A fuzzy approach to robust control of stochastic nonaffine nonlinear systems
type: Item
instance of: scholarly article
title: A fuzzy approach to robust control of stochastic nonaffine nonlinear systems
zbMATH Open document ID: 1264.93118
DOI: 10.1155/2012/439805
author: Ting-Ting Gang
author: Jun Yang
author: Qing Gao
author: Yu Zhao
author: Jianbin Qiu
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We investigate the stabilization problem for a class of discrete-time stochastic non-affine nonlinear systems based on T-S fuzzy models. Based on the function approximation capability of a class of stochastic T-S fuzzy models, it is shown that the stabilization problem of a stochastic non-affine nonlinear system can be solved as a robust stabilization problem of the stochastic T-S fuzzy system with the approximation errors as the uncertainty term. By using a class of piecewise dynamic feedback fuzzy controllers and piecewise quadratic Lyapunov functions, robust semiglobal stabilization condition of the stochastic non-affine nonlinear systems is formulated in terms of linear matrix inequalities. A simulation example illustrating the effectiveness of the proposed approach is provided in the end.
Mathematics Subject Classification ID: 93C42
zbMATH DE Number: 6173287
Wikidata QID: Q58911658
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/439805
OpenAlex ID: W2020559730
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description: scientific article; zbMATH DE number 6173287