\(H_{\infty}\) control for LPV discrete systems with random time-varying network delay
type: Item
instance of: scholarly article
title: \(H_{\infty}\) control for LPV discrete systems with random time-varying network delay
zbMATH Open document ID: 1427.93132
DOI: 10.1155/2018/9095014
author: Kewang Huang
author: Tao Ma
author: Feng Pan
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: In this paper, we study the \(H_{\infty}\) control problem for Linear Parameter Varying (LPV) discrete systems with random time-varying network delay. The state matrices of LPV discrete systems are deterministic functions and changed with parameters; the range of parameters is measurable. Considering the characteristics of networks with random time-varying delay, we proposed a new parameter-dependent \(H_{\infty}\) performance criterion based on the Lyapunov stability theory. The coupling between Lyapunov functions and system matrices could be eliminated by introducing an additional matrix in this criterion, which made it easier for numerical implementation. On this basis, we designed a state feedback controller by virtue of linear matrix inequalities, which transformed the sufficient conditions into existence condition of solution of parametric linear matrix inequalities. The designed controller could keep the closed-loop system asymptotically stable under given time delay and probability and meet predefined performance metric. The validity of the proposed method is verified by numerical simulation.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 7019701
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9095014
OpenAlex ID: W2899406578
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description: scientific article; zbMATH DE number 7019701