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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 896413, 11 pages
http://dx.doi.org/10.1155/2015/896413
Research Article

Fuzzy Controllers for Nonaffine-in-Control Singularly Perturbed Switched Systems

School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou 221116, China

Received 21 October 2014; Revised 14 December 2014; Accepted 14 December 2014

Academic Editor: Mohammed Chadli

Copyright © 2015 Linna Zhou et al. 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.

Abstract

This paper investigates the problem of fuzzy controller design for nonaffine-in-control singularly perturbed switched systems (NCSPSSs). First, the NCSPSS is approximated by Takagi-Sugeno (T-S) models which include not only state but also control variables in the premise part of the rules. Then, a dynamic state feedback controller design method is proposed in terms of linear matrix inequalities. Under the controller, stability bound estimation problem of the closed-loop system is solved. Finally, an example is given to show the feasibility and effectiveness of the obtained methods.