期刊
ISA TRANSACTIONS
卷 52, 期 4, 页码 501-509出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2013.04.005
关键词
Runge-Kutta model; Gradient observer; Chaos synchronization; Observer-based chaos control; Stability
资金
- Pamukkale University Scientific Research Projects Council
This paper proposes a novel nonlinear gradient-based observer for synchronization and observer-based control of chaotic systems. The model is based on a Runge-Kutta model of the chaotic system where the evolution of the states or parameters is derived based on the error-square minimization. The stability and convergence conditions of observer and control methods are analyzed using a Lyapunov stability approach. In numerical simulations, the proposed observer and well-known sliding-mode observer are compared for the synchronization of a Lid chaotic system and observer-based stabilization of a Chen chaotic system. The noisy case for synchronization and parameter uncertainty case for stabilization are also considered for both observer-based methods. (c) 2013 ISA. Published by Elsevier Ltd. All rights reserved.
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