Design of an adaptive fuzzy model based controller for chaotic dynamics in Lorenz systems with uncertainty

被引：44
作者：
Park, CW [1 ]
Lee, CH [1 ]
Park, M [1 ]
机构：
[1] Yonsei Univ, Dept Elect & Elect Engn, ICS Lab, Seodaemun Ku, Seoul, South Korea
来源：
INFORMATION SCIENCES | 2002年 / 147卷 / 1-4期
关键词：
chaos; fuzzy control; Takagi-Sugeno fuzzy model; nonlinear system; Lorenz system;
D O I：
10.1016/S0020-0255(02)00271-2
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 the control methodology for uncertain chaotic dynamics of Lorenz systems. An adaptive fuzzy control (AFC) scheme based on well-known Takagi-Sugeno (T-S) fuzzy models for the MIMO plants is constructed. The developed control law and adaptive law guarantee the boundedness of all signals in the closed-loop system. In addition, the chaotic state tracks the state of the stable reference model (SRM) asymptotically with time for any bounded reference input signal. The proposed control is applied to control of an uncertain Lorenz system such as stabilization, synchronization and chaotic model following control (CMFC). (C) 2002 Elsevier Science Inc. All rights reserved.
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收藏
页码：245 / 266
页数：22
相关论文
共 24 条
[11]   ON LYAPUNOV CONTROL OF THE DUFFING EQUATION [J].
NIJMEIJER, H ;
BERGHUIS, H .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (08) :473-477
[12]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
[13]   Identification and control of unknown chaotic systems via dynamic neural networks [J].
Poznyak, AS ;
Yu, W ;
Sanchez, EN .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (12) :1491-1495
[14]   Stable adaptive control using fuzzy systems and neural networks [J].
Spooner, JT ;
Passino, KM .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1996, 4 (03) :339-359
[15]   FUZZY IDENTIFICATION OF SYSTEMS AND ITS APPLICATIONS TO MODELING AND CONTROL [J].
TAKAGI, T ;
SUGENO, M .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1985, 15 (01) :116-132
[16]   A unified approach to controlling chaos via arm LMI-based fuzzy control system design [J].
Tanaka, K ;
Ikeda, T ;
Wang, HO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (10) :1021-1040
[17]   STABILITY ANALYSIS AND DESIGN OF FUZZY CONTROL-SYSTEMS [J].
TANAKA, K ;
SUGENO, M .
FUZZY SETS AND SYSTEMS, 1992, 45 (02) :135-156
[18]   Fuzzy descriptor systems and nonlinear model following control [J].
Taniguchi, T ;
Tanaka, K ;
Wang, HO .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (04) :442-452
[19]  
Taniguchi T., 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), P1837, DOI 10.1109/ACC.1999.786167
[20]   The adaptive control of nonlinear systems using the Sugeno-type of fuzzy logic [J].
Tsay, DL ;
Chung, HY ;
Lee, CJ .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (02) :225-229
123