数值界不确定性关联大系统分散鲁棒H_∞控制  

Decentralized robust H-infinity control for value-bounded uncertain large-scale interconnected systems

作　　者：谢永芳[1] 蒋朝辉[1] 桂卫华[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：《控制理论与应用》2006年第3期329-335,共7页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60474003);博士点基金资助项目(20050533028)

摘　　要：针对一类状态阵,控制输入阵及关联阵中存在数值界不确定性的关联大系统,研究其分散鲁棒H∞状态反馈和输出反馈控制器设计问题.基于有界实引理,推导出了其存在分散鲁棒H∞控制器的充分条件,即一组矩阵不等式有解.利用Schur补引理,通过固定不同变量,提出了一种构建分散控制器的同伦迭代线性矩阵不等式方法.所获得的控制器使闭环大系统鲁棒稳定,并且达到给定的H∞性能指标.最后用数值例子说明了所提的设计方法的有效性.For a class of large-scale interconnected systems with value-bounded uncertainties existing in the state, control input and interconnected matrices, the design of decentralized robust H-infinity state feedback and decentralized robust H-infinity output feedback controllers is investigated in this paper. Based on the bounded-real lemma, sufficient conditions for the existence of a decentralized robust H-infinity controller are obtained in terms of a set of matrix inequalities. According to Schur complement, a homotopy iterative linear matrix inequality method is then put forward to construct a decentralized robust H-infinity controller by fixing different variables. The controller obtained enables the closed-loop large-scale systems to be robustly stable and to achieve the given H-infinity performance. Finally, a numerical example is given which illustrates the effectiveness of the proposed method.

关 键 词：数值界不确定性 分散控制 鲁棒H∞控制 矩阵不等式 同伦迭代方法 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]