摘要
研究了控制器故障下具有非线性干扰的多时变时滞不确定系统的鲁棒指数稳定性问题.利用不确定多时变时滞切换系统模型描述了所考虑的系统.提出了基于平均驻留时间的切换方法.在此方法下,以线性矩阵不等式(LMIs)形式得到了切换系统鲁棒指数稳定的充分条件,并从理论上证明了即使控制器失效所生成的闭环系统也是鲁棒指数稳定的.最后通过仿真算例验证了所提方法的有效性.
The issue of robustly exponential stability for a class of uncertain multiple time-varying delay systems with controller failures and nonlinear perturbations is considered.A switched uncertain multi-delay system model is utilized to describe the considered systems.A switching approach based on the average dwell time is employed for the switched system.A delay-dependent sufficient condition for robustly exponential stability of the switched system is established in terms of linear matrix inequalities by using the switching method.It is proved theoretically that the resulting closed-loop system is robustly exponentially stable even if controller failures are encountered.The effectiveness of the proposed method is also demonstrated by simulation example.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
2010年第5期794-800,共7页
Journal of Dalian University of Technology
基金
National Grand Fundamental Research 973Program of China(Grant No.2007CB714006)
College Research Project of Liaoning Province in China(Grant No.L2010522)~~
关键词
鲁棒指数稳定性
控制器失效
平均驻留时间
切换系统
LMIS
多时变时滞
robustly exponential stability
controller failures
average dwell time
switched systems
linear matrix inequalities（LMIs）
multiple time-varying delays
作者简介
作者简介：王丽敏（1976-），女，讲师，E—mail：wanglimin0817@163．corn；
邵诚（1957-），男，教授，博士生导师．
