Publications

@conference{Guefrachi201714563b,

title = {Tuning of Fractional Complex Order PID Controller},

author = {Ayadi Guefrachi and Slaheddine Najar and Messaoud Amairi and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85044862009\&doi=10.1016%2fj.ifacol.2017.08.2093\&partnerID=40\&md5=7d6e94566853a2d70c14eca6f8255d30},

doi = {10.1016/j.ifacol.2017.08.2093},

year  = {2017},

date = {2017-01-01},

volume = {50},

number = {1},

pages = {14563 \textendash 14568},

abstract = {This paper deals with a new structure of Fractional Complex Order Controller (FCOC) with the form PIDx+iy, in which x and y are the real and imaginary parts of the derivative complex order, respectively. A tuning method for the Controller based on numerical optimization is presented to ensure the controlled system robustness toward gain variations and noise. This can be obtained by fulfilling five design requirements. The proposed design method is applied for the control of a Second Order Plus Time Delay resonant system. The effectiveness of the FCOC design method is checked through frequency and time domain analysis. © 2017},

note = {Cited by: 22; All Open Access, Bronze Open Access},

keywords = {Calculations, Complex order controllers, Controlled system robustness, Controllers, Delay control systems, Design, Electric control equipment, Fractional calculus, Frequency and time domains, Frequency domain analysis, Gain variations, Numeric optimization, Numerical methods, Numerical optimizations, Optimization, PID controllers, Proportional control systems, Robust control, Three term control systems, Time domain analysis},

pubstate = {published},

tppubtype = {conference}

}

@conference{BenHmed2015c,

title = {Stabilizing fractional order controller design for first and second order systems},

author = {A. Ben Hmed and M. Amairi and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962682322\&doi=10.1109%2fSSD.2015.7348217\&partnerID=40\&md5=2c2fa689ec9eee718997cc0d455c46d3},

doi = {10.1109/SSD.2015.7348217},

year  = {2015},

date = {2015-01-01},

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

abstract = {The paper deals with the stabilization problem of the Linear Time Invariant system. In this work, we present a new method of stabilization addressed to the first and second order unstable system in order to guarantee the stability and the time domain performances. Analytic expressions are developed in the purpose of setting the stabilizing parameters of the controller by describing the stability region. Moreover, the time domain-curves of the desired closed-loop system are used to show time domain specifications. Finally, some numerical examples and a control of DC motor are proposed in order to show the benefits and the reliability of the new technique. © 2015 IEEE.},

note = {Cited by: 1},

keywords = {Analytic expressions, Calculations, Closed loop systems, Control, Controllers, DC motors, Electric machine control, Fractional calculus, Fractional-order controllers, Invariance, Linear systems, Linear time invariant systems, Numerical methods, Resonance, Second-order systemss, Stability regions, Stabilization, Stabilization problems, Time domain analysis, Time varying control systems, Time-domain specifications},

pubstate = {published},

tppubtype = {conference}

}

@conference{BenHmed2015e,

title = {Stabilizing fractional order controller design for first and second order systems},

author = {A. Ben Hmed and M. Amairi and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962682322\&doi=10.1109%2fSSD.2015.7348217\&partnerID=40\&md5=2c2fa689ec9eee718997cc0d455c46d3},

doi = {10.1109/SSD.2015.7348217},

year  = {2015},

date = {2015-01-01},

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

abstract = {The paper deals with the stabilization problem of the Linear Time Invariant system. In this work, we present a new method of stabilization addressed to the first and second order unstable system in order to guarantee the stability and the time domain performances. Analytic expressions are developed in the purpose of setting the stabilizing parameters of the controller by describing the stability region. Moreover, the time domain-curves of the desired closed-loop system are used to show time domain specifications. Finally, some numerical examples and a control of DC motor are proposed in order to show the benefits and the reliability of the new technique. © 2015 IEEE.},

note = {Cited by: 1},

keywords = {Analytic expressions, Calculations, Closed loop systems, Control, Controllers, DC motors, Electric machine control, Fractional calculus, Fractional-order controllers, Invariance, Linear systems, Linear time invariant systems, Numerical methods, Resonance, Second-order systemss, Stability regions, Stabilization, Stabilization problems, Time domain analysis, Time varying control systems, Time-domain specifications},

pubstate = {published},

tppubtype = {conference}

}

@conference{BenHmed2014c,

title = {Resonance study of an elementary fractional transfer function of the third kind},

author = {A. Ben Hmed and M. Amairi and S. Najar and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84918559010\&doi=10.1109%2fICFDA.2014.6967437\&partnerID=40\&md5=51f3f51fd1030a736600ac71ffd6702d},

doi = {10.1109/ICFDA.2014.6967437},

year  = {2014},

date = {2014-01-01},

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

abstract = {This work is devoted to the stability and resonance study of the elementary fractional transfer function of the third kind. Some basic properties of this transfer function which is written in the canonical form and characterized by a non commensurate order, a pseudo-damping factor and a natural frequency, are presented. A resonance and stability condition is established numerically in terms of the non commensurate order and the pseudo-damping factor. Many frequency-domain curves are given to determine graphically the pseudo-damping factor and the non commensurate order for a desired normalized gain and normalized resonant frequency. Illustrative examples are presented to show the correctness and the usefulness of these curves. © 2014 IEEE.},

note = {Cited by: 3},

keywords = {Calculations, Canonical form, Damping, Damping factors, Differentiation (calculus), Fractional calculus, Frequency domain analysis, Frequency domain curves, Frequency domains, Natural frequencies, Normalized gains, Resonance, Stability condition, Systems analysis, Transfer functions},

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{Saidi2014468b,

title = {Min-Max optimization-based design of fractional PID controller},

author = {B. Saidi and M. Amairi and S. Najar and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84983109471\&doi=10.1109%2fSTA.2014.7086745\&partnerID=40\&md5=6eeb92ac9f210d24ef95f1d1e273f5f4},

doi = {10.1109/STA.2014.7086745},

year  = {2014},

date = {2014-01-01},

journal = {STA 2014 - 15th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering},

pages = {468 \textendash 473},

abstract = {This paper deals with a new design method of a fractional PID controller. The proposed method is based on a numerical constrained Min-Max optimization algorithm. Its main objective is the improvement of the transient response, the stability margin, the robustness and the load disturbance rejection capability. All these performances are tested through a simulation example. © 2014 IEEE.},

note = {Cited by: 3},

keywords = {Algorithms, Automation, Calculations, Constrained optimization, Convergence of numerical methods, Design method, Disturbance rejection, Electric control equipment, Fractional calculus, Fractional pid controllers, Load disturbance rejection capabilities, Min-max optimization, Numerical methods, Optimization, Proportional control systems, Robustness (control systems), Simulation example, Stability margins, Three term control systems},

pubstate = {published},

tppubtype = {conference}

}

@conference{Saidi2014d,

title = {Fractional PI design for time delay systems based on min-max optimization},

author = {B. Saidi and M. Amairi and S. Najar and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84918493100\&doi=10.1109%2fICFDA.2014.6967440\&partnerID=40\&md5=0ff2543768ac0713978d10873e94b207},

doi = {10.1109/ICFDA.2014.6967440},

year  = {2014},

date = {2014-01-01},

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

abstract = {This paper presents a new design method of a fractional order PI (FO-PI) for time delay systems based on the min-max numerical optimization. The proposed method uses a constrained optimization algorithm to determine the unknown parameters of the controller and has an objective to improve the transient response, stability margin, stability robustness and load disturbance rejection. A simulation example is presented to show the effectiveness of the proposed design method for a First Order Plus Dead Time system (FOPDT). © 2014 IEEE.},

note = {Cited by: 7},

keywords = {Calculations, Constrained optimization, Delay control systems, Design, Differentiation (calculus), Disturbance rejection, First order plus dead time, Fractional calculus, Frequency specifications, Load disturbance rejection, Min-max optimization, Multiobjective optimization, Numerical methods, Numerical optimizations, Robust controllers, System stability, Time delay, Time-delay systems, Timing circuits, Transient analysis},

pubstate = {published},

tppubtype = {conference}

}

@conference{BenHmed2014e,

title = {Resonance study of an elementary fractional transfer function of the third kind},

author = {A. Ben Hmed and M. Amairi and S. Najar and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84918559010\&doi=10.1109%2fICFDA.2014.6967437\&partnerID=40\&md5=51f3f51fd1030a736600ac71ffd6702d},

doi = {10.1109/ICFDA.2014.6967437},

year  = {2014},

date = {2014-01-01},

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

abstract = {This work is devoted to the stability and resonance study of the elementary fractional transfer function of the third kind. Some basic properties of this transfer function which is written in the canonical form and characterized by a non commensurate order, a pseudo-damping factor and a natural frequency, are presented. A resonance and stability condition is established numerically in terms of the non commensurate order and the pseudo-damping factor. Many frequency-domain curves are given to determine graphically the pseudo-damping factor and the non commensurate order for a desired normalized gain and normalized resonant frequency. Illustrative examples are presented to show the correctness and the usefulness of these curves. © 2014 IEEE.},

note = {Cited by: 3},

keywords = {Calculations, Canonical form, Damping, Damping factors, Differentiation (calculus), Fractional calculus, Frequency domain analysis, Frequency domain curves, Frequency domains, Natural frequencies, Normalized gains, Resonance, Stability condition, Systems analysis, Transfer functions},

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{Malti2002449b,

title = {Energy of fractional order transfer functions},

author = {Rachid Malti and Olivier Cois and Mohammed Aoun and Fran\c{c}ois Levron and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945534478\&doi=10.3182%2f20020721-6-es-1901.00156\&partnerID=40\&md5=ec06924b792120270d919ea8a5620e72},

doi = {10.3182/20020721-6-es-1901.00156},

year  = {2002},

date = {2002-01-01},

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

volume = {15},

number = {1},

pages = {449 \textendash 454},

abstract = {The objective of the paper is to compute the impulse response energy of a fractional order transfer function having a single mode. The differentiation order n, defined in the sense of Riemann-Liouville, is allowed to be a strictly positive real number. A necessary and sufficient condition is established on n, in order for the impulse response to belong to the Lebesgue space L2[0, ∞[ of square integrable functions on [0, ∞[. Copyright © 2002 IFAC.},

note = {Cited by: 5; All Open Access, Bronze Open Access},

keywords = {Automation, Calculations, Differentiation (calculus), Dynamical systems, Fractional calculus, Fractional order differentiations, Fractional order transfer function, Impulse response, Impulse response energy, Lebesgue space, Single mode, Square integrable, Strictly positive real, Transfer functions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti2002449,

title = {Energy of fractional order transfer functions},

author = {Rachid Malti and Olivier Cois and Mohammed Aoun and Fran\c{c}ois Levron and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945534478\&doi=10.3182%2f20020721-6-es-1901.00156\&partnerID=40\&md5=ec06924b792120270d919ea8a5620e72},

doi = {10.3182/20020721-6-es-1901.00156},

year  = {2002},

date = {2002-01-01},

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

volume = {15},

number = {1},

pages = {449 \textendash 454},

abstract = {The objective of the paper is to compute the impulse response energy of a fractional order transfer function having a single mode. The differentiation order n, defined in the sense of Riemann-Liouville, is allowed to be a strictly positive real number. A necessary and sufficient condition is established on n, in order for the impulse response to belong to the Lebesgue space L2[0, ∞[ of square integrable functions on [0, ∞[. Copyright © 2002 IFAC.},

note = {Cited by: 5; All Open Access, Bronze Open Access},

keywords = {Automation, Calculations, Differentiation (calculus), Dynamical systems, Fractional calculus, Fractional order differentiations, Fractional order transfer function, Impulse response, Impulse response energy, Lebesgue space, Single mode, Square integrable, Strictly positive real, Transfer functions},

pubstate = {published},

tppubtype = {conference}

}