Design of robust controller for linear systems with Markovian jumping parameters

This paper deals with the robustness of the class of uncertain linear systems with Markovian jumping parameters (ULSMJP). The uncertainty is taken to be time-varying norm bounded. Under the assumptions of the boundedness of the uncertainties and the complete access to the system's state and it...

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Main Authors:	K. Benjelloun, E. K. Boukas, O. L. V. Costa, P. Shi
Format:	Article
Language:	English
Published:	Hindawi Limited 1998-01-01
Series:	Mathematical Problems in Engineering
Subjects:	Linear systems with Markovian jumping parameters; Stochastic stability; Markov process; Norm bounded uncertainties.
Online Access:	http://dx.doi.org/10.1155/S1024123X98000830

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spelling	doaj-bf4ecf2f5c6743e693b8efe5e1a608a32020-11-24T22:35:54ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51471998-01-014426928810.1155/S1024123X98000830Design of robust controller for linear systems with Markovian jumping parametersK. Benjelloun0E. K. Boukas1O. L. V. Costa2P. Shi3Mechanical Engineering Department, École Polytechnique de Montréal, P.O. Box 6079, Station “Centre-Ville”, Montréal H3C 3A7, Que., CanadaMechanical Engineering Department, École Polytechnique de Montréal, P.O. Box 6079, Station “Centre-Ville”, Montréal H3C 3A7, Que., CanadaUniversity of Sao Paulo, Department of Electronic Engineering, Sao Paulo 05508-900, SP, BrazilCentre for Industrial and Applicable Mathematics, The University of South Australia, SA 5095, AustraliaThis paper deals with the robustness of the class of uncertain linear systems with Markovian jumping parameters (ULSMJP). The uncertainty is taken to be time-varying norm bounded. Under the assumptions of the boundedness of the uncertainties and the complete access to the system's state and its modes, a sufficient condition for stochastic stabilizability of this class of systems is established. An example is provided to demonstrate the usefulness of the proposed theoretical results.http://dx.doi.org/10.1155/S1024123X98000830Linear systems with Markovian jumping parameters; Stochastic stability; Markov process; Norm bounded uncertainties.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	K. Benjelloun E. K. Boukas O. L. V. Costa P. Shi
spellingShingle	K. Benjelloun E. K. Boukas O. L. V. Costa P. Shi Design of robust controller for linear systems with Markovian jumping parameters Mathematical Problems in Engineering Linear systems with Markovian jumping parameters; Stochastic stability; Markov process; Norm bounded uncertainties.
author_facet	K. Benjelloun E. K. Boukas O. L. V. Costa P. Shi
author_sort	K. Benjelloun
title	Design of robust controller for linear systems with Markovian jumping parameters
title_short	Design of robust controller for linear systems with Markovian jumping parameters
title_full	Design of robust controller for linear systems with Markovian jumping parameters
title_fullStr	Design of robust controller for linear systems with Markovian jumping parameters
title_full_unstemmed	Design of robust controller for linear systems with Markovian jumping parameters
title_sort	design of robust controller for linear systems with markovian jumping parameters
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	1998-01-01
description	This paper deals with the robustness of the class of uncertain linear systems with Markovian jumping parameters (ULSMJP). The uncertainty is taken to be time-varying norm bounded. Under the assumptions of the boundedness of the uncertainties and the complete access to the system's state and its modes, a sufficient condition for stochastic stabilizability of this class of systems is established. An example is provided to demonstrate the usefulness of the proposed theoretical results.
topic	Linear systems with Markovian jumping parameters; Stochastic stability; Markov process; Norm bounded uncertainties.
url	http://dx.doi.org/10.1155/S1024123X98000830
work_keys_str_mv	AT kbenjelloun designofrobustcontrollerforlinearsystemswithmarkovianjumpingparameters AT ekboukas designofrobustcontrollerforlinearsystemswithmarkovianjumpingparameters AT olvcosta designofrobustcontrollerforlinearsystemswithmarkovianjumpingparameters AT pshi designofrobustcontrollerforlinearsystemswithmarkovianjumpingparameters
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Design of robust controller for linear systems with Markovian jumping parameters

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