Quadratic stability analysis and design of continuous-time fuzzy control systems

被引:110
作者
Cao, SG
Rees, NW
Feng, G
机构
[1] Department of Systems and Control, School of Electrical Engineering, University of New South Wales, Sydney, NSW
关键词
D O I
10.1080/00207729608929204
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 presents a design method for fuzzy control systems. The method is based on a fuzzy state-space model A suitable piecewise smooth quadratic (PSQ) Lyapunov function is used to establish asymptotic stability of the closed-loop system. With the PSQ Lyapunov function a kind of global controller design method can be developed, and thus the disadvantage of using fixed P in the Lyapunov function can be overcome. Furthermore, a constructive algorithm is developed to obtain the stabilizing feedback control law. The controller design algorithm involves solving a set of certain algebraic Riccati equations. An example is given to illustrate the application of the method.
引用
收藏
页码:193 / 203
页数:11
相关论文
共 14 条
  • [1] Cao S. G., 1994, Proceedings of the 1994 Second Australian and New Zealand Conference on Intelligent Information Systems (Cat. No.94TH8019), P219, DOI 10.1109/ANZIIS.1994.396917
  • [2] Cao S. G., 1994, Proceedings of the 1994 Second Australian and New Zealand Conference on Intelligent Information Systems (Cat. No.94TH8019), P214, DOI 10.1109/ANZIIS.1994.396918
  • [3] ANALYSIS AND DESIGN OF FUZZY CONTROL-SYSTEM
    CHEN, CL
    CHEN, PC
    CHEN, CK
    [J]. FUZZY SETS AND SYSTEMS, 1993, 57 (02) : 125 - 140
  • [4] CUTMAN S, 1979, IEEE AUTOMATIC CONTR, V24, P438
  • [5] Filippov A. F., 1964, Trans. Amer. Math. Soc. Ser, V2, P199, DOI DOI 10.1090/TRANS2/042/13
  • [6] ROBUST STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS - QUADRATIC STABILIZABILITY AND H INFINITY-CONTROL THEORY
    KHARGONEKAR, PP
    PETERSEN, IR
    ZHOU, KM
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (03) : 356 - 361
  • [7] APPLICATION OF FUZZY ALGORITHMS FOR CONTROL OF SIMPLE DYNAMIC PLANT
    MAMDANI, EH
    [J]. PROCEEDINGS OF THE INSTITUTION OF ELECTRICAL ENGINEERS-LONDON, 1974, 121 (12): : 1585 - 1588
  • [8] A REVIEW AND COMPARISON OF 6 REASONING METHODS
    NAKANISHI, H
    TURKSEN, IB
    SUGENO, M
    [J]. FUZZY SETS AND SYSTEMS, 1993, 57 (03) : 257 - 294
  • [9] A STABILIZATION ALGORITHM FOR A CLASS OF UNCERTAIN LINEAR-SYSTEMS
    PETERSEN, IR
    [J]. SYSTEMS & CONTROL LETTERS, 1987, 8 (04) : 351 - 357
  • [10] Fuzzy-logic-based approach to qualitative modeling
    Sugeno, Michio
    Yasukawa, Takahiro
    [J]. IEEE Transactions on Fuzzy Systems, 1993, 1 (01) : 7 - 31