Robust Observer-Based H∞ Stabilization of Switched Discrete-Time Linear Systems with Parameter Uncertainties

被引：0
|
作者：
Bibi, H. [1 ]
Zemouche, A. [2 ,3 ]
Aitouche, A. [4 ]
Chaib-Draa, K. [2 ]
Bedouhene, F. [1 ]
机构：
[1] Univ Mouloud Mammeri, Lab Math Pures & Appliquees, BP 17 RP, Tizi Ouzou 15000, Algeria
[2] Univ Lorraine, CRAN, CNRS, UMR 7039, 186 Rue Lorraine, F-54400 Cosnes Et Romain, France
[3] Centrale Supelec, CNRS, Lab Signaux & Syst, EPI Inria DISCO, F-91192 Gif Sur Yvette, France
[4] HEI Sch, CRIStAL Lab, Lille, France
来源：
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2017年
关键词：
Observer-based control; Linear matrix Inequalities (LMIs); Switched Lyapunov Functions (SLF); Finsler's lemma; QUADRATIC BOUNDEDNESS; OUTPUT-FEEDBACK; LMI CONDITIONS; STABILITY; DESIGN; STABILIZABILITY;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents a robust observer-based H-infinity controller design method via LMIs for a class of switched discrete-time linear systems with l(2)-bounded disturbances and parameter uncertainties. The main contribution of this paper consists in a new and judicious use of the slack variables coming from Finsler's lemma. We show analytically how the proposed slack variables allow to eliminate some bilinear matrix coupling. The effectiveness of the proposed design methodology is shown through a numerical example.
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页数：6
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