Output Regulation of Polynomial-Fuzzy-Model-Based Control Systems

被引：53
作者：
Lam, H. K. [1 ]
Lo, J. C. [2 ]
机构：
[1] Kings Coll London, Div Engn, Dept Elect Engn, London WC2R 2LC, England
[2] Natl Cent Univ, Dept Mech Engn, Jhongli 32054, Taiwan
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2013年 / 21卷 / 02期
关键词：
Output regulation; polynomial fuzzy-model-based (PFMB) control; stability analysis; sum of squares (SoS); STABILITY ANALYSIS; RELAXED STABILITY; NEURAL-NETWORKS; DYNAMICAL-SYSTEMS; NONLINEAR-SYSTEMS; UNCERTAIN GRADES; TRACKING CONTROL; STABILIZATION; PERFORMANCE; IDENTIFICATION;
D O I：
10.1109/TFUZZ.2012.2211365
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 investigates the output regulation problem of polynomial-fuzzy-model-based (PFMB) control systems with the consideration of system stability and control synthesis using the sum-of-squares (SOS)-based approach. A PFMB control system is formed by a polynomial fuzzy model and a polynomial fuzzy controller with integral action connected in a closed loop. Three cases of PFMB control systems regarding the premise membership functions and number of fuzzy rules, which have their own properties and advantages, are considered. The stability of the PFMB control systems is investigated based on the Lyapunov stability theory. With consideration of the information of membership functions, SOS-based stability conditions corresponding to each case are obtained to guarantee system stability and to realize output regulation. Simulation examples are given to compare the three cases and illustrate the effectiveness of the proposed approach.
引用
收藏
页码：262 / 274
页数：13
相关论文
共 50 条
  • [41] Membership-function-dependent stability analysis of fuzzy-model-based control systems using fuzzy Lyapunov functions
    Lam, H. K.
    Lauber, J.
    INFORMATION SCIENCES, 2013, 232 : 253 - 266
  • [42] Stabilization and Robust Stabilization of Polynomial Fuzzy Systems: A Piecewise Polynomial Lyapunov Function Approach
    Ashar, Alissa Ully
    Tanaka, Motoyasu
    Tanaka, Kazuo
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2018, 20 (05) : 1423 - 1438
  • [43] Static Output Feedback Control Synthesis for Positive Polynomial Fuzzy Systems with time delay
    Messaoudi, A.
    Ammar, I. Iben
    Gassara, H.
    El Hajjaji, A.
    2021 9TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC'21), 2021, : 19 - 23
  • [44] Output Feedback Control Synthesis and Stabilization for Positive Polynomial Fuzzy Systems Under L1 Performance
    Meng, Aiwen
    Lam, Hak-Keung
    Liu, Fucai
    Wang, Ziguang
    FUZZY SYSTEMS AND DATA MINING VI, 2020, 331 : 135 - 145
  • [45] Relaxed static output stabilization of polynomial fuzzy control systems by Lagrange membership functions
    Bao, Zhiyong
    Li, Sike
    Li, Xiaomiao
    Du, Yuehao
    Liu, Fucai
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2024, 34 (09) : 5929 - 5948
  • [46] Sum-of-Squares-Based Stability Analysis of Polynomial Fuzzy-Model-Based Control Systems
    Lam, H. K.
    Narimani, Mohammad
    2009 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, 2009, : 234 - 239
  • [47] LMI-Based Stability Conditions for Interval Type-2 Fuzzy-Model-Based Control Systems
    Lam, H. K.
    Narimani, Mohammad
    Seneviratne, L. D.
    IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ 2011), 2011, : 298 - 303
  • [48] New Polynomial Lyapunov Functional Approach to Observer-Based Control for Polynomial Fuzzy Systems with Time Delay
    Ammar, Imen Iben
    Gassara, Hamdi
    El Hajjaji, Ahmed
    Chaabane, Mohamed
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2018, 20 (04) : 1057 - 1068
  • [49] Polynomial-Approximation-Based Control for Nonlinear Systems
    Zhou, Qi
    Chen, Ziran
    Lam, Hak-Keung
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2016, 35 (10) : 3575 - 3594
  • [50] Observer-based control of positive polynomial fuzzy systems with unknown time delay
    Han, Meng
    Lam, H. K.
    Li, Yuandi
    Liu, Fucai
    Zhang, Changzhu
    NEUROCOMPUTING, 2019, 349 : 77 - 90
12345