A DESCRIPTOR SYSTEM APPROACH TO UNCERTAIN FUZZY CONTROL SYSTEM DESIGN VIA FUZZY LYAPUNOV FUNCTIONS

被引：3
|
作者：
Gong, Chang-Zhong [1 ]
Zeng, Xiao-Wei [1 ]
机构：
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6 | 2009年
关键词：
Uncertain T-S fuzzy system; Descriptor representation; Fuzzy Lyapunov function; LMI; STABILIZATION; STABILITY; DELAY;
D O I：
10.1109/ICMLC.2009.5212555
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of stability of uncertain T-S fuzzy system has been studied, and the sufficient conditions, which maintain the stability of the system based on the descriptor representation, has been proved. Then, convert these conditions into LMIs (linear matrix inequalities). Our results reduce computation obviously compared with the previous one. For the more relaxed LMIs conditions, a new fuzzy controller design approach and fuzzy Lyapunov function are given. Finally, a numerical example is given to show the validity and feasibility of the proposed approach.
引用
收藏
页码：498 / 503
页数：6
相关论文
共 50 条
  • [31] H∞ Controller Design for Discrete Fuzzy System Using Nonquadratic Lyapunov Functions
    Pan Juntao
    Fei Shumin
    Wang Renming
    Xue Mingxiang
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 2649 - 2654
  • [32] A neural fuzzy approach for fuzzy system design
    Figueiredo, M
    Gomide, F
    1997 IEEE INTERNATIONAL CONFERENCE ON NEURAL NETWORKS, VOLS 1-4, 1997, : 420 - 425
  • [33] Design of a vehicle lateral stability control system via a fuzzy logic control approach
    Li, B.
    Yu, F.
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART D-JOURNAL OF AUTOMOBILE ENGINEERING, 2010, 224 (D3) : 313 - 326
  • [34] Optimal design for robust control of uncertain flexible joint manipulators: a fuzzy dynamical system approach
    Han, Jiang
    Chen, Ye-Hwa
    Zhao, Xiaomin
    Dong, Fangfang
    INTERNATIONAL JOURNAL OF CONTROL, 2018, 91 (04) : 937 - 951
  • [35] Stability analysis and design of fuzzy control system with bounded uncertain delays
    Jianguo GUO~1
    2.Department of Mathematics
    JournalofControlTheoryandApplications, 2005, (03) : 271 - 274
  • [36] Fuzzy impulsive control of the hyperchaotic Lü system via a time-dependent Lyapunov function approach
    Chen, W.-H., 1600, Univ. of Electronic Science and Technology of China (42):
  • [37] Stability analysis and design of fuzzy control system with bounded uncertain delays
    Jianguo Guo
    Juntao Li
    Fengqi Zhou
    Jun Zhou
    Journal of Control Theory and Applications, 2005, 3 (3): : 271 - 274
  • [38] Motion control of planar parallel robot using the fuzzy descriptor system approach
    Vermeiren, Laurent
    Dequidt, Antoine
    Afroun, Mohamed
    Guerra, Thierry-Marie
    ISA TRANSACTIONS, 2012, 51 (05) : 596 - 608
  • [39] Piecewise Fuzzy Control for Uncertain Nonlinear System
    Liu, Zhikang
    Wang, Yan
    Ji, Zhicheng
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 5208 - 5213
  • [40] A novel robust fuzzy control of an uncertain system
    Bayrak, Abdurrahman
    Gursoy, Handan
    Efe, Mehmet Onder
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2017, 39 (03) : 324 - 333
12345