Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 872826, 21 pages
http://dx.doi.org/10.1155/2012/872826
Research Article

Robust Tracking Control for Switched Fuzzy Systems with Fast Switching Controller

1School of Information Engineering, Shenyang University, Shenyang 110044, China
2School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116023, China

Received 30 August 2012; Revised 27 October 2012; Accepted 12 November 2012

Academic Editor: Wudhichai Assawinchaichote

Copyright © 2012 Hong Yang 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 addresses the problem of designing robust tracking controls for a class of switched fuzzy (SF) systems with time delay. A switched fuzzy system, which differs from existing ones, is firstly employed to describe a nonlinear system. Next, a fast switching controller consisting of a number of simple subcontrollers is proposed. The smooth transition is governed by using the fast switching controller. Tracking hybrid control schemes which are based upon a combination of the H tracking theory, fast switching control algorithm, and switching law design are developed such that the H model referent tracking performance is guaranteed. Since convex combination techniques are used to derive the delay independent criteria, some subsystems are allowed to be unstable. Finally, various comparisons of the elaborated examples are conducted to demonstrate the effectiveness of the proposed control design approach. All results illustrate good control performances as desired.