Robust dissipative observer-based control design for discrete-time switched systems with time-varying delay

被引:13
|
作者
Regaieg, Mohamed Amin [1 ,2 ]
Kchaou, Mourad [2 ,3 ]
Bosche, Jerome [1 ]
El-Hajjaji, Ahmed [1 ]
Chaabane, Mohamed [2 ]
机构
[1] Univ Picardie Jules Verne, Modeling Informat & Syst Lab, UFR Sci, 33 Rue St Leu, F-80000 Amiens, France
[2] Univ Sfax, Natl Sch Engn Sfax, Lab STA, LR11ES50, Sfax 3038, Tunisia
[3] Univ Hail, Dept Elect, Coll Engn, POB 2440, Hail, Saudi Arabia
来源
IET CONTROL THEORY AND APPLICATIONS | 2019年 / 13卷 / 18期
关键词
closed loop systems; robust control; discrete time systems; uncertain systems; nonlinear control systems; asymptotic stability; control system synthesis; feedback; observers; Lyapunov methods; linear matrix inequalities; delays; switching systems (control); time-varying delay; unmeasurable states; observer-based controller; switching rule; strict dissipativity; improved reciprocally convex combination approach; design technique; robust dissipative observer-based control design; discrete-time switched systems; closed-loop switched systems; augmented switched Lyapunov-Krasovskii functional; (Q; S; R) gamma-dissipative output feedback control design; OUTPUT-FEEDBACK STABILIZATION; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILITY ANALYSIS; NONLINEAR-SYSTEMS; SINGULAR SYSTEMS;
D O I
10.1049/iet-cta.2018.5822
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 study deals with (Q, S, R)gamma-dissipative output feedback control design for a class of switched systems with time-varying delay and unmeasurable states. The purpose is to design an observer-based controller and a switching rule to ensure both exponential stability and strict dissipativity of the resulting closed-loop switched systems. Using an augmented switched Lyapunov-Krasovskii functional with triple sum and the improved reciprocally convex combination approach, new sufficient conditions are developed in terms of linear matrix inequalities. Simulation examples are included to demonstrate the validity and effectiveness of the proposed design technique.
引用
收藏
页码:3026 / 3039
页数:14
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