Reduced-Order Antisynchronization of Chaotic Systems via Adaptive Sliding Mode Control | Zendy

Wafaa Jawaada | Zendy; Mohd Salmi Md Noorani | Zendy; M. Mossa Al-Sawalha | Zendy; M. Abdul Majid | Zendy

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Reduced-Order Antisynchronization of Chaotic Systems via Adaptive Sliding Mode Control

Author(s) -

Wafaa Jawaada,

Mohd Salmi Md Noorani,

M. Mossa Al-Sawalha,

M. Abdul Majid

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/415652

Subject(s) - control theory (sociology) , chaotic , chen , lorenz system , mathematics , sliding mode control , controller (irrigation) , mode (computer interface) , order (exchange) , projection (relational algebra) , chaotic systems , computer science , control (management) , nonlinear system , algorithm , artificial intelligence , physics , paleontology , finance , quantum mechanics , agronomy , economics , biology , operating system

A novel reduced-order adaptive sliding mode controller is developed and experimentedin this paper to antisynchronize two different chaotic systems with different order. Basedupon the parameters modulation and the adaptive sliding mode control techniques, we show thatdynamical evolution of third-order chaotic system can be antisynchronized with the projectionof a fourth-order chaotic system even though their parameters are unknown. The techniques aresuccessfully applied to two examples: firstly Lorenz (4th-order) and Lorenz (3rd-order) and secondly the hyperchaoticLü (4th-order) and Chen (3rd-order). Theoretical analysis and numerical simulationsare shown to verify the results

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