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Mathematical Problems in Engineering
Volume 2014, Article ID 151095, 12 pages
Research Article

Enhanced Control Design of Discrete-Time Takagi-Sugeno State-Multiplicative Noisy Systems

Department of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia

Received 4 December 2013; Revised 21 February 2014; Accepted 25 February 2014; Published 13 April 2014

Academic Editor: Shuping He

Copyright © 2014 Dušan Krokavec and Anna Filasová. 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.


Design conditions for existence of the state feedback control for Takagi-Sugeno fuzzy discrete-time stochastic systems with state-multiplicative noise, stabilizing the closed-loop in such way that the quadratic performance in the mean is satisfied, are presented in the paper. Using newly introduced enhanced form of the bounded real lemma for such stochastic systems, the LMI-based procedure is provided for computation of gain matrices of the state control law, realized in the parallel distributed compensation structure. The approach is illustrated on an example, demonstrating the validity of the proposed method.