Finite-time \(H_\infty\) control for a class of discrete-time Markov jump systems with actuator saturation via dynamic antiwindup design
type: Item
instance of: scholarly article
title: Finite-time \(H_\infty\) control for a class of discrete-time Markov jump systems with actuator saturation via dynamic antiwindup design
zbMATH Open document ID: 1406.93252
DOI: 10.1155/2014/906902
author: Jing Wang
author: Bo Li
author: Junjie Zhao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We deal with the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. A controller designed for unconstrained systems combined with a dynamic antiwindup compensator is given to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. The proposed conditions allow us to find dynamic anti-windup compensator which stabilize the closed-loop systems in the finite-time sense. All these conditions can be expressed in the form of linear matrix inequalities and therefore are numerically tractable, as shown in the example included in the paper.
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93E03
zbMATH DE Number: 7023285
zbMATH Keywords: finite-time \(H_\infty\) control
zbMATH Keywords: discrete-time Markov jump systems
zbMATH Keywords: actuator saturation
zbMATH Keywords: antiwindup design
Wikidata QID: Q59042758
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/906902
OpenAlex ID: W1973034852
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description: scientific article; zbMATH DE number 7023285