基于LMI的不确定组合大系统的分散鲁棒H_∞控制  

LMI-based Decentralized Robust H_∞ Controller for a Class of Linear Uncertain Composite System

作　　者：姜翀[1] 徐兆棣[1] 徐启程[1] 

机构地区：[1]沈阳师范大学数学与系统科学学院

出　　处：《哈尔滨理工大学学报》2006年第1期97-99,104,共4页Journal of Harbin University of Science and Technology

基　　金：辽宁省自然科学基金资助项目(2001101026)

摘　　要：根据有界实引理,研究不确定组合大系统的分散鲁棒H∞控制问题.应用线性矩阵不等式的方法,给出了系统可分散鲁棒镇定且具有H∞性能γ的充要条件,通过建立和求解一个凸优化问题,提出了最优H∞控制律设计方法,并用实例验证了所得结论的正确性.This paper studies decentralized robust H∞ control problem for a class of linear uncertain composite system based on bounded real lemma. Using the linear matrix inequality, the necessary and sufficient condition for decentralized robust H∞ stabilization is presented. Furthermore, the design problem of optimal H∞controller is formulated as a convex optimization problem. Finally, the effectiveness and rationality of the conclusion is proved by a practical example.

关 键 词：组合系统 不确定性 线性矩阵不等式 有界实引理 分散控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]