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Mathematical Problems in Engineering
Volume 2015, Article ID 896382, 8 pages
http://dx.doi.org/10.1155/2015/896382
Research Article

Fuzzy Adaptive Prescribed Performance Control for Uncertain Horizontal Platform System with Unknown Control Gain

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

Received 11 August 2015; Revised 7 November 2015; Accepted 10 November 2015

Academic Editor: Yang Tang

Copyright © 2015 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 control method for uncertain horizontal platform system with unknown control gain, which is capable of guaranteeing the prescribed performance bounds. 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 controller is designed for the unconstrained system. It is shown that all the variables of the resulting closed-loop system are bounded. Finally, an illustrative example is given to demonstrate the effectiveness and usefulness of the proposed method.