Robust \(H_{\infty}\) fuzzy control for nonlinear discrete-time stochastic systems with Markovian jump and parametric uncertainties
type: Item
instance of: scholarly article
title: Robust \(H_{\infty}\) fuzzy control for nonlinear discrete-time stochastic systems with Markovian jump and parametric uncertainties
zbMATH Open document ID: 1407.93117
DOI: 10.1155/2014/235804
author: Huiying Sun
author: Long Yan
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The paper mainly investigates the \(H_{\infty}\) fuzzy control problem for a class of nonlinear discrete-time stochastic systems with Markovian jump and parametric uncertainties. The class of systems is modeled by a state space Takagi-Sugeno (T-S) fuzzy model that has linear nominal parts and norm-bounded parameter uncertainties in the state and output equations. An \(H_{\infty}\) control design method is developed by using the Lyapunov function. The decoupling technique makes the Lyapunov matrices and the system matrices separated, which makes the control design feasible. Then, some strict linear matrix inequalities are derived on robust \(H_{\infty}\) norm conditions in which both robust stability and \(H_{\infty}\) performance are required to be achieved. Finally, a computer-simulated truck-trailer example is given to verify the feasibility and effectiveness of the proposed design method.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 7015953
Wikidata QID: Q59064056
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/235804
OpenAlex ID: W2122204941
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description: scientific article; zbMATH DE number 7015953