华东师范大学学报(自然科学版) ›› 2005, Vol. 2005 ›› Issue (5/6): 90-96.

• 数学 统计学 • 上一篇    下一篇

不确定离散时滞随机大系统的鲁棒非脆弱

张小美1,2, 郑毓蕃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:2004-04-30 修回日期:2004-10-08 出版日期:2005-12-31 发布日期:2005-12-31
  • 通讯作者: 张小美

Robust and Non-Fragile H∞ Control for Uncertain Stochastic Discrete-delay Large-Scale Systems(Chinese)

ZHANG Xiao-mei 1,2, ZHENG Yu-fan1   

  1. 1. Department of Computer Science and Technology, East China Normal University, Shanghai 200062, China;2. School of Science, Nantong University, Nantong 226007, China
  • Received:2004-04-30 Revised:2004-10-08 Online:2005-12-31 Published:2005-12-31
  • Contact: ZHANG Xiao-mei

摘要： 研究不确定离散时滞随机大系统的鲁棒非脆弱H∞控制问题. 目的是设计一个鲁棒非脆弱且具有加式控制器增益变化的分散状态反馈控制器, 使得相应的闭环系统鲁棒随机稳定,并保证指定的,H∞,性能水平. 基于李雅普诺夫方法,以若干个线性矩阵不等式形式给出了控制器存在的充分条件.

关键词: 大系统, 随机系统, 非脆弱控制, 鲁棒, H∞, 控制, 线性矩阵不等式, 大系统, 随机系统, 非脆弱控制, 鲁棒, H∞, 控制, 线性矩阵不等式

Abstract:

This paper deals with the problem of obust and non-fragile H∞ control for uncertain tochastic discrete-delay large-scale systems. The ncertainties of the system are assumed to be time-varying norm-bounded. The aim is the design of a robust and non-fragile H∞ decentralized state feedback controller for the systems with additive controller gain variations,which ensures the robust stochastic stability and a prescribed H∞ performance level for the resulting closed-loop system, in spite of the uncertainties and the time delays. Based on the Lyapunov method, a sufficient condition for the existence of such a state feedback controller is obtained in terms of linear matrix inequalities(LMIs).

Key words: stochastic systems, non-fragile control, robust H∞ control, LMI , Large-scale systems, stochastic systems, non-fragile control, robust H∞ control, LMI

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