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

被引：43

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.

引用

页码：245 / 266

页数：22

共 24 条

[1] Chen BS, 1996, IEEE T FUZZY SYST, V4, P32, DOI 10.1109/91.481843
[2] CHEN GR, 1995, IEEE INT SYMP CIRC S, P1177, DOI 10.1109/ISCAS.1995.520354
[3] CHO YW, THESIS YONSEI U KORE
[4] An improved stable adaptive fuzzy control method
Fischle, K
Schröder, D
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (01) : 27 - 40
[5] GALLEGOS JA, 1994, DYNAM CONTROL, V4, P277
[6] CONTROLLING CARDIAC CHAOS
GARFINKEL, A
SPANO, ML
DITTO, WL
WEISS, JN
[J]. SCIENCE, 1992, 257 (5074) : 1230 - 1235
[7] Kang HJ, 1998, 1998 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AT THE IEEE WORLD CONGRESS ON COMPUTATIONAL INTELLIGENCE - PROCEEDINGS, VOL 1-2, P264, DOI 10.1109/FUZZY.1998.687495
[8] Kawamoto S, 1996, FUZZ-IEEE '96 - PROCEEDINGS OF THE FIFTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, P1427, DOI 10.1109/FUZZY.1996.552385
[9] Robust adaptive fuzzy-neural controllers for uncertain nonlinear systems
Leu, YG
Wang, WY
Lee, TT
[J]. IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, 1999, 15 (05): : 805 - 817
[10] Control of the chaotic Duffing equation with uncertainty in all parameters
Loria, A
Panteley, E
Nijmeijer, H
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (12): : 1252 - 1255

← 1 2 3 →