Fuzzy stabilization for nonlinear discrete ship steering stochastic systems subject to state variance and passivity constraints
type: Item
instance of: scholarly article
title: Fuzzy stabilization for nonlinear discrete ship steering stochastic systems subject to state variance and passivity constraints
zbMATH Open document ID: 1407.93410
DOI: 10.1155/2014/598618
author: Wen-Jer Chang
author: Bo-Jyun Huang
author: Po-Hsun Chen
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: For nonlinear discrete-time stochastic systems, a fuzzy controller design methodology is developed in this paper subject to state variance constraint and passivity constraint. According to fuzzy model based control technique, the nonlinear discrete-time stochastic systems considered in this paper are represented by the discrete-time Takagi-Sugeno fuzzy models with multiplicative noise. Employing Lyapunov stability theory, upper bound covariance control theory, and passivity theory, some sufficient conditions are derived to find parallel distributed compensation based fuzzy controllers. In order to solve these sufficient conditions, an iterative linear matrix inequality algorithm is applied based on the linear matrix inequality technique. Finally, the fuzzy stabilization problem for nonlinear discrete ship steering stochastic systems is investigated in the numerical example to illustrate the feasibility and validity of proposed fuzzy controller design method.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 7016821
Wikidata QID: Q59066397
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/598618
OpenAlex ID: W1987494111
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description: scientific article; zbMATH DE number 7016821