Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing Measurements

Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing Measurements

This paper is devoted to the problems of gain-scheduled control for a class of discrete-time stochastic systems with infinite-distributed delays and missing measurements by utilizing probability-dependent Lyapunov functional. The missing-measurement phenomenon is assumed to occur in a random way, an...

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Main Authors: Wangyan Li, Guoliang Wei, Licheng Wang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/696742
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spelling doaj-b6a9d56d2e0b4089a5b55f65d4b614522020-11-24T23:21:10ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/696742696742Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing MeasurementsWangyan Li0Guoliang Wei1Licheng Wang2Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, ChinaDepartment of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, ChinaDepartment of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, ChinaThis paper is devoted to the problems of gain-scheduled control for a class of discrete-time stochastic systems with infinite-distributed delays and missing measurements by utilizing probability-dependent Lyapunov functional. The missing-measurement phenomenon is assumed to occur in a random way, and the missing probability is time varying with securable upper and lower bounds that can be measured in real time. The purpose is to design a static output feedback controller with scheduled gains such that, for the admissible random missing measurements, time delays, and noises, the closed-loop system is exponentially mean-square stable. At last, a simulation example is exploited to illustrate the effectiveness of the proposed design procedures.http://dx.doi.org/10.1155/2012/696742
collection DOAJ
language English
format Article
sources DOAJ
author Wangyan Li
Guoliang Wei
Licheng Wang
spellingShingle Wangyan Li
Guoliang Wei
Licheng Wang
Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing Measurements
Mathematical Problems in Engineering
author_facet Wangyan Li
Guoliang Wei
Licheng Wang
author_sort Wangyan Li
title Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing Measurements
title_short Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing Measurements
title_full Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing Measurements
title_fullStr Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing Measurements
title_full_unstemmed Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing Measurements
title_sort probability-dependent static output feedback control for discrete-time nonlinear stochastic systems with missing measurements
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2012-01-01
description This paper is devoted to the problems of gain-scheduled control for a class of discrete-time stochastic systems with infinite-distributed delays and missing measurements by utilizing probability-dependent Lyapunov functional. The missing-measurement phenomenon is assumed to occur in a random way, and the missing probability is time varying with securable upper and lower bounds that can be measured in real time. The purpose is to design a static output feedback controller with scheduled gains such that, for the admissible random missing measurements, time delays, and noises, the closed-loop system is exponentially mean-square stable. At last, a simulation example is exploited to illustrate the effectiveness of the proposed design procedures.
url http://dx.doi.org/10.1155/2012/696742
work_keys_str_mv AT wangyanli probabilitydependentstaticoutputfeedbackcontrolfordiscretetimenonlinearstochasticsystemswithmissingmeasurements
AT guoliangwei probabilitydependentstaticoutputfeedbackcontrolfordiscretetimenonlinearstochasticsystemswithmissingmeasurements
AT lichengwang probabilitydependentstaticoutputfeedbackcontrolfordiscretetimenonlinearstochasticsystemswithmissingmeasurements
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