时滞不确定随机系统基于参数依赖Lyapunov函数的稳定条件

被引:14
作者
吴立刚
王常虹
高会军
曾庆双
机构
[1] 哈尔滨工业大学空间控制与惯性技术研究中心
关键词
参数依赖Lyapunov函数; 时滞相关:随机系统; 凸多面体不确定性; 线性矩阵不等式;
D O I
暂无
中图分类号
TP13 [自动控制理论];
学科分类号
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要
针对一类具有凸多面体参数不确定性的时滞随机系统,研究了其鲁棒稳定性问题.通过引入适当的加权矩阵变量来寻找Leibniz-Newton公式各项之间的关系,从而直接地处理系统中的时滞状态项,避免了常规的应用Leibniz-Newton公式来进行模型变换的间接方法所带来的较大保守性.采用参数依赖Lyapunov函数方法,推导了此类系统鲁棒稳定的时滞相关的充分条件.本文所得条件为线性矩阵不等式形式,便于借助于内点算法进行求解.仿真实例证明了本文所提出的稳定条件具有较低的保守性.
引用
收藏
页码:607 / 612
页数:6
相关论文
共 12 条
[1]  
Parameter dependent stability and stabi- lization of uncertain time-delay system. FRIDMAN E,SHAKED U. IEEE Transactions on Automatic Control . 2003
[2]  
Output feedback control for uncertain stochastic systems with time-varying delays. XU S,CHEN T. Automatica . 2004
[3]  
Robust integral sliding mode control for uncertain stochastic systems with time-varying delay. Yugang Niu,Daniel W C Ho,James Lam. Automatica . 2005
[4]  
Robust H_∞ control for uncertain stochastic systems with state delay. S. Xu,T. Chen. IEEE Transactions on Automatic Control . 2002
[5]  
Parameter-dependent Lyapunov functional for stabil-ity of time-delay systems with polytopic-type uncertainties. He Y,Wu M,She J H,et al. IEEE Transactions on Automatic Control . 2004
[6]  
An LMI based approach for robust stabilization of uncertain stochastic systems with time varying delays. LU C Y,TSAI J S H,JONG G J,et al. IEEE Transactions on Automatic Control . 2003
[7]  
Robust control of state delayed systems with polytopic type uncertainties via parameter-dependent Lyapunov functionals. Y.Xia,,Y.Jia. Systems and Control Letters . 2003
[8]  
Delay dependent robust stability and stabilization of uncertain linear delay systems. Li X and Souza C E de. IEEE Transactions on Automatic Control . 1997
[9]  
Stabilization of a class of uncertain large-scale stochasticsystems withtime delays. Xie S,Xie L. Automatica . 2000
[10]  
Delay-dependent ro- bust stabilization of uncertain state-delayed systems. MOON Y S,PARK P,KWON W H,et al. International Journal of Control . 2001