Journal
INFORMATION SCIENCES
Volume 147, Issue 1-4, Pages 245-266Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/S0020-0255(02)00271-2
Keywords
chaos; fuzzy control; Takagi-Sugeno fuzzy model; nonlinear system; Lorenz system
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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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