Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates

This study addresses the stabilization condition for Markovian jump systems with quantized input and generally uncertain transition rates. To stabilize Markovian jump systems with nonlinear inputs using only partial knowledge regarding to the transition rates, the proposed controller is designed as...

Full description

Bibliographic Details
Main Authors:	Won Il Lee, Bum Yong Park
Format:	Article
Language:	English
Published:	IEEE 2021-01-01
Series:	IEEE Access
Subjects:	Linear matrix inequality Markovian jump system quantized input uncertain transition rate
Online Access:	https://ieeexplore.ieee.org/document/9446841/

id	doaj-f76711332181410ab31a724bd49b814a
record_format	Article
spelling	doaj-f76711332181410ab31a724bd49b814a2021-06-14T23:01:28ZengIEEEIEEE Access2169-35362021-01-019834998350610.1109/ACCESS.2021.30865049446841Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition RatesWon Il Lee0https://orcid.org/0000-0002-0851-3113Bum Yong Park1https://orcid.org/0000-0001-9490-0365The Division of Electrical Engineering, Kumoh National Institute of Technology, Gumi-si, Republic of KoreaDepartment of IT Convergence Engineering, The Division of Electrical Engineering, Kumoh National Institute of Technology, Gumi-si, Republic of KoreaThis study addresses the stabilization condition for Markovian jump systems with quantized input and generally uncertain transition rates. To stabilize Markovian jump systems with nonlinear inputs using only partial knowledge regarding to the transition rates, the proposed controller is designed as two control parts: a linear control part for stabilizing the system and a nonlinear control part for eliminating undesirable effects from the quantized input. Moreover, an appropriate weighting method, using lower and upper bounds of the partial transition rate, is employed to derive a less conservative stability condition. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed controller.https://ieeexplore.ieee.org/document/9446841/Linear matrix inequalityMarkovian jump systemquantized inputuncertain transition rate
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Won Il Lee Bum Yong Park
spellingShingle	Won Il Lee Bum Yong Park Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates IEEE Access Linear matrix inequality Markovian jump system quantized input uncertain transition rate
author_facet	Won Il Lee Bum Yong Park
author_sort	Won Il Lee
title	Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates
title_short	Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates
title_full	Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates
title_fullStr	Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates
title_full_unstemmed	Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates
title_sort	stabilization of markovian jump systems with quantized input and generally uncertain transition rates
publisher	IEEE
series	IEEE Access
issn	2169-3536
publishDate	2021-01-01
description	This study addresses the stabilization condition for Markovian jump systems with quantized input and generally uncertain transition rates. To stabilize Markovian jump systems with nonlinear inputs using only partial knowledge regarding to the transition rates, the proposed controller is designed as two control parts: a linear control part for stabilizing the system and a nonlinear control part for eliminating undesirable effects from the quantized input. Moreover, an appropriate weighting method, using lower and upper bounds of the partial transition rate, is employed to derive a less conservative stability condition. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed controller.
topic	Linear matrix inequality Markovian jump system quantized input uncertain transition rate
url	https://ieeexplore.ieee.org/document/9446841/
work_keys_str_mv	AT wonillee stabilizationofmarkovianjumpsystemswithquantizedinputandgenerallyuncertaintransitionrates AT bumyongpark stabilizationofmarkovianjumpsystemswithquantizedinputandgenerallyuncertaintransitionrates
_version_	1721377869229195264

Stabilization of Markovian Jump Systems With Quantized Input and Generally Uncertain Transition Rates

Similar Items