东南大学学报（自然科学版）2013，Vol.43Issue(z1)：148-152,5.DOI:10.3969/j.issn.1001-0505.2013.S1.031
一类线性切换系统的非脆弱鲁棒H∞控制器设计
Design of non-fragile robust H∞ controllers for a class of switched linear systems
摘要
Abstract
The non-fragile robust H∞ control problem is studied for a class of switched linear systems with additional controller gain variations.First,based on the multiple Lyapunov functions method,the state space is partitioned into N(the number of subsystems) regions,and the minimum Lyapunov function is considered as the switching law.The stability of the nominal system of the linear switched system is studied,and the given stability conditions do not require that every subsystem is asymptotically stable.Then,considering the uncertainties in the system,a design scheme is presented to the non-fragile state feedback controllers and their switching laws.By the switching among the subsystems,the switched system is globally asymptotically stable with H∞-norm bound for all the admissible uncertainties.The existing conditions of controller gain matrices are given in the term of linear matrix inequalities.Finally,a simulation example is given to demonstrate the effectiveness of the proposed design procedure.关键词
多李雅普诺夫函数/H∞控制/非脆弱/状态反馈Key words
multiple Lyapunov functions/ H∞ control/ non-fragile/ state feedback分类
交通工程引用本文复制引用
王斌,翟军勇,陈夕松..一类线性切换系统的非脆弱鲁棒H∞控制器设计[J].东南大学学报（自然科学版）,2013,43(z1):148-152,5.基金项目
国家自然科学基金资助项目(61104068)、江苏省自然科学基金资助项目(BK2010200)、中央高校基本科研业务费专项资金资助项目. （61104068）
