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Mathematical Problems in Engineering
Volume 2015, Article ID 760490, 9 pages
http://dx.doi.org/10.1155/2015/760490
Research Article

Analytic Model Predictive Control of Uncertain Nonlinear Systems: A Fuzzy Adaptive Approach

1College of Automation, Harbin Engineering University, Harbin 150001, China
2Computer Science and Technology College, Harbin Engineering University, Harbin 150001, China

Received 4 February 2015; Accepted 3 March 2015

Academic Editor: Xinggang Yan

Copyright © 2015 Xiuyan Peng 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 fuzzy adaptive analytic model predictive control method is proposed in this paper for a class of uncertain nonlinear systems. Specifically, invoking the standard results from the Moore-Penrose inverse of matrix, the unmatched problem which exists commonly in input and output dimensions of systems is firstly solved. Then, recurring to analytic model predictive control law, combined with fuzzy adaptive approach, the fuzzy adaptive predictive controller synthesis for the underlying systems is developed. To further reduce the impact of fuzzy approximation error on the system and improve the robustness of the system, the robust compensation term is introduced. It is shown that by applying the fuzzy adaptive analytic model predictive controller the rudder roll stabilization system is ultimately uniformly bounded stabilized in the -infinity sense. Finally, simulation results demonstrate the effectiveness of the proposed method.