Publications

@conference{Walid20181017b,

title = {Modelling, identification and control of a quadrotor UAV},

author = {Mizouri Walid and Najar Slaheddine and Aoun Mohamed and Bouabdallah Lamjed},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85060609636\&doi=10.1109%2fSSD.2018.8570512\&partnerID=40\&md5=b0620e6b48eff6b008da10a0093e2680},

doi = {10.1109/SSD.2018.8570512},

year  = {2018},

date = {2018-01-01},

journal = {2018 15th International Multi-Conference on Systems, Signals and Devices, SSD 2018},

pages = {1017 \textendash 1022},

abstract = {In this paper mathematical model of quadrotor Unmanned Aerial Vehicle UAV was developed using Euler-Lagrange approach, then model parameters was identified using calculations and experimental tests. In order to validate the estimated model a PID controller for attitude stabilisation was designed and tested by several simulation and experimental step responses. Finally a flight test was successfully accomplished providing the adequacy of the model. © 2018 IEEE.},

note = {Cited by: 6},

keywords = {Antennas, Attitude stabilisation, Estimated model, Experimental test, Identification (control systems), Model parameters, Models, PID controllers, Quad rotors, Quad-rotor UAV, Quadrotor unmanned aerial vehicles, Three term control systems, Unmanned aerial vehicles (UAV)},

pubstate = {published},

tppubtype = {conference}

}

@conference{Walid20181017,

title = {Modelling, identification and control of a quadrotor UAV},

author = {Mizouri Walid and Najar Slaheddine and Aoun Mohamed and Bouabdallah Lamjed},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85060609636\&doi=10.1109%2fSSD.2018.8570512\&partnerID=40\&md5=b0620e6b48eff6b008da10a0093e2680},

doi = {10.1109/SSD.2018.8570512},

year  = {2018},

date = {2018-01-01},

journal = {2018 15th International Multi-Conference on Systems, Signals and Devices, SSD 2018},

pages = {1017 \textendash 1022},

abstract = {In this paper mathematical model of quadrotor Unmanned Aerial Vehicle UAV was developed using Euler-Lagrange approach, then model parameters was identified using calculations and experimental tests. In order to validate the estimated model a PID controller for attitude stabilisation was designed and tested by several simulation and experimental step responses. Finally a flight test was successfully accomplished providing the adequacy of the model. © 2018 IEEE.},

note = {Cited by: 6},

keywords = {Antennas, Attitude stabilisation, Estimated model, Experimental test, Identification (control systems), Model parameters, Models, PID controllers, Quad rotors, Quad-rotor UAV, Quadrotor unmanned aerial vehicles, Three term control systems, Unmanned aerial vehicles (UAV)},

pubstate = {published},

tppubtype = {conference}

}

@conference{Yakoub2017271b,

title = {A comparison between the direct and the indirect fractional order closed-loop bias eliminated least squares method},

author = {Z. Yakoub and M. Chetoui and M. Amairi and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85024378403\&doi=10.1109%2fSTA.2016.7951978\&partnerID=40\&md5=f96317e305a1fb9879331639139ecc89},

doi = {10.1109/STA.2016.7951978},

year  = {2017},

date = {2017-01-01},

journal = {2016 17th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2016 - Proceedings},

pages = {271 \textendash 282},

abstract = {This paper deals with the fractional closed-loop system identification. A comparison between the direct and the indirect approach is processed. The fractional order bias eliminated least squares method is used to identify the fractional closed-loop transfer function. This method is founded on the ordinary least squares method and the state variable filter. A numerical example is treated to show the efficiency of each approach and discuss results. © 2016 IEEE.},

note = {Cited by: 0},

keywords = {Automation, Closed loops, Direct approach, Fractional differentiation, Identification (control systems), indirect approach, Least Square, Least squares approximations, Process control},

pubstate = {published},

tppubtype = {conference}

}

@conference{Salem2016640b,

title = {Instrumental variable based methods for continuous-time linear parameter varying system identification with fractional models},

author = {Thouraya Salem and Manel Chetoui and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84986183506\&doi=10.1109%2fMED.2016.7536043\&partnerID=40\&md5=42b2e04961aef2ea329989e32a842690},

doi = {10.1109/MED.2016.7536043},

year  = {2016},

date = {2016-01-01},

journal = {24th Mediterranean Conference on Control and Automation, MED 2016},

pages = {640 \textendash 645},

abstract = {This paper deals with continuous-time linear parameter varying (LPV) system identification with fractional models. Two variants of instrumental variables based techniques are proposed to estimate continuous-time parameters of a fractional differential equation linear parameter varying model when all fractional orders are assumed known a priori: the first one is the instrumental variables estimator based in an auxiliary model. The second one is the simplified refined instrumental variables estimator. A comparison study between the developed estimators is done via a numerical example. A Monte Carlo simulation analysis results are presented to illustrate the performances of the proposed methods in the presence of an additive output noise. © 2016 IEEE.},

note = {Cited by: 9},

keywords = {Continuous time systems, Continuous-time, Differential equations, Estimation, Fractional differential equations, Fractional differentiation, Identification (control systems), Instrumental variables, Intelligent systems, Linear parameter varying models, Linear parameter varying systems, Linear systems, LPV systems, Monte Carlo methods, Parameter estimation, Refined instrumental variables, Religious buildings},

pubstate = {published},

tppubtype = {conference}

}

@conference{Yakoub2015e,

title = {A direct fractional order bias eliminated least squares method for the fractional closed-loop system identification},

author = {Z. Yakoub and M. Chetoui and M. Amairi and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962688308\&doi=10.1109%2fSSD.2015.7348219\&partnerID=40\&md5=1523b25860bd1afff62b4ced5a164cdd},

doi = {10.1109/SSD.2015.7348219},

year  = {2015},

date = {2015-01-01},

journal = {12th International Multi-Conference on Systems, Signals and Devices, SSD 2015},

abstract = {The paper deals with the continuous-time fractional closed-loop system identification in a noisy output context. Both coefficients and fractional orders of the process are estimated using the direct approach. The proposed method is based on the least squares technique and the state variable filter. It is an extension of the bias eliminated least squares method to the fractional systems. It is combined to a nonlinear optimization algorithm in order to estimate both coefficients and fractional orders of the fractional process. A numerical example is presented to illustrate the performances of the proposed methods. © 2015 IEEE.},

note = {Cited by: 2},

keywords = {Algorithms, Closed loop systems, Closed loops, Continuous time systems, Continuous-time, Direct approach, Fractional differentiation, Identification (control systems), Least Square, Least squares approximations, Nonlinear programming, Numerical methods, Optimization, Religious buildings, State-variable filters},

pubstate = {published},

tppubtype = {conference}

}

@conference{Chetoui2014b,

title = {Fourth order cumulants in EIV system identification using fractional models. An electronic application},

author = {Manel Chetoui and Magalie Thomassin and Rachid Malti and Mohamed Aoun and Mohamed Naceur Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84918524787\&doi=10.1109%2fICFDA.2014.6967436\&partnerID=40\&md5=4864e15da0b3922a4215fa5c5ac8366c},

doi = {10.1109/ICFDA.2014.6967436},

year  = {2014},

date = {2014-01-01},

journal = {2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014},

abstract = {This paper considers the problem of identifying continuous-time fractional systems from noisy input/output measurements. Firstly, the differentiation orders are fixed and the differential equation coefficients are estimated using an estimator based on Higher-Order Statistics: fractional fourth-order cumulants based least squares (ffocls). Then, the commensurate order is estimated along with the differential equation coefficients using a non linear optimization technique combined to the ffocls algorithm (co-ffocls). Under some assumptions on the distributional properties of additive noises and the noise-free input signals, the developed estimators give consistent results. Hence, the noise-free input signal is assumed to be non gaussian, whereas the additive noises are assumed to be gaussian. The performances of the developed algorithms are assessed through a practical application for modeling a real electronic system. © 2014 IEEE.},

note = {Cited by: 0},

keywords = {Additive noise, Additives, commensurate order, Continuous time systems, Continuous-time, Differential equations, Electronic systems, Errors in variables, Fourth-order cumulants, Fractional differentiation, Higher order statistics, Identification (control systems), Nonlinear programming, Religious buildings, Signal processing},

pubstate = {published},

tppubtype = {conference}

}

@conference{Yakoub2014c,

title = {Indirect approach for closed-loop system identification with fractional models},

author = {Z. Yakoub and M. Chetoui and M. Amairi and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84918521162\&doi=10.1109%2fICFDA.2014.6967441\&partnerID=40\&md5=d666e64f7fc6c6a967f8001f8f810bf2},

doi = {10.1109/ICFDA.2014.6967441},

year  = {2014},

date = {2014-01-01},

journal = {2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014},

abstract = {This paper deals with fractional closed-loop system identification using the indirect approach. Firstly, all differentiation orders are supposed known and only the coefficients of the closed-loop fractional transfer function are estimated using two methods based on least squares techniques. Then, the fractional open-loop process is determined by the knowledge of the regulator. A numerical example is presented to show the effectiveness of the proposed scheme. © 2014 IEEE.},

note = {Cited by: 4},

keywords = {Calculations, Closed loop systems, Closed loops, Differentiation (calculus), Fractional calculus, Fractional model, Identification (control systems), Least Square, Least squares approximations, Least squares techniques, Open-loop process, Religious buildings, State-variable filters},

pubstate = {published},

tppubtype = {conference}

}

@conference{Yakoub2014128b,

title = {A bias-eliminated least squares method for continuous-time fractional closed-loop system identification},

author = {Z. Yakoub and M. Amairi and M. Chetoui and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84920520477\&doi=10.1109%2fCCA.2014.6981340\&partnerID=40\&md5=1e18e1e8dcd7b25d35f5589188cfe8a6},

doi = {10.1109/CCA.2014.6981340},

year  = {2014},

date = {2014-01-01},

journal = {2014 IEEE Conference on Control Applications, CCA. Part of 2014 IEEE Multi-conference on Systems and Control, MSC 2014},

pages = {128 \textendash 133},

abstract = {This paper deals with continuous-time fractional closed-loop system identification in a noisy output context. A bias correction method called the bias-eliminated least squares is extended for indirect approach identification of closed-loop system with fractional models. This method is based on the least squares method combined with the state variable filter and assumes that the regulator order can not be lower than the process order. The performances of the proposed method are assessed through a numerical example. © 2014 IEEE.},

note = {Cited by: 5},

keywords = {Closed loop systems, Closed loops, Continuous time systems, Continuous-time, Fractional differentiation, Identification (control systems), Least Square, Least squares approximations, Numerical methods, Religious buildings, State-variable filters},

pubstate = {published},

tppubtype = {conference}

}

@conference{Chetoui2014,

title = {Fourth order cumulants in EIV system identification using fractional models. An electronic application},

author = {Manel Chetoui and Magalie Thomassin and Rachid Malti and Mohamed Aoun and Mohamed Naceur Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84918524787\&doi=10.1109%2fICFDA.2014.6967436\&partnerID=40\&md5=4864e15da0b3922a4215fa5c5ac8366c},

doi = {10.1109/ICFDA.2014.6967436},

year  = {2014},

date = {2014-01-01},

journal = {2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014},

abstract = {This paper considers the problem of identifying continuous-time fractional systems from noisy input/output measurements. Firstly, the differentiation orders are fixed and the differential equation coefficients are estimated using an estimator based on Higher-Order Statistics: fractional fourth-order cumulants based least squares (ffocls). Then, the commensurate order is estimated along with the differential equation coefficients using a non linear optimization technique combined to the ffocls algorithm (co-ffocls). Under some assumptions on the distributional properties of additive noises and the noise-free input signals, the developed estimators give consistent results. Hence, the noise-free input signal is assumed to be non gaussian, whereas the additive noises are assumed to be gaussian. The performances of the developed algorithms are assessed through a practical application for modeling a real electronic system. © 2014 IEEE.},

note = {Cited by: 0},

keywords = {Additive noise, Additives, commensurate order, Continuous time systems, Continuous-time, Differential equations, Electronic systems, Errors in variables, Fourth-order cumulants, Fractional differentiation, Higher order statistics, Identification (control systems), Nonlinear programming, Religious buildings, Signal processing},

pubstate = {published},

tppubtype = {conference}

}

@conference{Chetoui2013c,

title = {Fourth-order cumulants based method for continuous-time EIV fractional model identification},

author = {Manel Chetoui and Rachid Malti and Magalie Thomassin and Slaheddine Najar and Mohamed Aoun and Mohamed Naceur Abdelkrim and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84883101214\&doi=10.1109%2fSSD.2013.6564119\&partnerID=40\&md5=ea605860656fc371483bf9eefe2534d0},

doi = {10.1109/SSD.2013.6564119},

year  = {2013},

date = {2013-01-01},

journal = {2013 10th International Multi-Conference on Systems, Signals and Devices, SSD 2013},

abstract = {The errors-in-variables (EIV) system identification problem concerns the dynamic systems whose discrete input and output are corrupted by additive noises, that can be white, colored and/or mutually correlated. In this paper, a new estimator based on Higher-Order Statistics (fourth-order cumulants) is proposed for continuous-time system identification with fractional models. Under some assumptions on the distributional properties of the noise and noise-free signals, the fractional fourth-order cumulants based least squares (ffocls) estimator gives consistent results. A numerical example illustrates the performance of the proposed method. © 2013 IEEE.},

note = {Cited by: 4},

keywords = {Continuous time systems, Continuous-time, Continuous-time system identification, Distributional property, Errors, Errors in variables, Fourth-order cumulants, Fractional differentiation, Fractional model identification, Higher order statistics, Identification (control systems), System identification problems},

pubstate = {published},

tppubtype = {conference}

}

@conference{Chetoui2013,

title = {Fourth-order cumulants based method for continuous-time EIV fractional model identification},

author = {Manel Chetoui and Rachid Malti and Magalie Thomassin and Slaheddine Najar and Mohamed Aoun and Mohamed Naceur Abdelkrim and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84883101214\&doi=10.1109%2fSSD.2013.6564119\&partnerID=40\&md5=ea605860656fc371483bf9eefe2534d0},

doi = {10.1109/SSD.2013.6564119},

year  = {2013},

date = {2013-01-01},

journal = {2013 10th International Multi-Conference on Systems, Signals and Devices, SSD 2013},

abstract = {The errors-in-variables (EIV) system identification problem concerns the dynamic systems whose discrete input and output are corrupted by additive noises, that can be white, colored and/or mutually correlated. In this paper, a new estimator based on Higher-Order Statistics (fourth-order cumulants) is proposed for continuous-time system identification with fractional models. Under some assumptions on the distributional properties of the noise and noise-free signals, the fractional fourth-order cumulants based least squares (ffocls) estimator gives consistent results. A numerical example illustrates the performance of the proposed method. © 2013 IEEE.},

note = {Cited by: 4},

keywords = {Continuous time systems, Continuous-time, Continuous-time system identification, Distributional property, Errors, Errors in variables, Fourth-order cumulants, Fractional differentiation, Fractional model identification, Higher order statistics, Identification (control systems), System identification problems},

pubstate = {published},

tppubtype = {conference}

}

@conference{Chetoui20121641b,

title = {EIV methods for system identification with fractional models},

author = {Manel Chetoui and Rachid Malti and Magalie Thomassin and Mohamed Aoun and Slaheddine Najar and Alain Oustaloup and Mohamed Naceur Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84867084248\&doi=10.3182%2f20120711-3-BE-2027.00270\&partnerID=40\&md5=dada6960d43c8fb326f09161d504d824},

doi = {10.3182/20120711-3-BE-2027.00270},

year  = {2012},

date = {2012-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {16},

number = {PART 1},

pages = {1641 \textendash 1646},

abstract = {This paper deals with continuous-time system identification with fractional models in Errors-In-Variables context. Two estimators based on Higher-Order Statistics (third-order cumulants) are proposed. A State Variable Filter approach is extended to fractional orders to compute fractional derivatives of third-order cumulants estimates. The performance of the proposed algorithms is illustrated in a numerical example. Firstly, differentiation orders are fixed and differential equation coefficients are estimated. The consistency of the proposed estimators is evaluated through a study of the tuning parameter and Monte Carlo simulations. Then, the commensurate differentiation order is optimized along with the differential equation coefficients. © 2012 IFAC.},

note = {Cited by: 14},

keywords = {Continuous time systems, Continuous-time, Cumulants, Differential equations, Errors in variables, Fractional SVF, Higher order statistics, Identification (control systems), Iterative, Iterative methods, Least Square, Monte Carlo methods, Religious buildings},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2011,

title = {An ellipsoidal set-membership parameter estimation of fractional orders systems},

author = {M. Aoun and M. Amairi and Z. Lassoued and S. Najar and M. N. Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79957881899\&doi=10.1109%2fSSD.2011.5767416\&partnerID=40\&md5=f4a561276b178fc18bfc9dea1dc69866},

doi = {10.1109/SSD.2011.5767416},

isbn = {9781457704130},

year  = {2011},

date = {2011-01-01},

journal = {International Multi-Conference on Systems, Signals and Devices, SSD'11 - Summary Proceedings},

abstract = {This paper presents a new ellipsoidal set-membership method for the identification of linear fractional orders systems. It use the Optimal Bounding Ellipsoid (OBE) algorithm. When the probability distribution of the disturbances is unknown but bounded and when the differentiation orders are known, the proposed method can estimate all the feasible parameters. A numerical example shows the effectiveness of the proposed method. © 2011 IEEE.},

note = {cited By 4},

keywords = {Algorithms; Numerical methods; Parameter estimation; Probability distributions, Fogel-Huang algorithm; Fractional differentiation; Fractional systems; OBE; Set-membership; system identification, Identification (control systems)},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2011e,

title = {An ellipsoidal set-membership parameter estimation of fractional orders systems},

author = {M. Aoun and M. Amairi and Z. Lassoued and S. Najar and M. N. Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79957881899\&doi=10.1109%2fSSD.2011.5767416\&partnerID=40\&md5=f4a561276b178fc18bfc9dea1dc69866},

doi = {10.1109/SSD.2011.5767416},

year  = {2011},

date = {2011-01-01},

journal = {International Multi-Conference on Systems, Signals and Devices, SSD'11 - Summary Proceedings},

abstract = {This paper presents a new ellipsoidal set-membership method for the identification of linear fractional orders systems. It use the Optimal Bounding Ellipsoid (OBE) algorithm. When the probability distribution of the disturbances is unknown but bounded and when the differentiation orders are known, the proposed method can estimate all the feasible parameters. A numerical example shows the effectiveness of the proposed method. © 2011 IEEE.},

note = {Cited by: 4},

keywords = {Algorithms, Fogel-Huang algorithm, Fractional differentiation, Fractional systems, Identification (control systems), Numerical methods, OBE, Parameter estimation, Probability distributions, Set-membership, system identification},

pubstate = {published},

tppubtype = {conference}

}

@conference{Chetoui2011b,

title = {Third-order cumulants based method for continuous-time Errors-In-Variables system identification by fractional models},

author = {M. Chetoui and R. Malti and M. Thomassin and M. Aoun and S. Najar and M. N. Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79957885868\&doi=10.1109%2fSSD.2011.5767441\&partnerID=40\&md5=4b772c437279fdf033e958405ca83efc},

doi = {10.1109/SSD.2011.5767441},

year  = {2011},

date = {2011-01-01},

journal = {International Multi-Conference on Systems, Signals and Devices, SSD'11 - Summary Proceedings},

abstract = {This paper deals with continuous-time system identification using fractional models in a noisy input/output context. The third-order cumulants based least squares method (tocls) is extended here to fractional models. The derivatives of the third-order cumulants are computed using a new fractional state variable filter. A numerical example is used to demonstrate the performance of the proposed method called ftocls (fractional third-order cumulants based least squares). The effect of the signal-to-noise ratio and the hyperparameter is studied. © 2011 IEEE.},

note = {Cited by: 3},

keywords = {Continuous time systems, Cumulants, Errors in variables, Fractional derivatives, Fractional SVF, High order statistics, Identification (control systems), Indium compounds, Least squares approximations, Numerical methods, Religious buildings, Signal to noise ratio},

pubstate = {published},

tppubtype = {conference}

}

@conference{Amairi2010246,

title = {Guaranteed output-error identification of fractional order model},

author = {M. Amairi and S. Najar and M. Aoun and M. N. Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-77957959879\&doi=10.1109%2fICACC.2010.5486678\&partnerID=40\&md5=529c5385abe1d52046a96f58bae0e649},

doi = {10.1109/ICACC.2010.5486678},

isbn = {9781424458462},

year  = {2010},

date = {2010-01-01},

journal = {Proceedings - 2nd IEEE International Conference on Advanced Computer Control, ICACC 2010},

volume = {2},

pages = {246-250},

publisher = {IEEE Computer Society},

abstract = {A global optimization technique for identifying an output-error fractional order model is proposed. The proposed technique use a modified version of Hansen algorithm. It is capable of estimating the fractional orders and the parameters, with guaranteed convergence. The technique is applied to identify a fractional order system in deterministic and stochastic context. © 2010 IEEE.},

note = {cited By 13},

keywords = {Fractional differentiation; Fractional model; Fractional order; Fractional order models; Fractional-order systems; Global optimization techniques; Guaranteed convergence; Interval analysis; System identifications, Global optimization; Optimization, Identification (control systems)},

pubstate = {published},

tppubtype = {conference}

}

@conference{Amairi2010246b,

title = {Guaranteed output-error identification of fractional order model},

author = {Messaoud Amairi and Slaheddine Najar and Mohamed Aoun and M. N. Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-77957959879\&doi=10.1109%2fICACC.2010.5486678\&partnerID=40\&md5=529c5385abe1d52046a96f58bae0e649},

doi = {10.1109/ICACC.2010.5486678},

year  = {2010},

date = {2010-01-01},

journal = {Proceedings - 2nd IEEE International Conference on Advanced Computer Control, ICACC 2010},

volume = {2},

pages = {246 \textendash 250},

abstract = {A global optimization technique for identifying an output-error fractional order model is proposed. The proposed technique use a modified version of Hansen algorithm. It is capable of estimating the fractional orders and the parameters, with guaranteed convergence. The technique is applied to identify a fractional order system in deterministic and stochastic context. © 2010 IEEE.},

note = {Cited by: 13},

keywords = {Fractional differentiation, Fractional model, Fractional order, Fractional order models, Fractional-order systems, Global optimization, Global optimization techniques, Guaranteed convergence, Identification (control systems), Interval analysis, Optimization, System identifications},

pubstate = {published},

tppubtype = {conference}

}

@conference{Sabatier2006296b,

title = {Estimation of lead acid battery state of charge with a novel fractional model},

author = {Jocelyn Sabatier and Mohamed Aoun and Alain Oustaloup and Gilles Gr\'{e}goire and Franck Ragot and Patrick Roy},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79961119705\&doi=10.3182%2f20060719-3-pt-4902.00055\&partnerID=40\&md5=9143767bcfb728f82eb830b573639f17},

doi = {10.3182/20060719-3-pt-4902.00055},

year  = {2006},

date = {2006-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {2},

number = {PART 1},

pages = {296 \textendash 301},

abstract = {This paper deals with the application of fractional system identification to lead acid battery state of charge estimation. Fractional behavior of lead acid batteries is justified. A fractional system identification method recently developed is presented and a new fractional model of the battery is proposed. Based on parameter variations of this model, a state of charge estimation method is presented. Validation tests of this method on unknown state of charge are carried out. These validation tests highlights that the proposed estimation method gives a state of charge estimation with an error less than 5% whatever the operating temperature.},

note = {Cited by: 6; All Open Access, Bronze Open Access},

keywords = {Application programs, Battery management systems, Charging (batteries), Estimation methods, Fractional behavior, Fractional model, Fractional systems, Identification (control systems), Lead acid batteries, Operating temperature, Religious buildings, State-of-charge estimation, Unknown state, Validation test},

pubstate = {published},

tppubtype = {conference}

}

@conference{Sabatier2006296,

title = {Estimation of lead acid battery state of charge with a novel fractional model},

author = {Jocelyn Sabatier and Mohamed Aoun and Alain Oustaloup and Gilles Gr\'{e}goire and Franck Ragot and Patrick Roy},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79961119705\&doi=10.3182%2f20060719-3-pt-4902.00055\&partnerID=40\&md5=9143767bcfb728f82eb830b573639f17},

doi = {10.3182/20060719-3-pt-4902.00055},

year  = {2006},

date = {2006-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {2},

number = {PART 1},

pages = {296 \textendash 301},

abstract = {This paper deals with the application of fractional system identification to lead acid battery state of charge estimation. Fractional behavior of lead acid batteries is justified. A fractional system identification method recently developed is presented and a new fractional model of the battery is proposed. Based on parameter variations of this model, a state of charge estimation method is presented. Validation tests of this method on unknown state of charge are carried out. These validation tests highlights that the proposed estimation method gives a state of charge estimation with an error less than 5% whatever the operating temperature.},

note = {Cited by: 6; All Open Access, Bronze Open Access},

keywords = {Application programs, Battery management systems, Charging (batteries), Estimation methods, Fractional behavior, Fractional model, Fractional systems, Identification (control systems), Lead acid batteries, Operating temperature, Religious buildings, State-of-charge estimation, Unknown state, Validation test},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2005321b,

title = {Synthesis and simulation of fractional orthonormal bases},

author = {Mohamed Aoun and Rachid Malti and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79960728807\&doi=10.3182%2f20050703-6-cz-1902.00054\&partnerID=40\&md5=5c498af2463f1ea3d44d2514622362c8},

doi = {10.3182/20050703-6-cz-1902.00054},

year  = {2005},

date = {2005-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {16},

pages = {321 \textendash 326},

abstract = {Although rational orthogonal bases can be used to model any L2[0,∞[ system, they fail to capture the aperiodic multi-mode behaviour of fractional systems in a limited number of terms. The classical definition of orthogonal Laguerre, Kautz, and GOB functions has been extended for the use of fractional derivatives. An appropriate diagram is thus proposed for simulation. Copyright © 2005 IFAC.},

note = {Cited by: 1; All Open Access, Green Open Access},

keywords = {Calculations, Dynamical systems, Fractional calculus, Fractional derivatives, Fractional systems, Identification (control systems), Multimodes, Orthogonal basis, Orthogonal functions, Orthonormal basis, Rational orthogonal basis, simulation},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2005321,

title = {Synthesis and simulation of fractional orthonormal bases},

author = {Mohamed Aoun and Rachid Malti and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79960728807\&doi=10.3182%2f20050703-6-cz-1902.00054\&partnerID=40\&md5=5c498af2463f1ea3d44d2514622362c8},

doi = {10.3182/20050703-6-cz-1902.00054},

year  = {2005},

date = {2005-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {16},

pages = {321 \textendash 326},

abstract = {Although rational orthogonal bases can be used to model any L2[0,∞[ system, they fail to capture the aperiodic multi-mode behaviour of fractional systems in a limited number of terms. The classical definition of orthogonal Laguerre, Kautz, and GOB functions has been extended for the use of fractional derivatives. An appropriate diagram is thus proposed for simulation. Copyright © 2005 IFAC.},

note = {Cited by: 1; All Open Access, Green Open Access},

keywords = {Calculations, Dynamical systems, Fractional calculus, Fractional derivatives, Fractional systems, Identification (control systems), Multimodes, Orthogonal basis, Orthogonal functions, Orthonormal basis, Rational orthogonal basis, simulation},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti2004835,

title = {Synthesis of fractional Kautz-like basis with two periodically repeating complex conjugate modes},

author = {Rachid Malti and Mohamed Aoun and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-3042685548\&partnerID=40\&md5=957efcea75f0a5a34f4a77d45bd6e85c},

year  = {2004},

date = {2004-01-01},

journal = {International Symposium on Control, Communications and Signal Processing, ISCCSP},

pages = {835 \textendash 839},

abstract = {Fractional Kautz-like functions are synthesized extrapolating the definition of classical Kautz functions to fractional derivatives. The synthesized bases has two periodically repeating complex conjugate modes. The new basis extends the definition of the fractional Laguerre basis, by allowing the modes to be complex. An example is then provided in system identification context.},

note = {Cited by: 19},

keywords = {Approximation theory, Differential equations, Dynamical systems, Extrapolation, Fractional calculus, Fractional derivatives, Generalized orthogonal basis (GOB), Identification (control systems), Laplace transforms, Linear control systems, Mathematical models, Model reduction, Orthogonal functions, Polynomials, Set theory, System stability, Transfer functions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti2004835b,

title = {Synthesis of fractional Kautz-like basis with two periodically repeating complex conjugate modes},

author = {Rachid Malti and Mohamed Aoun and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-3042685548\&partnerID=40\&md5=957efcea75f0a5a34f4a77d45bd6e85c},

year  = {2004},

date = {2004-01-01},

journal = {International Symposium on Control, Communications and Signal Processing, ISCCSP},

pages = {835 \textendash 839},

abstract = {Fractional Kautz-like functions are synthesized extrapolating the definition of classical Kautz functions to fractional derivatives. The synthesized bases has two periodically repeating complex conjugate modes. The new basis extends the definition of the fractional Laguerre basis, by allowing the modes to be complex. An example is then provided in system identification context.},

note = {Cited by: 19},

keywords = {Approximation theory, Differential equations, Dynamical systems, Extrapolation, Fractional calculus, Fractional derivatives, Generalized orthogonal basis (GOB), Identification (control systems), Laplace transforms, Linear control systems, Mathematical models, Model reduction, Orthogonal functions, Polynomials, Set theory, System stability, Transfer functions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti20031663,

title = {Fractional Multimodels - Application to Heat Transfer Modeling},

author = {R. Malti and M. Aoun and J. -L. Battaglia and A. Oustaloup and K. Madani},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84875296967\&doi=10.1016%2fS1474-6670%2817%2934999-6\&partnerID=40\&md5=4d376fa9be56a199ca80c932be521309},

doi = {10.1016/S1474-6670(17)34999-6},

year  = {2003},

date = {2003-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {36},

number = {16},

pages = {1663 \textendash 1668},

abstract = {This paper deals with identification of non linear systems using non linear fractional differentiation multimodels. All sub-models are described by fractional differentiation transfer functions. Performance of the newly proposed class of models is illustrated on a heat transfer process near a phase change temperature. © 2003 International Federation of Automatic Control.},

note = {Cited by: 4},

keywords = {Fractional differentiation, Fractional dynamics, Fractional order, Heat transfer model, Heat transfer performance, Heat transfer process, Identification (control systems), Linear systems, Multi-model, Multi-models, Nonlinear systems, Phase change temperature},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun20031333,

title = {Orthonormal basis functions for modeling continuous-time fractional systems},

author = {Mohamed Aoun and Rachid Malti and Francois Levron and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017520336\&doi=10.1016%2fS1474-6670%2817%2934945-5\&partnerID=40\&md5=51049a0530b07591d53a06e9bfa5d400},

doi = {10.1016/S1474-6670(17)34945-5},

year  = {2003},

date = {2003-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {36},

number = {16},

pages = {1333 \textendash 1338},

abstract = {The classical Laguerre functions are known to be divergent as soon as their differentiation order is non-integer. They are hence inappropriate for representing fractional differentiation systems. A complete orthogonal basis, having fractional differentiation orders and a single pole, is synthesized. It extends the well-known definition of Laguerre functions to fractional systems. Hence a new class of fixed denominator models is provided for system identification. Fourier coefficients are computed using a least squares method. The least squares error is plotted versus the differentiation order and the pole, in an example, and shows that an optimal differentiation order may be located away from an integer number. Hence, the use of the synthesized basis is fully justitied. © 2003 International Federation of Automatic Control.},

note = {Cited by: 11; All Open Access, Bronze Open Access},

keywords = {Continuous time systems, Fourier analysis, Fourier coefficients, Fractional differentiation, Fractional systems, Identification (control systems), Laguerre filter, Laguerre functions, Least squares approximations, Least squares errors, Least squares methods, Orthogonal functions, Orthonormal basis functions, Poles, Religious buildings},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti20031663b,

title = {Fractional Multimodels - Application to Heat Transfer Modeling},

author = {R. Malti and M. Aoun and J. -L. Battaglia and A. Oustaloup and K. Madani},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84875296967\&doi=10.1016%2fS1474-6670%2817%2934999-6\&partnerID=40\&md5=4d376fa9be56a199ca80c932be521309},

doi = {10.1016/S1474-6670(17)34999-6},

year  = {2003},

date = {2003-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {36},

number = {16},

pages = {1663 \textendash 1668},

abstract = {This paper deals with identification of non linear systems using non linear fractional differentiation multimodels. All sub-models are described by fractional differentiation transfer functions. Performance of the newly proposed class of models is illustrated on a heat transfer process near a phase change temperature. © 2003 International Federation of Automatic Control.},

note = {Cited by: 4},

keywords = {Fractional differentiation, Fractional dynamics, Fractional order, Heat transfer model, Heat transfer performance, Heat transfer process, Identification (control systems), Linear systems, Multi-model, Multi-models, Nonlinear systems, Phase change temperature},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun20031333b,

title = {Orthonormal basis functions for modeling continuous-time fractional systems},

author = {Mohamed Aoun and Rachid Malti and Francois Levron and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017520336\&doi=10.1016%2fS1474-6670%2817%2934945-5\&partnerID=40\&md5=51049a0530b07591d53a06e9bfa5d400},

doi = {10.1016/S1474-6670(17)34945-5},

year  = {2003},

date = {2003-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {36},

number = {16},

pages = {1333 \textendash 1338},

abstract = {The classical Laguerre functions are known to be divergent as soon as their differentiation order is non-integer. They are hence inappropriate for representing fractional differentiation systems. A complete orthogonal basis, having fractional differentiation orders and a single pole, is synthesized. It extends the well-known definition of Laguerre functions to fractional systems. Hence a new class of fixed denominator models is provided for system identification. Fourier coefficients are computed using a least squares method. The least squares error is plotted versus the differentiation order and the pole, in an example, and shows that an optimal differentiation order may be located away from an integer number. Hence, the use of the synthesized basis is fully justitied. © 2003 International Federation of Automatic Control.},

note = {Cited by: 11; All Open Access, Bronze Open Access},

keywords = {Continuous time systems, Fourier analysis, Fourier coefficients, Fractional differentiation, Fractional systems, Identification (control systems), Laguerre filter, Laguerre functions, Least squares approximations, Least squares errors, Least squares methods, Orthogonal functions, Orthonormal basis functions, Poles, Religious buildings},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2002265,

title = {System identification using fractional hammerstein models},

author = {Mohamed Aoun and Rachid Malti and Olivier Cois and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945550683\&doi=10.3182%2f20020721-6-es-1901.01030\&partnerID=40\&md5=106ff8852a5dbedf91e03c25f0e7bb03},

doi = {10.3182/20020721-6-es-1901.01030},

year  = {2002},

date = {2002-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {15},

number = {1},

pages = {265 \textendash 269},

abstract = {Identification of continuous-time non-linear systems characterised by fractional order dynamics is studied. The Riemann-Liouville definition of fractional differentiation is used. A new identification method is proposed through the extension of Hammerstein-type models by allowing their linear part to belong to the class of fractional models. Fractional models are compact and so are used here to model complex dynamics with few parameters. Copyright © 2002 IFAC.},

note = {Cited by: 23},

keywords = {Automation, Continuous time systems, Fractional differentiation, Fractional model, Fractional order, Hammerstein model, Hammerstein-type models, Identification (control systems), Identification method, Linear systems, Non-linear modelling, Nonlinear systems, Riemann-liouville definitions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2002265b,

title = {System identification using fractional hammerstein models},

author = {Mohamed Aoun and Rachid Malti and Olivier Cois and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945550683\&doi=10.3182%2f20020721-6-es-1901.01030\&partnerID=40\&md5=106ff8852a5dbedf91e03c25f0e7bb03},

doi = {10.3182/20020721-6-es-1901.01030},

year  = {2002},

date = {2002-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {15},

number = {1},

pages = {265 \textendash 269},

abstract = {Identification of continuous-time non-linear systems characterised by fractional order dynamics is studied. The Riemann-Liouville definition of fractional differentiation is used. A new identification method is proposed through the extension of Hammerstein-type models by allowing their linear part to belong to the class of fractional models. Fractional models are compact and so are used here to model complex dynamics with few parameters. Copyright © 2002 IFAC.},

note = {Cited by: 23},

keywords = {Automation, Continuous time systems, Fractional differentiation, Fractional model, Fractional order, Hammerstein model, Hammerstein-type models, Identification (control systems), Identification method, Linear systems, Non-linear modelling, Nonlinear systems, Riemann-liouville definitions},

pubstate = {published},

tppubtype = {conference}

}