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带有时滞的离散不确定系统的鲁棒稳定性
引用本文:郭炜伟,;王汝凉,;黎艳萍,;李晓霞.带有时滞的离散不确定系统的鲁棒稳定性[J].广西师院学报,2008(4):35-38.
作者姓名:郭炜伟  ;王汝凉  ;黎艳萍  ;李晓霞
作者单位:[1]广西师范学院数学与计算机科学系,广西南宁530023; [2]广西师范学院信息技术系,广西南宁530023
基金项目:国家自然科学基金(60864001);广西自然科学基金(0640073,0679021,0679024)
摘    要:考虑了带有时滞的离散不确定系统的鲁棒D-稳定化问题,利用矩阵范数理论给出了系统稳定的充分条件,进而推广了该文的结果.对两类给定结构的控制器,得到了相应的不确定的离散闭环系统的鲁棒D-稳定的充分条件.基于这些条件,给出了相应的鲁棒D-稳定化控制器的设计方法,并举例说明了提出的方法的有效性.

关 键 词:时滞  强结构不确定  鲁棒D-稳定

Robust Stabilization of Discrete - time Uncertain System with Delay
Institution:GUO Wei-wei, WANG Ru-liang, LI Yan-ping, LI Xiao-xia (a. Department of Mathematics and Computer Science; b. Department of Information Technology, Guangxi Teachers Education University, Nanning 530023, China)
Abstract:The problem of robust D - stabilization for uncertain discrete - time system with delay is considered. The sufficient condition of stability is obtained, making use of the norm theory. These condi- tions obtained in this paper is extended, For two classes of controllers with given structure, the sufficient conditions for robust D - stabilization of uncertain discrete timedelay systems are derived. Based on these conditions, the design procedures of robust D - stabilizing controllers are developed. A numerial example is given to illustrate the applicability of the methods.
Keywords:time - delay  highly structured uncertainty  robust D - stablity
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