Stochastic H∞ Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise

Stochastic H∞ Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise

This paper is concerned with the stochastic H∞ state feedback control problem for a class of discrete-time singular systems with state and disturbance dependent noise. Two stochastic bounded real lemmas (SBRLs) are proposed via strict linear matrix inequalities (LMIs). Based on the obtained SBRLs, a...

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Main Authors: Yong Zhao, Xiushan Jiang, Weihai Zhang
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/4173852
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spelling doaj-585f26ec940f4c659c029b45388b24742020-11-24T23:37:33ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/41738524173852Stochastic H∞ Control for Discrete-Time Singular Systems with State and Disturbance Dependent NoiseYong Zhao0Xiushan Jiang1Weihai Zhang2College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Information and Control Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaThis paper is concerned with the stochastic H∞ state feedback control problem for a class of discrete-time singular systems with state and disturbance dependent noise. Two stochastic bounded real lemmas (SBRLs) are proposed via strict linear matrix inequalities (LMIs). Based on the obtained SBRLs, a state feedback H∞ controller is presented, which not only guarantees the resulting closed-loop system to be mean square admissible but also satisfies a prescribed H∞ performance level. A numerical example is finally given to illustrate the effectiveness of the proposed theoretical results.http://dx.doi.org/10.1155/2017/4173852
collection DOAJ
language English
format Article
sources DOAJ
author Yong Zhao
Xiushan Jiang
Weihai Zhang
spellingShingle Yong Zhao
Xiushan Jiang
Weihai Zhang
Stochastic H∞ Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise
Discrete Dynamics in Nature and Society
author_facet Yong Zhao
Xiushan Jiang
Weihai Zhang
author_sort Yong Zhao
title Stochastic H∞ Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise
title_short Stochastic H∞ Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise
title_full Stochastic H∞ Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise
title_fullStr Stochastic H∞ Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise
title_full_unstemmed Stochastic H∞ Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise
title_sort stochastic h∞ control for discrete-time singular systems with state and disturbance dependent noise
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2017-01-01
description This paper is concerned with the stochastic H∞ state feedback control problem for a class of discrete-time singular systems with state and disturbance dependent noise. Two stochastic bounded real lemmas (SBRLs) are proposed via strict linear matrix inequalities (LMIs). Based on the obtained SBRLs, a state feedback H∞ controller is presented, which not only guarantees the resulting closed-loop system to be mean square admissible but also satisfies a prescribed H∞ performance level. A numerical example is finally given to illustrate the effectiveness of the proposed theoretical results.
url http://dx.doi.org/10.1155/2017/4173852
work_keys_str_mv AT yongzhao stochastichcontrolfordiscretetimesingularsystemswithstateanddisturbancedependentnoise
AT xiushanjiang stochastichcontrolfordiscretetimesingularsystemswithstateanddisturbancedependentnoise
AT weihaizhang stochastichcontrolfordiscretetimesingularsystemswithstateanddisturbancedependentnoise
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