不确定关联时滞大系统的分散鲁棒稳定控制器设计  

Design of the Decentralized Robust Stabilizing Controller for the Large-Scale Systems of Uncertain Interconnected Time Delay

作　　者：谢永芳[1] 李翠梅[2] 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,湖南长沙410083 [2]江西科技师范学院通信与电子学院,江西南昌330001

出　　处：《湖南大学学报（自然科学版）》2006年第3期50-53,共4页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(60474003)

摘　　要：对一类具有数值界不确定性关联时滞大系统,应用线性矩阵不等式(LMI)方法研究使其分散稳定化的鲁棒控制器设计问题.给出了其存在分散鲁棒稳定化控制器的充分条件,在此基础上,通过求解一凸优化问题,指出了具有较小反馈增益的分散稳定化状态反馈控制律的设计方法.仿真示例说明了该方法的应用.This paper studied the design of decentralized robust stabilization controller for large-scale uncertain time delay systems by means of linear matrix inequality （LMI） approach. The uncertainties are value bounded and may not satisfy the so-called matching conditions. A sufficient condition for the existence of decentralized stabilization control laws was derived. A convex optimization problem with LMI constraints was formulated to design a decentralized state feedback controller with smaller gain parameters, which enabled the closedloop system robust asymptotically stable. The given example demonstrated the application of the method.

关 键 词：分散控制 鲁棒控制 不确定性 线性矩阵不等式 时滞 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]