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}

}