Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances | Zendy

Xiuchun Li | Zendy; Jianhua Gu | Zendy; Wei Xu | Zendy

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Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances

Author(s) -

Xiuchun Li,

Jianhua Gu,

Wei Xu

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/501421

Subject(s) - control theory (sociology) , lemma (botany) , chaotic , synchronization (alternating current) , synchronization of chaos , chaotic systems , lyapunov stability , observer (physics) , computer science , mathematics , state observer , stability (learning theory) , lyapunov function , artificial neural network , topology (electrical circuits) , nonlinear system , control (management) , artificial intelligence , physics , ecology , poaceae , combinatorics , quantum mechanics , machine learning , biology

Considering the effects of external perturbations on the state vector and the output of the original system, this paper proposes a new adaptive integral observer method to deal with chaos synchronization between the drive and response systems with unknown parameters. The analysis and proof are given by means of the Lyapunov stability theorem and Barbalat lemma. This approach has fewer constraints because many parameters related to chaotic system can be unknown, as shown in the paper. Numerical simulations are performed in the end and the results show that the proposed method is not only suitable to the representative chaotic systems but also applied to some neural network chaotic systems

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