GUARANTEED COST CONTROL OF DISCRETE-TIME SWITCHED SATURATED SYSTEMS

被引：4
|
作者：
Sun, Haijun [1 ]
Zhang, Xinquan [1 ]
机构：
[1] Liaoning Shihua Univ, Sch Informat & Control Engn, Fushun 113001, Liaoning, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 08期
关键词：
Guaranteed cost control; saturated switched systems; upper-bound of the cost function; multiple Lyapunov functions; LMI; LINEAR-SYSTEMS; PERFORMANCE CONTROL; OUTPUT-FEEDBACK; STABILITY; STABILIZATION; SUBJECT; DESIGN; DELAY; L-2-GAIN;
D O I：
10.3934/dcdsb.2020300
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of guaranteed cost control is investigated for a class of discrete-time saturated switched systems. The purpose is to design the switched law and state feedback control law such that the closed-loop system is asymptotically stable and the upper-bound of the cost function is minimized. Based on the multiple Lyapunov functions approach, some sufficient conditions for the existence of guaranteed cost controllers are obtained. Furthermore, a convex optimization problem with linear matrix inequalities (LMI) constraints is formulated to determine the minimum upper-bound of the cost function. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.
引用
收藏
页码：4515 / 4522
页数：8
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