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广义时滞系统时滞依赖H∞控制的改进结果

吴争光 苏宏业 褚健

自动化学报2009,Vol.35Issue(8):1101-1106,6.
自动化学报2009,Vol.35Issue(8):1101-1106,6.DOI:10.3724/SP.J.1004.2009.01101

广义时滞系统时滞依赖H∞控制的改进结果

Improved Results on Delay-dependent H∞ Control for Singular Time-delay Systems

吴争光 1苏宏业 1褚健1

作者信息

  • 1. National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, P.R. China
  • 折叠

摘要

Abstract

The problem of delay-dependent H∞ control for singular systems with state delay is discussed. In terms of linear matrix inequality (LMI) approach, a delay-dependent bounded real lemma (BRL) is presented to ensure the system to be regular,impulse free, and stable with H∞ performance condition via an augmented Lyapunov functional. Based on the BRL obtained, the delay-dependent condition for the existence of H∞ state feedback controller is presented via strict LMI. An explicit expression for the desired state feedback controller is also given. Numerical examples are presented to illustrate the significant improvement on the conservativeness of some reported results in the literature.

关键词

Singular systems/time-delay systems/delay-dependent/H∞ control/linear matrix inequality (LMI)

Key words

Singular systems/time-delay systems/delay-dependent/H∞ control/linear matrix inequality (LMI)

分类

信息技术与安全科学

引用本文复制引用

吴争光,苏宏业,褚健..广义时滞系统时滞依赖H∞控制的改进结果[J].自动化学报,2009,35(8):1101-1106,6.

基金项目

National High Technology Research and Development Program of China (863 Program) (2006AA04Z182), National Natu-ral Science Foundation of China (60736021), and National Creative Research Groups Science Foundation of China (60721062) (863 Program)

自动化学报

OA北大核心CSCDCSTPCD

0254-4156

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