Publications

@conference{Gasmi20205970b,

title = {Robust sliding window observer-based controller design for Lipschitz discrete-time systems},

author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun and Ghazi Bel Haj Frej},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85105105551\&doi=10.1016%2fj.ifacol.2020.12.1653\&partnerID=40\&md5=ca2d32f962938252839ec3d85f2bef8f},

doi = {10.1016/j.ifacol.2020.12.1653},

year  = {2020},

date = {2020-01-01},

journal = {IFAC-PapersOnLine},

volume = {53},

number = {2},

pages = {5970 \textendash 5975},

abstract = {The aim of this paper is to develop a new observer-based stabilization strategy for a class of Lipschitz uncertain systems. This new strategy improves the performances of existing methods and ensures better convergence conditions. The observer and the controller are enriched with sliding windows of measurements and estimated states, respectively. This technique allows to increase the number of decision variables and thus get less restrictive and more general LMI conditions. The established sufficient stability conditions are in the form of Bilinear Matrix Inequality (BMI). The obtained constraint is transformed, through a useful approach, to a more suitable one easily tractable by standard software algorithms. Numerical example is given to illustrate the performances of the proposed approach. Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND license},

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

keywords = {Controllers, Digital control systems, Discrete - time systems, Discrete time control systems, H ∞ criterion, Lipschitz, Lipschitz non-linearity, Observer-based, Observer-based controllers, Observer-based stabilization design, Performance, Sliding Window, Sliding window approach, Stabilization, Uncertain systems},

pubstate = {published},

tppubtype = {conference}

}

@conference{Gasmi2018771b,

title = {H∞ Observer-Based Controller for Lipschitz Nonlinear Discrete-Time Systems},

author = {Noussaiba Gasmi and Mohamed Boutayeb and Assem Thabet and Mohamed Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85053453447\&doi=10.1109%2fMED.2018.8442675\&partnerID=40\&md5=5a3255b8f67c35a8dea17ac229a35652},

doi = {10.1109/MED.2018.8442675},

year  = {2018},

date = {2018-01-01},

journal = {MED 2018 - 26th Mediterranean Conference on Control and Automation},

pages = {771 \textendash 775},

abstract = {Within the paper, a relevant H∞observer-based controller design for a class of Lipschitz nonlinear discrete-time systems is proposed. Usually, Bilinear Matrix Inequaities (BMIs) are obtained from the resolution of the observer-based stabilization design problem for this class of systems. Since, the resolution of a BMI is a hard task, then it is interesting to search for a convenient way to linearize the obtained conditions. Therefore, the objective of this paper is to present new Linear Matrix Inequality (LMI) conditions ensuring the convergence of the observer-based controller in a noisy context. Thanks to the introduction of a slack variable the presented LMI conditions are more general and less conservative than the existence ones. Indeed, reformulations of the Lipschitz property and Young's relation in a convenient way lead to a more relaxed new LMI. A numerical example is implemented to show high performances of the proposed design methodology with respect to some existing results. © 2018 IEEE.},

note = {Cited by: 0},

keywords = {Bilinear matrix, Controllers, Design Methodology, Design problems, Digital control systems, Discrete time control systems, Linear matrix inequalities, Lipschitz property, Nonlinear discrete-time systems, Observer-based, Observer-based controllers, Robustness (control systems), Slack variables},

pubstate = {published},

tppubtype = {conference}

}

@conference{Gasmi2016799b,

title = {Ob_server design fo a class of nonlinear discrete time systems},

author = {N. Gasmi and A. Thabet and M. Boutayeb and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84979691968\&doi=10.1109%2fSTA.2015.7505084\&partnerID=40\&md5=c0a9f25a510a1303bdee32a74f93b688},

doi = {10.1109/STA.2015.7505084},

year  = {2016},

date = {2016-01-01},

journal = {16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering, STA 2015},

pages = {799 \textendash 804},

abstract = {This paper focuses in the observer design for non-linear discrete time systems. The main objective is the application of the Differential Mean Value Theorem (DMVT) to transform the nonlinear dynamics error to a linear parameter varying (LPV) system. This aims to introduce a less restrictive condition on the nonlinear functions. To ensure asymptotic stability, sufficient conditions are formulated in Linear Matrix Inequalities (LMIs). For comparison, an observer based on the utilization of the One-Sided Lipschitz condition is introduced. High performances are shown through numerical simulation. © 2015 IEEE.},

note = {Cited by: 8},

keywords = {Asymptotic stability, Automation, Differential mean value theorems, Digital control systems, Discrete time control systems, Linear matrix inequalities, Linear parameter varying systems, Mathematical transformations, Nonlinear discrete-time systems, Nonlinear functions, Observer design, Observer-based, One-sided Lipschitz condition, Process control, Restrictive conditions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Hamdi2013b,

title = {Interval state observer design for fractional systems},

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

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84883066070\&doi=10.1109%2fSSD.2013.6564115\&partnerID=40\&md5=9c0127447bc3a2d3dc3a3d8a2eb194fc},

doi = {10.1109/SSD.2013.6564115},

year  = {2013},

date = {2013-01-01},

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

abstract = {This paper presents a design method for interval state observer for fractional systems in a bounded-error context. A causal observer based on prediction-correction approach is proposed. The prediction part consists on a validated solving of an Initial Value Problem (IVP) for a Fractional Differential Equation (FDE) and the correction part uses set inversion algorithm. A numerical example is presented to show the effectiveness of the proposed design method. © 2013 IEEE.},

note = {Cited by: 2},

keywords = {Bounded errors, Design, Differential equations, Fractional differential equations, Fractional systems, Initial value problems, Interval analysis, observer, Observer-based, Prediction-correction, State estimation, State observer},

pubstate = {published},

tppubtype = {conference}

}