Periodic Stabilization of Discrete-Time Switched Linear Systems

被引：8

作者：

Lee, Donghwan ^{[1
]}

Hu, Jianghai ^{[1
]}

机构：

[1] Purdue Univ, Dept Elect & Comp Engn, W Lafayette, IN 47906 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 07期

基金：

美国国家科学基金会;

关键词：

Switched linear system (SLS); hybrid system; stabilization; Lyapunov function; dynamic programming; QUADRATIC LYAPUNOV FUNCTIONS; STATIC OUTPUT-FEEDBACK; STABILITY ANALYSIS; PERFORMANCE ANALYSIS; ROBUST STABILITY; HYBRID SYSTEMS; RELAXATIONS; COMPUTATION; DESIGN; LMIS;

D O I：

10.1109/TAC.2017.2651173

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 goal of this paper is to study the exponential stabilization problem for autonomous discrete-time switched linear systems (SLSs), where only the discrete mode can be controlled. Our approach is based on periodic control Lyapunov functions whose value decreases periodically instead of at each time step as in the classical control Lyapunov functions. Using periodic control Lyapunov functions, we develop stabilizability analysis and controller synthesis conditions that are less conservative than existing results in that they apply to a larger class of SLSs. Utilizing recent results on the switched optimal control problems, a constructive way to find periodic control Lyapunov functions is presented.

引用

页码：3382 / 3394

页数：13

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