Robust static output feedback stabilization of continuous-time linear systems via enhanced LMI conditions

Hassène Gritli, Ali Zemouche, Safya Belghith, Taous-Meriem Laleg-Kirati

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper addresses the problem of Static Output Feedback (SOF) stabilization for continuous-time linear systems subject to norm-bounded parameter uncertainties. Usually this issue leads to the feasibility of a Bilinear Matrix Inequality (BMI), which is difficult to linearize to get non conservative Linear matrix inequality (LMI) conditions. In this paper, by means of some technical lemmas, we transform the BMI into a new LMI with a line search over two scalar variables. The obtained LMI conditions are less conservative than those existing in the literature. Numerical evaluations are presented to show the superiority of the proposed method.
Original languageEnglish (US)
Title of host publicationIFAC-PapersOnLine
PublisherElsevier BV
Pages4540-4545
Number of pages6
DOIs
StatePublished - 2020

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