采用同伦算法的分散输出反馈控制器设计  

Decentralized Robust H_∞ Output Feedback Controller Design Based on Homotopic Algorithm

作　　者：郑海青[1] 井元伟[1] 陈兆娜[1] 刘晓平[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2009年第8期1078-1082,共5页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(60274099);国家高技术研究发展计划项目(2004AA412030)

摘　　要：针对一类状态矩阵和输入矩阵中存在数值界不确定性的时滞关联大系统,研究其分散鲁棒输出反馈控制器设计问题.基于一个时滞依赖有界实引理,将系统鲁棒分散H∞动态输出反馈控制器的解归结为一个非线性矩阵不等式的求解问题;选取适当的同伦函数来表示该非线性矩阵不等式,采用同伦迭代算法及Schur补引理,将求解非线性矩阵不等式转化为线性矩阵不等式的迭代求解问题.所得的控制器能使闭环大系统鲁棒稳定,并满足给定的H∞性能指标.仿真算例验证了该方法的有效性.The design of decentralized H∞ output feedback controller for a class of time-delayed large-scale interconnected systems is studied, where the value bounded uncertainties are found in the state and control matrices. Based on a delay-dependent bounded real lemma, the condition under which a decentralized robust H∞ output feedback controller exists is derived and it is available to be attributed to a solution to the problem of nonlinear matrix inequality （NLMI） which can be expressed in terms of a homotopy function properly selected. Then, with the homotopic iteration method and the Schur complement lemma introduced, the solution can be converted into an iterative solution to the linear matrix inequality （LMl）. The controller thus obtained enables the closed-loop large-scale system to be robust and asymptotically stable so as to satisfy the set H∞ performance indices. Simulation result verified the effectiveness of the method proposed.

关 键 词：数值界不确定性 动态输出反馈 分散H∞控制 同伦迭代算法 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]