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Abstract and Applied Analysis
Volume 2014, Article ID 836378, 9 pages
http://dx.doi.org/10.1155/2014/836378
Research Article

Prescribed Performance Fuzzy Adaptive Output-Feedback Control for Nonlinear Stochastic Systems

Department of Basic Mathematics, Liaoning University of Technology, Jinzhou, Liaoning 121000, China

Received 4 January 2014; Accepted 4 February 2014; Published 12 March 2014

Academic Editor: Ming Liu

Copyright © 2014 Lili Zhang 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

A prescribed performance fuzzy adaptive output-feedback control approach is proposed for a class of single-input and single-output nonlinear stochastic systems with unmeasured states. Fuzzy logic systems are used to identify the unknown nonlinear system, and a fuzzy state observer is designed for estimating the unmeasured states. Based on the backstepping recursive design technique and the predefined performance technique, a new fuzzy adaptive output-feedback control method is developed. It is shown that all the signals of the resulting closed-loop system are bounded in probability and the tracking error remains an adjustable neighborhood of the origin with the prescribed performance bounds. A simulation example is provided to show the effectiveness of the proposed approach.