摘要
考虑了凸多面体不确定随机时滞系统的参数依赖状态反馈控制问题.把参数相关的Lyapunov-Krasovskii泛函方法和自由权矩阵方法相结合,得到了基于线性矩阵不等式(LMI)的时滞相关及参数相关的鲁棒镇定的充分条件.由于在引入自由权矩阵时,减少了所用的自由矩阵数目,使得给出的参数依赖的控制器更易于实现.最后用例子说明了结果的有效性.
The parameter-dependent state feedback control problem for stochastic delay-varying systems with polytopic-type uncertainties is discussed.Based on parameter-dependent Lyapunov-Krasovskii functional and free-weighting matrix method,some delay-dependent and parameter-dependent stabilization conditions are presented in terms of linear matrix inequalities.Since the number of free-weighting matrices is reduced when introducing free-weighting matrices,the given parameter-dependent controller is easier to be implemented.Finally,the simulation example shows that the result is effi-cient.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2011年第2期235-241,共7页
Control Theory & Applications
基金
国家自然科学基金资助项目(60874114)
关键词
随机系统
时滞
凸多面体不确定性
鲁棒镇定
参数依赖控制器
stochastic systems
time-delay
polytopic-type uncertainties
robust stabilization
parameter-dependent controller
