Switched Control of Type-2 Polynomial Discrete Fuzzy Systems Based on SOS

被引:0
|
作者
Wang, Tiechao [1 ]
Yi, Jianqiang [2 ]
Wang, Ding [2 ]
机构
[1] Liaoning Univ Technol, Coll Elect Engn, Jinzhou 121001, Peoples R China
[2] Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China
基金
中国国家自然科学基金;
关键词
Interval type-2 fuzzy logic; Switched control; SOS;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper presents a switched stabilization method of discrete interval type-2 fuzzy systems via sum-of-squares (SOS). Based on polynomial Lyapunov functions, we derive stabilization conditions to design stable polynomial interval type-2 fuzzy switched controllers. The stabilization conditions are represented in terms of SOS, and the controllers are numerically (partially symbolically) solved via the recent developed SOSTOOLS. In addition, polynomial discrete fuzzy systems and controllers are the generalization of discrete Takagi-Sugeno (T-S) fuzzy systems and controllers. A numerical simulation example is provided to illustrate the validity of the control method.
引用
收藏
页码:108 / 113
页数:6
相关论文
共 50 条
  • [41] Fuzzy estimation based on type-2 fuzzy logic for adaptive Control
    Chafaa, Kheireddine
    Slimane, Noureddine
    Khireddine, Mohamed Salah
    Ghanai, Mouna
    2014 WORLD SYMPOSIUM ON COMPUTER APPLICATIONS & RESEARCH (WSCAR), 2014,
  • [42] A New Look at Type-2 Fuzzy Sets and Type-2 Fuzzy Logic Systems
    Wang, Li-Xin
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (03) : 693 - 706
  • [43] Observer-Based Fuzzy Event-Triggered Control for Interval Type-2 Fuzzy Systems
    Song, Wenting
    Tong, Shaocheng
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2022, 24 (01) : 1 - 11
  • [44] The Construction of Type-2 Fuzzy Reasoning Relations for Type-2 Fuzzy Logic Systems
    Zhao, Shan
    Li, Hongxing
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [45] Type-2 fuzzy set based neuro-fuzzy model for identification and control of Nonlinear systems
    Singh, Madhusudan
    Hanmandlu, M.
    Srivastava, Smriti
    Gupta, J. R. P.
    3RD INT CONF ON CYBERNETICS AND INFORMATION TECHNOLOGIES, SYSTEMS, AND APPLICAT/4TH INT CONF ON COMPUTING, COMMUNICATIONS AND CONTROL TECHNOLOGIES, VOL 2, 2006, : 5 - +
  • [46] Observer-Based Fuzzy Event-Triggered Control for Interval Type-2 Fuzzy Systems
    Wenting Song
    Shaocheng Tong
    International Journal of Fuzzy Systems, 2022, 24 : 1 - 11
  • [47] Model-based control using interval type-2 fuzzy logic systems
    Antao, Romulo
    Mota, Alexandre
    Martins, Rui Escadas
    SOFT COMPUTING, 2018, 22 (02) : 607 - 620
  • [48] Integrated development platform for intelligent control systems based on type-2 fuzzy logic
    Sepulveda, R
    Castillo, O
    Melin, P
    Montiel, O
    Rodríguez, A
    PROCEEDINGS OF THE 8TH JOINT CONFERENCE ON INFORMATION SCIENCES, VOLS 1-3, 2005, : 164 - 167
  • [49] Stability analysis of interval type-2 fuzzy-model-based control systems
    Lam, H. K.
    Seneviratne, Lakmal D.
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (03): : 617 - 628
  • [50] Stability Analysis and Controller Design of Discrete Interval Type-2 Fuzzy Systems
    Sheng, Long
    Li, Chunguang
    2011 INTERNATIONAL CONFERENCE ON COMPUTERS, COMMUNICATIONS, CONTROL AND AUTOMATION (CCCA 2011), VOL III, 2010, : 132 - 135