基于控制器切换的一类模糊系统的稳定性

辽宁石油化工大学学报 ›› 2007, Vol. 27 ›› Issue (2): 57-61.

基于控制器切换的一类模糊系统的稳定性

梁晓敏, 　聂　宏^＊

辽宁石油化工大学理学院, 辽宁抚顺113001

收稿日期:2006-11-14 出版日期:2007-06-20 发布日期:2017-07-05
作者简介:梁晓敏(1982 -), 女, 辽宁葫芦岛市, 在读硕士。
基金资助:
辽宁省教育厅高等学校科研项目(2004F100)。

Stability of a Class of Fuzzy Systems Based on Controller Switching

School of S cience , Liaoning University of Petroleum &Chemical Technology ,
Fushun Liaoning 113001, P .R .China

Received:2006-11-14 Published:2007-06-20 Online:2017-07-05

摘要/Abstract

摘要： 　基于T -S 模糊模型研究了一类不确定时滞模糊系统的稳定性问题。使用控制器切换技术及Ly apunov 函数方法, 在已给定的平行分布补偿PDC 控制器中, 设计适当的控制律使的对于所有允许的不确定和时滞, 相应的闭环系统渐近稳定。主要条件以凸组合的形式给出, 具有较强的可解性。计算机仿真结果表明, 设计方法是可行和有效的。

关键词: 　T -S 模糊系统, 　控制器切换, 　渐近稳定, 　Lyapunov 函数, 　切换律

Abstract:

　 On the basis of T - S fuzzy model , the problem of stability for a class uncertain time - delay systems was researched.By using controller switching technique and Lyapunov function method , among several given PDC controllers, an appropriate control law was designed to ensure that , for all admissible uncertainties and time -delay , the relative closed loop system trends to be stable .The main conditions were given in the form of convex combinations, which were easier to solve .A simulation result shows that the design method is feasible and effective .

Key words: T -S fuzzy system, , Controller switching, , Asymptotic stability, , Lyapunov function, , Switching law

梁晓敏, 　聂　宏. 基于控制器切换的一类模糊系统的稳定性[J]. 辽宁石油化工大学学报, 2007, 27(2): 57-61.

LIANG Xiao -min,NIE Hong. Stability of a Class of Fuzzy Systems Based on Controller Switching[J]. Journal of Liaoning Petrochemical University, 2007, 27(2): 57-61.