Journal of Guangdong University of Technology ›› 2010, Vol. 27 ›› Issue (3): 22-26.

• Comprehensive Studies • Previous Articles     Next Articles

Stability Analysis of Discrete T-S Fuzzy Control Systems

  

  1. Faculty of Applied Mathematics，Guangdong University ofTechnology，Guangzhou 51006，China
  • Online:2010-09-25 Published:2010-09-25

HTML

PDF (PC)

2388

Abstract: Based on piecewise fuzzy Lyapunov function，the properties of fuzzy control systems employing two-over.lapped fuzzy partition inputs are studied，and the notation of maximal overlapped—rule area is also proposed．These new suficient conditions to check the stability of a T-S fuzzy control system are proposed．The conditions require finding a common positive-definite matrix in each maximal overlapped-rule area，which can reduce the conservation and dificulty of former stability analysis approaches．Finally，an example is given to show the approach is effective and advantageous．

Key words: discrete-time T-S fuzzy system；piecewise fuzzy Lyapunov function；fuzzy partition；stability

[1]Tanaka K，Sugeno M．Stability analysis and design of fuzzy control systerm[J]．Fuzzy Sets and Systerm，1992，45(2)：135-156．

[2]Wang H O，Tanaka K，Griffin M F．An approach to fuzzy control of nonlinear systems；Stability and design issues [J]．IEEE Transactions on Fuzzy Systerms，1996，4(1)：14-23．

[3]Daafouz J，Riedinger P，Lung C．Stability analysis and COBtrol synthesis for switched systerm ： a switched Lyapunov function approach[J]．IEEE Transactions on Automatic Control，2002，47(11)：1883-1887．

[4]Tanaka K，Hori T，Wang H O．A multiple Lyapunov function approach to stability of fuzzy systems[J]．IEEE Transactions on Fuzzy System，2003，11(4)：582-589．

[5]Wang W J，Sun C H．A relaxed stability criterion for T-S fuzzy discrete systerm[C]//In proceeding of IEEE intemational Conference on Networking，sensing and contro1．Tai-pei，Taiwan，2004：937-942．

[6]Wang W J，Sun C H．A relaxed stability criterion for T-S fuzzy discrete systerms[J]．IEEE Transactions on systems，man and Cybmetics，Part B：Cybernetics，2004，34(5)：2155-2158．

[7]Johanson M，Rantzer A，Arzen K E．Piecewise quadratic stability of fuzzy systems[J]．IEEE Transtations on Fuzzy systems，1999，7(6)：713-722．

[8]Feng G．Stability analysis of discrete—time fuzzy dynamic systems based on piecewise Lyapunov functions[J]．IEEE Transations on Fuzzy systerms，2004，12(1)：22-28．

[9]修智宏，任光．T—s模糊控制系统的稳定性分析及系统化设计[J]．自动化学报，2004，30(5)：731-741．

[10]张松涛，任光．离散T·s模糊系统的稳定性分析与系统化设计[J]．中国电机工程学报，2006，26(7)：113-117．

[1 1]张松涛，任光．基于分段模糊Lyapunov方法的离散模糊系统分析与设计[J]．自动化学报，2006，32(5)：813-818．

[12]纪志成，周英焕，沈艳霞．基于分段模糊|yapunov函数的模糊系统稳定性分析和保守能设计[J]．自动化学报，2008，34(6)：721-728．

[13]王宁，孟宪尧．输入采用一般模糊划分的T—S模糊控制系统稳定性分析[J]．自动化学报，2008，34(11)：1441-14 5．

[14]王琦，徐式蕴，等．MATLAB基础与应用实例集萃[M]．北京：人民邮电出版社，2007．
No related articles found!
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © 2017 Journal of Guangdong University of Technology
Add：729 East Dongfeng RD., Guangzhou PRC. Postcode: 510090
Tel：020-37626653,020-37626139,020-37626396
Email：xbzrb@gdut.edu.cn
Supported:Beijing Magtech