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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 4386515, 10 pages
https://doi.org/10.1155/2017/4386515
Research Article

Fuzzy Adaptive Prescribed Performance Control for a Class of Uncertain Nonlinear Systems with Unknown Dead-Zone Inputs

Department of Mathematics, Huainan Normal University, Huainan 232038, China

Correspondence should be addressed to Wei Xiang

Received 13 July 2016; Accepted 16 October 2016; Published 26 March 2017

Academic Editor: Hung-Yuan Chung

Copyright © 2017 Wei Xiang 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 proposes a fuzzy adaptive prescribed performance control scheme for a class of uncertain chaotic systems with unknown control gains and unknown dead-zone inputs. Firstly, an error transformation is introduced to transform the original constrained system into an equivalent unconstrained one. Then, based on the error transformation technique and the predefined performance technique, a fuzzy adaptive feedback control method is developed. It is shown that all the signals of the resulting closed-loop system are bounded. Finally, an illustrative example is given to demonstrate the effectiveness and usefulness of the proposed technique.