Time-varying H∞ Control for Discrete-time Switched Systems with Admissible Edge-dependent Average Dwell Time

被引：23
|
作者：
Wang, Rui-Hua [1 ,2 ]
Xue, Bing-Xin [1 ]
Zhao, Jing-Bo [1 ]
机构：
[1] Qingdao Univ Technol, Sch Informat & Control Engn, Qingdao 266520, Shandong, Peoples R China
[2] Southeast Univ, Minist Educ, Key Lab Measurement & Control Complex Syst Engn, Nanjing 210096, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2019年 / 17卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Admissible edge-dependent average dwell time; discrete-time switched systems; H-infinity state feedback control; multiple piecewise convex Lyapunov function; SLIDING-MODE CONTROL; LINEAR-SYSTEMS; STOCHASTIC-SYSTEMS; LYAPUNOV FUNCTION; STABILITY; STABILIZATION; DESIGN;
D O I：
10.1007/s12555-018-0721-6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of H-infinity control for discrete-time switched systems is investigated via admissible edge-dependent average dwell time (AED-ADT) method in this paper. By virtue of a convex combination of positive definite matrices, a novel multiple piecewise convex Lyapunov function (MPCLF) is designed, which can relax the restricted conditions of Lyapunov functions at switching points and interval interior points. Based on the MPCLF approach, the time-varying H-infinity state feedback controllers, guaranteeing that the corresponding closed-loop system is globally uniformly exponentially stable (GUES) with a prescribed H-infinity performance, are established for the considered switched system. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed approaches.
引用
收藏
页码：1921 / 1934
页数：14
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