不确定随机时滞系统的鲁棒H∞保性能控制  

Robust H_∞ Guaranteed Cost Control for Uncertain Stochastic Delayed Systems

作　　者：陈云[1] 薛安克[2] 鲁仁全[2] 

机构地区：[1]杭州电子科技大学运筹与控制研究所 [2]杭州电子科技大学信息与控制研究所,杭州310018

出　　处：《自动化学报》2008年第8期900-906,共7页Acta Automatica Sinica

基　　金：国家自然科学基金(60434020，60604003)资助~~

摘　　要：讨论了一类具有时变时滞的不确定It类型随机系统的鲁棒H_∞保性能控制问题.运用Lyapunov-Krasovskii泛函方法,设计使得闭环系统鲁棒随机指数均方稳定,且具有给定H_∞干扰抑制度γ的状态反馈保性能控制器,控制器存在的充分条件以线性矩阵不等式(LMIs)的形式表示.进一步,通过求解具有LMIs约束的凸优化问题,给出了不确定随机时滞系统的最优保性能控制器的设计方法.最后通过一个数值例子验证了所提方法的有效性.This paper considers the issue of robust H∞ guaranteed cost control for a class of uncertain ItS-type stochastic systems with time-varying delays. State-feedback guaranteed cost controllers are presented based on Lyapunov-Krasovskii functional approach. For all admissible uncertainties, the designed controllers ensure that the closed-loop systems are robustly stochastically exponentially stable in a mean-square sense with a prescribed H∞ disturbance attenuation level γ. Sufficient conditions for the existences of desired controllers are formulated in terms of linear matrix inequalities （LMIs）. The design problems of the optimal guaranteed cost controllers for the uncertain stochastic time-delay systems are cast into convex optimization problems with LMIs constraints. A numerical example is provided to demonstrate the effectiveness of the proposed method.

关 键 词：Ito类型随机时滞系统 鲁棒H∞控制 保性能控制 指数稳定性 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]