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

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.

Citation
Gritli, H., Zemouche, A., Belghith, S., & Laleg-Kirati, T.-M. (2020). Robust Static Output Feedback Stabilization of Continuous-Time Linear Systems via Enhanced LMI Conditions. IFAC-PapersOnLine, 53(2), 4540–4545. doi:10.1016/j.ifacol.2020.12.474

Publisher
Elsevier BV

Conference/Event Name
21st IFAC World Congress 2020

DOI
10.1016/j.ifacol.2020.12.474

Additional Links
https://linkinghub.elsevier.com/retrieve/pii/S2405896320307680

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