Adaptive Sliding Mode Controller Design for Projective Synchronization of Different Chaotic Systems with Uncertain Terms and External Bounded Disturbances | Zendy

Shijian Cang | Zendy; Zenghui Wang | Zendy; Zengqiang Chen | Zendy

Open Access

Adaptive Sliding Mode Controller Design for Projective Synchronization of Different Chaotic Systems with Uncertain Terms and External Bounded Disturbances

Author(s) -

Shijian Cang,

Zenghui Wang,

Zengqiang Chen

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 - 10.1155/2013/856282

Subject(s) - bounded function , control theory (sociology) , synchronization (alternating current) , lyapunov stability , controller (irrigation) , stability theory , computer science , synchronization of chaos , mathematics , lorenz system , sliding mode control , chaotic , mode (computer interface) , adaptive control , chaotic systems , control (management) , topology (electrical circuits) , nonlinear system , mathematical analysis , artificial intelligence , physics , combinatorics , quantum mechanics , agronomy , biology , operating system

Synchronization is very useful in many science and engineering areas. In practical application, it is general that there are unknown parameters, uncertain terms, and bounded external disturbances in the response system. In this paper, an adaptive sliding mode controller is proposed to realize the projective synchronization of two different dynamical systems with fully unknown parameters, uncertain terms, and bounded external disturbances. Based on the Lyapunov stability theory, it is proven that the proposed control scheme can make two different systems (driving system and response system) be globally asymptotically synchronized. The adaptive global projective synchronization of the Lorenz system and the Lü system is taken as an illustrative example to show the effectiveness of this proposed control method

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