Stability and Stabilization Conditions for Continuous-time Takagi-Sugeno Fuzzy Systems

被引:0
作者
Chen, Jun [1 ]
Kuang, Fangjun [1 ,2 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
[2] Hunan Vocat Inst Safety Technol, Dept Elect & Informat Engn, Changsha 410151, Hunan, Peoples R China
来源
2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年
关键词
Takagi-Sugeno fuzzy systems; stabilization; linear matrix inequalities (LMIs); fuzzy Lyapunov functions (FLFs); LYAPUNOV FUNCTION-APPROACH; NONQUADRATIC STABILIZATION; NONLINEAR-SYSTEMS; QUADRATIC STABILITY; DESIGN; MODELS; FORM;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with stability and stabilization conditions for continuous-time Takagi-Sugeno fuzzy systems. Firstly, some of previous important stabilization conditions are summarized by a theorem in terms of the common Lyapunov functions and PDC control laws. Secondly, the fuzzy Lyapunov functions and non-PDC control laws are further employed to discuss stability and stabilization conditions and then less conservative conditions are produced via linear matrix inequalities. Finally, examples illustrate the effectiveness and merits of the proposed methods.
引用
收藏
页码:4483 / 4488
页数:6
相关论文
共 22 条
  • [1] Stability analysis of polynomial fuzzy models via polynomial fuzzy Lyapunov functions
    Bernal, Miguel
    Sala, Antonio
    Jaadari, Abdelhafidh
    Guerra, Thierry-Marie
    [J]. FUZZY SETS AND SYSTEMS, 2011, 185 (01) : 5 - 14
  • [2] A membership-function-dependent approach for stability analysis and controller synthesis of Takagi-Sugeno models
    Bernal, Miguel
    Guerra, Thierry Marie
    Kruszewski, Alexandre
    [J]. FUZZY SETS AND SYSTEMS, 2009, 160 (19) : 2776 - 2795
  • [3] Boyd S., 1994, LINEAR MATRIX INEQUA
  • [4] Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form
    Ding, BC
    Sun, HX
    Yang, P
    [J]. AUTOMATICA, 2006, 42 (03) : 503 - 508
  • [5] Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions
    Feng, G
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (01) : 22 - 28
  • [6] Non-quadratic local stabilization for continuous-time Takagi-Sugeno models
    Guerra, Thierry Marie
    Bernal, Miguel
    Guelton, Kevin
    Labiod, Salim
    [J]. FUZZY SETS AND SYSTEMS, 2012, 201 : 40 - 54
  • [7] LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
    Guerra, TM
    Vermeiren, L
    [J]. AUTOMATICA, 2004, 40 (05) : 823 - 829
  • [8] Piecewise quadratic stability of fuzzy systems
    Johansson, M
    Rantzer, A
    Årzén, KE
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (06) : 713 - 722
  • [9] New approaches to relaxed quadratic stability condition of fuzzy control systems
    Kim, E
    Lee, H
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (05) : 523 - 534
  • [10] Nonquadratic stabilization conditions for a class of uncertain nonlinear discrete time TS fuzzy models: A new approach
    Kruszewski, A.
    Wang, R.
    Guerra, T. M.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (02) : 606 - 611