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
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
收藏
页码:245 / 266
页数:22
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