状态多重时滞大系统时滞相关分散鲁棒镇定  

Delay-dependent Decentralized Robust Stability of Large-scale Systems with Multiple State Delays

作　　者：邓燕妮[1,2] 桂卫华[1] 谢永芳[1] 阳春华[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 [2]武汉理工大学自动化学院,武汉430070

出　　处：《武汉理工大学学报》2008年第12期103-106,共4页Journal of Wuhan University of Technology

基　　金：国家自然科学重点基金(60634020);湖南省自然科学基金(06JJ50145)

摘　　要：考虑状态多重时滞大系统的稳定性问题,依赖系统最大时滞界,给出了其可分散状态反馈镇定的时滞相关鲁棒稳定的充分条件。应用Lyapunov-Krasovsii泛函和LMI方法及积分不等式方法,研究其分散鲁棒稳定化的鲁棒控制器设计问题,在此基础上,通过求解一凸优化问题,提出了具有较小反馈增益的分散稳定化状态反馈控制器的设计方法。通过仿真验证了该方法的有效性。The stability of large-scale systems with multiple state delays is considered. A time-dependent robust stability sufficient condition for the decentralized state feedback stabilization was derived, which are dependent on maximum delay bounds of the systems. By using Lyapunov-Krasovsii functional and linear matrix inequality （LMI） approach and integral inequality approach. A convex optimization problem with LMI constraints was formulated to design a decentralized state feedback controller with smaller gain parameters, which enabled the closed-loop system robust asymptotically stably. A numerical example is given to demonstrate the effectiveness of the method.

关 键 词：状态多重时滞 分散鲁棒控制 时滞相关 积分不等式 状态反馈 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]