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一类不确定离散切换模糊时滞系统的鲁棒非脆弱控制
引用本文:刘毅,赵军.一类不确定离散切换模糊时滞系统的鲁棒非脆弱控制[J].控制与决策,2009,24(7).
作者姓名:刘毅  赵军
作者单位:1. 东北大学,信息科学与工程学院,沈阳,110004
2. 东北大学,教育部流程工业综合自动化重点实验室,沈阳,110004
基金项目:国家自然科学基金项目 
摘    要:针对一类不确定离散切换模糊时滞系统,研究了在控制器增益存在摄动情况下的稳定性问题.利用切换技术和多Lyapunov函数方法,并以矩阵不等式形式给出了非脆弱状态反馈控制器存在的充分条件和切换律设计.最后通过数值仿真算例验证了设计方法的有效性和可行性.

关 键 词:切换模糊系统  不确定时滞系统  非脆弱控制  离散系统  Lyapunov函数

Robust non-fragile control for a class of uncertain discrete switched fuzzy systems with time-delay
LIU Yi,ZHAO Jun.Robust non-fragile control for a class of uncertain discrete switched fuzzy systems with time-delay[J].Control and Decision,2009,24(7).
Authors:LIU Yi  ZHAO Jun
Affiliation:a.College of Information Science and Engineering;b.Key Laboratory of Integrated Automation of Process Industry of Ministry of Education;Northeastern University;Shenyang 110004;China.
Abstract:This paper investigates the problems of non-fragile control for a class of uncertain discrete switched fuzzy control systems with time-delay.A sufficient condition for the existence of non-fragile state-feedback controllers and the switching law are proposed based on switching and multiple Lyapunov functions technique.The corresponding results are all formulated in terms of matrix inequalities.Finally,an illustrative example shows the feasibility and the effectiveness of the proposed approach.
Keywords:Switched fuzzy systems  Uncertain time-delay systems  Non-fragile control  Discrete systems  Lyapunov functions  
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