Stabilization and performance analysis for a class of switched systems

被引：61
作者：
Fang, L [1 ]
Lin, H [1 ]
Antsaklis, PJ [1 ]
机构：
[1] Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
来源：
2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5 | 2004年
关键词：
D O I：
10.1109/CDC.2004.1428980
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 investigates stability and control design problems with performance analysis for discrete-time switched linear systems. The switched Lyapunov function method is combined with Finsler's Lemma to generate various tests in the enlarged space containing both the state and its time difference, allowing extra degree of freedom for stability analysis and control design. Two performance measures being considered are the decay rate and the input-output performance. A new LMI based stability test for the existence of switched Lyapunov functions is first developed. If a switched Lyapunov function exists, asymptotic stability of the switched system also implies its exponential stability. An LMI optimization problem is then formulated to find a bound on the decay rate of the system. To attain the bound, state feedback control gains are designed. Using the same framework and the well-known S-procedure, a generalized sufficient LMI condition is obtained which guarantees a gamma-performance of the closed-loop switehed systems subject to input disturbances.
引用
收藏
页码：3265 / 3270
页数：6
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