采用还原方法的不确定关联时滞系统的鲁棒分散镇定  

Robust decentralized stabilization for uncertain interconnected delayed systems using reduction method

作　　者：刘晓志[1] 井元伟[1] 张嗣瀛[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：《控制与决策》2004年第11期1218-1222,共5页Control and Decision

基　　金：国家自然科学基金资助项目(60274009).

摘　　要：针对一类具有多输入时滞项及互联时滞项的不确定关联系统,提出了系统可鲁棒分散镇定的充分条件,即一组线性矩阵不等式(LMI)有解.系统的不确定性是未知时变且范数有界的,基于还原方法及LMI技术给出系统设计状态反馈分散控制器的方法.该控制器保证闭环系统全局渐近稳定,且设计简单,计算量小,易于工程实现.最后通过仿真例子说明了该方法的有效性.The problem of the robust stabilization for a class of uncertain interconnected systems with time delays in the input and interconnection is investigated. The uncertainties are time-varying and norm bounded. Based on the reduction method, a decentralized feedback controller is proposed such that the closed loop system is global asymptotically stable, and a sufficient condition for the stability is derived in terms of a linear matrix inequality (LMI). The design approach is simple. Simulation example shows the effectiveness of the proposed method.

关 键 词：不确定关联时滞系统 鲁棒分散镇定 还原方法 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]