TY - GEN
T1 - Robust static output feedback stabilization of continuous-time linear systems via enhanced LMI conditions
AU - Gritli, Hassène
AU - Zemouche, Ali
AU - Belghith, Safya
AU - Laleg-Kirati, Taous-Meriem
N1 - KAUST Repository Item: Exported on 2021-12-14
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/669310
UR - https://linkinghub.elsevier.com/retrieve/pii/S2405896320307680
UR - http://www.scopus.com/inward/record.url?scp=85105074771&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2020.12.474
DO - 10.1016/j.ifacol.2020.12.474
M3 - Conference contribution
SP - 4540
EP - 4545
BT - IFAC-PapersOnLine
PB - Elsevier BV
ER -