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带有非线性扰动的非脆弱奇异时变时滞系统的保性能控制

尚阿曼 吴保卫 刘丽丽

陕西科技大学学报(自然科学版)2012,Vol.30Issue(2):94-99,6.
陕西科技大学学报(自然科学版)2012,Vol.30Issue(2):94-99,6.

带有非线性扰动的非脆弱奇异时变时滞系统的保性能控制

Non-fragile Guaranteed Cost Control for a Class of Uncertain Singular Time-varying Delay Systems with Nonlinear Perturbation

尚阿曼 1吴保卫 1刘丽丽1

作者信息

  • 1. 陕西师范大学数学与信息科学学院,陕西西安710062
  • 折叠

摘要

Abstract

The non-fragile guaranteed cost control problem is studied in this paper for a class of uncertain singular time-varying delay systems with nonlinear perturbation. Based on the Lyapunov stability theory and LMI approach, sufficient conditions for the existence of the non-fragile control law are given, and the design procedure is presented. The designed control law ensures the stability of the closed-loop systems, and a corresponding upper bound of the closed-loop cost function value is obtained for all admissible uncertainties. Furthermore, a numerical example is given to illustrate the feasibility of the proposed approach.

关键词

非线性扰动/非脆弱保性能控制/奇异时变时滞系统/LMI

Key words

nonlinear perturbation/ non-fragile guaranteed cost control/ singular time-varying delay systems/ LMI

分类

数理科学

引用本文复制引用

尚阿曼,吴保卫,刘丽丽..带有非线性扰动的非脆弱奇异时变时滞系统的保性能控制[J].陕西科技大学学报(自然科学版),2012,30(2):94-99,6.

基金项目

国家自然科学基金项目(10971123) (10971123)

陕西省自然科学基础研究计划项目(SJ08A20) (SJ08A20)

陕西科技大学学报(自然科学版)

OACSTPCD

2096-398X

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