具有输入时滞的时滞关联不确定系统的鲁棒分散控制  

Robust Decentralized Stabilization For Uncertain Time-delay Interconnected Systems with Input Delay

作　　者：王岩青[1] 庞秀梅[1] 姜长生[2] 

机构地区：[1]解放军理工大学理学院,江苏南京211101 [2]南京航空航天大学自动化学院,江苏南京210016

出　　处：《数学的实践与认识》2009年第18期155-162,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(90405011)

摘　　要：研究了一类同时具有输入时滞以及不确定参数的时滞关联大系统的稳定性问题.基于所谓的还原法,给出一种新的状态反馈控制器的设计方法,这种方法的不同之处在于利用了时延的大小以及反馈控制的历史信息.根据Lyapunov稳定性理论得到了系统在控制器作用下稳定的充分条件,所有条件都化成可解的标准LMIs(Linear matrix inequalities)形式.文章最后给出了一个数值例子说明本文结果的可行性.This paper deals with a class of time-delay interconnected systems with input delay and parametric uncertainties. The stability of this class of systems is considered. Using the socalled reduction method, all subsystems are transferred. Then, a feedback controller design technique for decentralized stabilization is provided. Unlike existing results, the controller utilizes the information on the delay and employs the feedback of the past control history as well as the current state; thus, the performance is improved and conservativeness is reduced significantly. With Lyapunov＇s direct method, a sufficient condition for the stability is derived in terms of linear matrix inequalities （LMIs）. Hence, all results can be solved efficiently. Finally, a numerical example is provided to illustrate the proposed method.

关 键 词：关联系统 时滞系统 不确定 鲁棒控制 线性矩阵不等式(LMIs) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]