华东师范大学学报(自然科学版) ›› 2005, Vol. 2005 ›› Issue (5/6): 97-102.

• 数学 统计学 • 上一篇    下一篇

一类不确定离散时滞系统的鲁棒状态反馈控制

汤红吉1,2, 张小美1,2, 陈树中1   

  1. 1. 华东师范大学 计算机科学技术系, 上海 200062; 2. 南通大学 理学院, 南通 226007
  • 收稿日期:2004-05-24 修回日期:2004-11-15 出版日期:2005-12-31 发布日期:2005-12-31
  • 通讯作者: 汤红吉

Robust State Feedback Control for Discrete-time Systems with Input and State Delays(Chinese)

TANG Hong-ji 1,2,ZHANG Xiao-mei 1,2, CHEN Shu-zhong1   

  1. 1. Department of Computer Science, East China Normal University, Shanghai 200062, China; 2. School of Science, Nantong University, Nantong 226007, China
  • Received:2004-05-24 Revised:2004-11-15 Online:2005-12-31 Published:2005-12-31
  • Contact: TANG Hong-ji

摘要： 讨论了一类同时具有状态时滞和输入时滞的离散系统的鲁棒控制问题. 利用Lyapunov稳定性理论, 结合线性矩阵不等式方法,得出该时滞系统稳定的充分条件, 且该条件是时滞相关的. 并设计出系统的反馈控制器, 所得结果基于相应的线性矩阵不等式的解.最后举例说明该方法的有效性.

关键词: 输入时滞, 离散系统, 时滞相关, 线性矩阵不等式, 输入时滞, 离散系统, 时滞相关, 线性矩阵不等式

Abstract: The problem of the robust state feedback control for a class of discrete time systems with state and input delays is studied. Based on Lyapunov stability theory and linear matrix inequality approach, a delay-dependent sufficient condition for the stability of the system is given.A controller satisfying the requirement of design can be obtained by solving a linear matrix inequality(LMI). A numerical example is given to illustrate the effectiveness of the method.

Key words: discrete systems, delay-dependent, LMI , delay, discrete systems, delay-dependent, LMI

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