ROBUST STABILIZATION FOR A CLASS OF UNCERTAIN DISCRETE-TIME SWITCHED LINEAR SYSTEMS

摘要：

The problem of robust stabilization for a class of discrete-time switched linear systems with norm-bounded time-varying uncertainties is investigated. The purpose is to construct a switching rule and design a state feedback control law, such that, the closed-loop system is asymptotically stable for all admissible uncertainties under the constructed switching rule. Based on the multiple Lyapunov functions approach and matrix inequality technique, a new condition for the existence of state feedback control law and switching rule is derived. The condition can be dealt with as linear matrix inequalities (LMIs) if some scalars parameters are selected in advance. An example illustrates the effectiveness of the proposed results.

关键词： Hybrid System Switched linear system Uncertainties Robust stabilization Switching rule

作者: SONG-LIN CHEN YU YAO JIE MA

作者单位: Control and Simulation Center, Harbin Institute of Technology, Harbin 150080, China

会议类型: 国际会议

会议名称: 2008 International Conference on Machine Learning and Cybernetics(2008机器学习与控制论国际会议)

会议地点: 昆明

会议语种:英文

页码: 2352-2356

在线出版日期: 2008-07-12（万方平台首次上网日期，不代表论文的发表时间）