Observer-Based Controller Design for Discrete-Time Markovian Jump Linear Systems With Partial Information

In this paper, the observer-based controller problem is considered for a class of discrete-time Markovian jump systems with partial information. We consider the situation that the parameters on Markov chain discussed in this paper may not be totally observed, which is different from the traditional...

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Main Authors:	Mo Liu, Guoliang Wang
Format:	Article
Language:	English
Published:	IEEE 2019-01-01
Series:	IEEE Access
Subjects:	Markovian jump systems observer-based controller partial information linear matrix inequalities (LMIs)
Online Access:	https://ieeexplore.ieee.org/document/8668745/

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spelling	doaj-85af587ec24c43bc9f279260409266d22021-04-05T17:02:14ZengIEEEIEEE Access2169-35362019-01-017411454115310.1109/ACCESS.2019.29059638668745Observer-Based Controller Design for Discrete-Time Markovian Jump Linear Systems With Partial InformationMo Liu0https://orcid.org/0000-0002-4420-4289Guoliang Wang1https://orcid.org/0000-0003-3236-2404School of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaIn this paper, the observer-based controller problem is considered for a class of discrete-time Markovian jump systems with partial information. We consider the situation that the parameters on Markov chain discussed in this paper may not be totally observed, which is different from the traditional case with complete information on Markov parameters. First, although the operating modes are not completely available, one kind of detector submitting the information on operating modes is provided. Then, a kind of observer and an observer-based controller are constructed in order to achieve the observation of system state and assure the stabilization of the closed-loop systems, respectively. At the same time, sufficient conditions on the existence of the observer and the corresponding controller are presented in terms of linear matrix inequalities (LMIs). Finally, the simulations illustrate the advantage and potential application of the proposed theoretical results.https://ieeexplore.ieee.org/document/8668745/Markovian jump systemsobserver-based controllerpartial informationlinear matrix inequalities (LMIs)
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mo Liu Guoliang Wang
spellingShingle	Mo Liu Guoliang Wang Observer-Based Controller Design for Discrete-Time Markovian Jump Linear Systems With Partial Information IEEE Access Markovian jump systems observer-based controller partial information linear matrix inequalities (LMIs)
author_facet	Mo Liu Guoliang Wang
author_sort	Mo Liu
title	Observer-Based Controller Design for Discrete-Time Markovian Jump Linear Systems With Partial Information
title_short	Observer-Based Controller Design for Discrete-Time Markovian Jump Linear Systems With Partial Information
title_full	Observer-Based Controller Design for Discrete-Time Markovian Jump Linear Systems With Partial Information
title_fullStr	Observer-Based Controller Design for Discrete-Time Markovian Jump Linear Systems With Partial Information
title_full_unstemmed	Observer-Based Controller Design for Discrete-Time Markovian Jump Linear Systems With Partial Information
title_sort	observer-based controller design for discrete-time markovian jump linear systems with partial information
publisher	IEEE
series	IEEE Access
issn	2169-3536
publishDate	2019-01-01
description	In this paper, the observer-based controller problem is considered for a class of discrete-time Markovian jump systems with partial information. We consider the situation that the parameters on Markov chain discussed in this paper may not be totally observed, which is different from the traditional case with complete information on Markov parameters. First, although the operating modes are not completely available, one kind of detector submitting the information on operating modes is provided. Then, a kind of observer and an observer-based controller are constructed in order to achieve the observation of system state and assure the stabilization of the closed-loop systems, respectively. At the same time, sufficient conditions on the existence of the observer and the corresponding controller are presented in terms of linear matrix inequalities (LMIs). Finally, the simulations illustrate the advantage and potential application of the proposed theoretical results.
topic	Markovian jump systems observer-based controller partial information linear matrix inequalities (LMIs)
url	https://ieeexplore.ieee.org/document/8668745/
work_keys_str_mv	AT moliu observerbasedcontrollerdesignfordiscretetimemarkovianjumplinearsystemswithpartialinformation AT guoliangwang observerbasedcontrollerdesignfordiscretetimemarkovianjumplinearsystemswithpartialinformation
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Observer-Based Controller Design for Discrete-Time Markovian Jump Linear Systems With Partial Information

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