凸多面体不确定随机时滞系统的参数依赖状态反馈控制  

Parameter-dependent state feedback control for stochastic delay-varying systems with polytopic-type uncertainties

作　　者：高文华[1] 邓飞其[2] 

机构地区：[1]华南理工大学理学院数学系,广东广州510640 [2]华南理工大学自动化科学与工程学院,广东广州510640

出　　处：《控制理论与应用》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)

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.

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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]