多胞型不确定性随机时滞系统鲁棒H_∞控制  

Robust H_∞ Control for Stochastic Time-delay Systems with Polytopic-type Uncertainties

作　　者：盛梅[1] 王为群[1] 邹云[2] 

机构地区：[1]南京理工大学应用数学系,江苏南京210094 [2]南京理工大学自动化系,江苏南京210094

出　　处：《信息与控制》2006年第4期532-536,540,共6页Information and Control

基　　金：国家自然科学基金资助项目(60474078;60304001;60574015);南京理工大学科研启动基金资助项目(XSL20051024)

摘　　要：考虑凸多胞型不确定性的随机时滞系统的鲁棒H∞控制问题,分别运用参数化和非参数化的李亚普诺夫函数,给出解决问题的充分条件.通过求解一组线性矩阵不等式(LM I),设计所需状态反馈控制器,所得到的闭环系统均方渐近稳定,且满足所需要的H∞性能指标,其中参数化的李亚普诺夫函数具有更小的保守性.通过算例验证了方法的有效性.This paper considers the problem of robust H∞ control for stochastic time-delay systems with convex polytopic uncertainties. Sufficient conditions for solving the problem are obtained by using parameter-independent and parameter-dependent Lyapunov functions respectively. The purpose is to design a state feedback controller so that, for all the admissible uncertainties, the resulting closed-loop system is mean-square asymptotically stable and satisfies a prescribed H∞ performance level. It is shown that the result derived by a parameter-dependent Lyapunov function is less conservative. A desired state feedback controller can be designed by solving a set of linear matrix inequalities （LMIs）.

关 键 词：线性矩阵不等式 多胞型不确定性 随机系统 H∞控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]