Analytic model predictive control of uncertain nonlinear systems: a fuzzy adaptive approach
type: Item
instance of: scholarly article
title: Analytic model predictive control of uncertain nonlinear systems: a fuzzy adaptive approach
zbMATH Open document ID: 1394.93136
DOI: 10.1155/2015/760490
author: Xiuyan Peng
author: Shuli Jia
author: Xingmei Wang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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 \(H\)-infinity sense. Finally, simulation results demonstrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C42
zbMATH DE Number: 6927174
Wikidata QID: Q59119828
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/760490
OpenAlex ID: W1755400437
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description: scientific article; zbMATH DE number 6927174