Adaptive Control of the Chaotic System via Singular System Approach | Zendy

Yan Li | Zendy; Tianyu Zhang | Zendy; Yujun Zhang | Zendy

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Adaptive Control of the Chaotic System via Singular System Approach

Author(s) -

Yan Li,

Tianyu Zhang,

Yujun Zhang

Publication year - 2014

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 - 10.1155/2014/580105

Subject(s) - control theory (sociology) , chaotic , sliding mode control , convergence (economics) , controller (irrigation) , computer science , mode (computer interface) , surface (topology) , lorenz system , state (computer science) , adaptive control , control (management) , mathematics , nonlinear system , algorithm , artificial intelligence , physics , geometry , quantum mechanics , agronomy , economics , biology , economic growth , operating system

This paper deals with the control problem of the chaotic system subject to disturbance. The sliding mode surface is designed by singular system approach, and sufficient condition for convergence is given. Then, the adaptive sliding mode controller is designed to make the state arrive at the sliding mode surface in finite time. Finally, Lorenz system is considered as an example to show the effectiveness of the proposed method

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