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应用科学学报 ›› 2004, Vol. 22 ›› Issue (4): 545-548.

• 论文 • 上一篇    下一篇

一类不确定离散时滞系统的保成本H∞控制

梁正   

  1. 钱江水利开发股份有限公司 浙江杭州 310013
  • 收稿日期:2003-07-21 修回日期:2004-01-14 出版日期:2004-12-31 发布日期:2004-12-31
  • 作者简介:梁正(1960-),男,江苏南京人,工程师.

Guaranteed Cost H∞ Control for a Class of Uncertain Discrete Time-Delay Systems

LIANG Zheng   

  1. Qianjiang Water Resources Development Co., Ltd, Hangzhou 310013, China
  • Received:2003-07-21 Revised:2004-01-14 Online:2004-12-31 Published:2004-12-31

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摘要： 研究了一类不确定离散时滞系统鲁棒渐近稳定下的保成本与H∞扰动衰减问题.基于Lyapunov稳定性理论和线性矩阵不等式(LMI)方法,得到了保成本H∞状态反馈控制器存在的一个充分条件.通过求解一个特定的线性矩阵不等式,即可得到镇定已知系统的保成本H∞控制律,并用算例验证了该设计方法的有效性.

关键词: 不确定性, 离散时滞系统, 保成本控制, H∞控制, 线性矩阵不等式

Abstract: This paper deals with the problem of guaranteed cost and H∞ disturbance attenuation during the robust asymptotic stabilization period of a class of uncertain discrete time-delay systems. Based on Lyapunov stability theory and the linear matrix inequalities (LMI) approach, a sufficient condition is presented for the existence of guaranteed cost H∞ state feedback controllers. By solving a certain linear matrix inequality, the guaranteed cost H∞ control laws are obtained. A numeric example is given to demonstrate the effectiveness and superiority of the designing method.

Key words: linear matrix inequalities, uncertainty, discrete time-delay systems, guaranteed cost control, H∞ control

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