Publications

@conference{Gasmi2018771,

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

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

isbn = {9781538678909},

year  = {2018},

date = {2018-01-01},

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

pages = {771-775},

publisher = {Institute of Electrical and Electronics Engineers Inc.},

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

pubstate = {published},

tppubtype = {conference}

}