Publications

@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{BelHajFrej20171154b,

title = {Decentralized observer-based control for interconnected nonlinear discrete-time systems},

author = {G. Bel Haj Frej and M. Boutayeb and A. Thabet and M. Aoun and M. Zasadzinski},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85028518480\&doi=10.1109%2fMED.2017.7984273\&partnerID=40\&md5=30ea4696cc75cf9570d5bb50cfbd1525},

doi = {10.1109/MED.2017.7984273},

year  = {2017},

date = {2017-01-01},

journal = {2017 25th Mediterranean Conference on Control and Automation, MED 2017},

pages = {1154 \textendash 1158},

abstract = {This study concerns the decentralized observer-based control for discrete time nonlinear interconnected system. The nonlinear interconnection between subsystem is uncertain and the only information about these uncertainties is that satisfy quadratic constraints. Sufficient conditions ensuring the synthesis of observer based feedback controller are established. The quadratic constraint is reformulated using the differential mean value theorem and the Lyapunov's direct method stability analysis. The design approach arises from the solution of linear matrix inequalitie (LMI). Simulation results are exploited to show the feasibility and the high performances of the proposed method. © 2017 IEEE.},

note = {Cited by: 0},

keywords = {Differential mean value theorems, Digital control systems, Discrete time control systems, Linear matrix inequalitie, Lyapunov's direct method, Nonlinear discrete-time systems, Nonlinear interconnected systems, Nonlinear interconnections, Observer based control, Quadratic constraint},

pubstate = {published},

tppubtype = {conference}

}

@conference{BelHajFrej20171154c,

title = {Decentralized observer-based control for interconnected nonlinear discrete-time systems},

author = {G. Bel Haj Frej and M. Boutayeb and A. Thabet and M. Aoun and M. Zasadzinski},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85028518480\&doi=10.1109%2fMED.2017.7984273\&partnerID=40\&md5=30ea4696cc75cf9570d5bb50cfbd1525},

doi = {10.1109/MED.2017.7984273},

year  = {2017},

date = {2017-01-01},

journal = {2017 25th Mediterranean Conference on Control and Automation, MED 2017},

pages = {1154 \textendash 1158},

abstract = {This study concerns the decentralized observer-based control for discrete time nonlinear interconnected system. The nonlinear interconnection between subsystem is uncertain and the only information about these uncertainties is that satisfy quadratic constraints. Sufficient conditions ensuring the synthesis of observer based feedback controller are established. The quadratic constraint is reformulated using the differential mean value theorem and the Lyapunov's direct method stability analysis. The design approach arises from the solution of linear matrix inequalitie (LMI). Simulation results are exploited to show the feasibility and the high performances of the proposed method. © 2017 IEEE.},

note = {Cited by: 0},

keywords = {Differential mean value theorems, Digital control systems, Discrete time control systems, Linear matrix inequalitie, Lyapunov's direct method, Nonlinear discrete-time systems, Nonlinear interconnected systems, Nonlinear interconnections, Observer based control, Quadratic constraint},

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{Gasmi2016364b,

title = {Observers for nonlinear lipschitz discrete time systems with extension to H∞ filtering design},

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

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84974531658\&doi=10.1109%2fSSD.2016.7473668\&partnerID=40\&md5=91521b9692990aa623a3f13cd7b326ad},

doi = {10.1109/SSD.2016.7473668},

year  = {2016},

date = {2016-01-01},

journal = {13th International Multi-Conference on Systems, Signals and Devices, SSD 2016},

pages = {364 \textendash 369},

abstract = {This note focuses on state observer design for a general class of nonlinear discrete-time systems. The main contribution lies in the use of the differential mean value theorem (DMVT) to transform the nonlinear error dynamics into a linear parameter varying (LPV) system. This has the advantage of introducing a general condition on the non linear functions. An extension to H∞ filtering design is obtained for systems with linear and nonlinear outputs. LMI conditions are presented to ensure asymptotic convergence. Then performances and accuracy of the results are illustrated through simulation examples. © 2016 IEEE.},

note = {Cited by: 1},

keywords = {Asymptotic convergence, Differential mean value theorems, Digital control systems, Discrete - time systems, Discrete time control systems, Functions, Linear parameter varying systems, Mathematical transformations, Non-linear error, Nonlinear discrete-time systems, Nonlinear functions, Simulation example},

pubstate = {published},

tppubtype = {conference}

}