数值界不确定性关联大系统分散鲁棒H_∞输出反馈控制  

Decentralized Robust H_∞ Output Feedback Controller Design for Value Bounded Uncertain Large-scale Interconnected Systems

作　　者：谢永芳[1] 桂卫华[1] 蒋朝辉[1] 

机构地区：[1]中南大学信息科学与工程学院,长沙410083

出　　处：《控制与决策》2006年第7期809-813,共5页Control and Decision

基　　金：国家自然科学基金项目(60474003);教育部博士点基金项目(20050533028)

摘　　要：研究一类状态矩阵、控制矩阵及关联矩阵中存在数值界不确定性关联大系统的分散鲁棒H∞输出反馈控制器设计方法.基于有界实引理,将控制器的存在条件归结为一个非线性矩阵不等式,采用同伦迭代方法求解控制器,使闭环大系统鲁棒稳定,并且满足给定的H∞性能指标.最后通过仿真验证了该方法的有效性.For large-scale interconnected systems with value bounded uncertainties existing in the state, control and interconnected matrices, a robust decentralized H∞ output feedback controller is designed. Based on the bounded real lemma a sufficient condition for the existence of the decentralized robust H∞ output feedback controller is derived. This condition is expressed as the solvability of a certain nonlinear matrix inequality （NLMI）. The controller which enables the closed-loop large-scale systems robust stable and satisfies the given H∞ performance is obtained by a homotopy iterative method. A numerical example is given to demonstrate the effectiveness of the method.

关 键 词：数值界不确定性 分散H∞控制 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]