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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 267024, 6 pages
Research Article

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

College of Computer and Information Science, Chongqing Normal University, Chongqing 401331, China

Received 1 May 2014; Accepted 22 June 2014; Published 13 July 2014

Academic Editor: Chuandong Li

Copyright © 2014 Degang Yang and Guoying Qiu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.