\(H_{\infty}\) gain-scheduled control for LPV stochastic systems
type: Item
instance of: scholarly article
title: \(H_{\infty}\) gain-scheduled control for LPV stochastic systems
zbMATH Open document ID: 1394.93300
DOI: 10.1155/2015/854957
author: Cheung-Chieh Ku
author: Guanwei Chen
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: A robust control problem for discrete-time uncertain stochastic systems is discussed via gain-scheduled control scheme subject to \(H_{\infty}\) attenuation performance. Applying Linear Parameter Varying (LPV) modeling approach and stochastic difference equation, the uncertain stochastic systems can be described by combining time-varying weighting function and linear systems with multiplicative noise terms. Due to the consideration of stochastic behavior, the stability in the sense of mean square is applied for the system. Furthermore, two kinds of Lyapunov functions are employed to derive their corresponding sufficient conditions to solve the stabilization problems of this paper. In order to use convex optimization algorithm, the derived conditions are converted into Linear Matrix Inequality (LMI) form. Via solving those conditions, the gain-scheduled controller can be established such that the robust asymptotical stability and \(H_{\infty}\) performance of the disturbed uncertain stochastic system can be achieved in the sense of mean square. Finally, two numerical examples are applied to demonstrate the effectiveness and applicability of the proposed design method.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6927405
Wikidata QID: Q59119684
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/854957
OpenAlex ID: W2096381482
cites work: Q3484727
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description: scientific article; zbMATH DE number 6927405