Finite-time \(H_2/H_\infty\) control for linear Itô stochastic systems with \((x,u,v)\)-dependent noise
type: Item
instance of: scholarly article
title: Finite-time \(H_2/H_\infty\) control for linear Itô stochastic systems with \((x,u,v)\)-dependent noise
zbMATH Open document ID: 1407.93124
DOI: 10.1155/2018/1936021
author: Shiyu Zhong
author: Zhi-Guo Yan
author: Xing-Ping Liu
published in: Complexity
publication date: 2019-02-19T00:00:00Z
review text: Summary: This paper deals with the problem of the \(H_2/H_\infty\) control based on finite-time boundedness for linear stochastic systems. The motivation for investigating this problem comes from one observation that the \(H_2/H_\infty\) control does not involve systems' transient performance. To express this problem clearly, a concept called finite-time \(H_2/H_\infty\) control is introduced. Moreover, state feedback and observer-based finite-time \(H_2/H_\infty\) controllers are designed, which guarantee finite-time boundedness, \(H_2\) performance index, and \(H_\infty\) performance index of the closed-loop systems. Furthermore, an optimization algorithm on the finite-time \(H_2/H_\infty\) control is presented to obtain the minimum values of the \(H_2\) index and \(H_\infty\) index. Finally, we use an example to show the validity of the obtained results.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 7024883
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1936021
OpenAlex ID: W2897281114
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description: scientific article; zbMATH DE number 7024883