分散鲁棒H_∞输出反馈控制器设计  

Decentralized robust H_∞ output feedback controller

作　　者：谢永芳[1] 桂卫华[1] 蒋朝辉[1] 伍宏军[1] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083

出　　处：《华中科技大学学报（自然科学版）》2007年第2期67-70,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60474003);教育部博士学科点专项基金资助项目(20050533028)

摘　　要：针对一类状态矩阵、控制矩阵及关联矩阵存在数值界不确定性关联大系统,研究其分散鲁棒H∞输出反馈控制器设计问题.基于有界实引理将存在鲁棒分散H∞输出反馈控制器的条件归结为一组含有非线性矩阵不等式的求解问题,采用同伦思想和舒尔补引理,提出了在每一步通过固定不同参数将非线性矩阵不等式转化为线性矩阵不等式的迭代求解控制器的方法.所得控制器能使闭环关联大系统鲁棒稳定,并且满足给定的H∞性能指标.最后通过一个数值例子说明该设计方法的有效性.Robust decentralized H∞ output feedback controller for large-scale interconnected systems with value bounded uncertainties existing in the state, control input and interconnected matrices was designed. Based on the bounded real lemma a sufficient condition for the existence of a decentralized robust H∞ output feedback controller is derived. This condition is expressed as the feasibility problem of a set of matrix inequalities including a nonlinear matrix inequality （NLMI）. It is proposed to solve the NLMI iteratively by the idea of homotopy and Schur complement lemma, where some of the variables are fixed alternately at each iteration to reduce the NLMI to a linear matrix inequality （LMI）. The controller which enables the closed-loop large-scale interconnected systems robustly stable and satisfies the given H∞ performance is obtained by the offered homotopy iterative method. At last an example is given to demonstrate the effectiveness of the proposed method presented.

关 键 词：分散H∞控制 数值界不确定性 输出反馈 非线性矩阵不等式 同伦方法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]