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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 786068, 13 pages
Research Article

Observer-Based Robust Control of Uncertain Switched Fuzzy Systems with Combined 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 1 April 2013; Accepted 27 May 2013

Academic Editor: Xiaojie Su

Copyright © 2013 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.


The observer-based robust control for a class of switched fuzzy (SF) time-delay systems involving uncertainties and external disturbances is investigated in this paper. A switched fuzzy system, which differs from existing ones, is firstly employed to describe a nonlinear system. Next, a combined switching controller is proposed. The designed controller based on the observer instead of the state information integrates the advantages of both the switching controllers and the supplementary controllers but eliminates their disadvantages. The proposed controller provides good performance during the transient period, and the chattering effect is removed when the system state approaches the origin. Sufficient condition for the solvability of the robust control problem is given for the case that the state of system is not available. 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.