Terminal Sliding Mode Control with Adaptive Feedback Control in a Class of Chaotic Systems | Zendy

Degang Yang | Zendy; Guoying Qiu | Zendy

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Terminal Sliding Mode Control with Adaptive Feedback Control in a Class of Chaotic Systems

Author(s) -

Degang Yang,

Guoying Qiu

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/267024

Subject(s) - control theory (sociology) , controller (irrigation) , lyapunov stability , chaotic , terminal (telecommunication) , stability (learning theory) , chaotic systems , terminal sliding mode , sliding mode control , mode (computer interface) , class (philosophy) , lyapunov function , adaptive control , control (management) , computer science , linear matrix inequality , mathematics , nonlinear system , mathematical optimization , physics , artificial intelligence , telecommunications , quantum mechanics , machine learning , agronomy , biology , operating system

This paper analyzes semifinite time stability for a general chaotic system. By cooperating methods terminal sliding mode (TSM) with adaptive feedback control (AFC), a controller based on the two methods is derived to achieve semifinite time stability. The theoretical analysis employs the theories of linear matrix inequalities and Lyapunov functional method. Finally, numerical simulation is given to illustrate the derived theoretical results.

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