Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay

© The Institution of Engineering and Technology 2017. Finite-time stabilisation involves finding state feedback controllers which stabilise the closed-loop system in a finitetime interval. This paper deals with robust finite-time stabilisation of linear singular systems with interval time-varying de...

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Main Authors: Nguyen H. Muoi, Vu N. Phat, Piyapong Niamsup
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/57072
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-570722018-09-05T03:44:39Z Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay Nguyen H. Muoi Vu N. Phat Piyapong Niamsup Computer Science Engineering Mathematics © The Institution of Engineering and Technology 2017. Finite-time stabilisation involves finding state feedback controllers which stabilise the closed-loop system in a finitetime interval. This paper deals with robust finite-time stabilisation of linear singular systems with interval time-varying delay. Based on singular value decomposition method and a generalised Jensen inequality, we provide sufficient conditions for the design of such controllers guaranteeing the finite-time stability of the closed-loop system. The proposed conditions are expressed in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the proposed methods. 2018-09-05T03:34:34Z 2018-09-05T03:34:34Z 2017-08-11 Journal 17518652 17518644 2-s2.0-85024499248 10.1049/iet-cta.2017.0048 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85024499248&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57072
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Computer Science
Engineering
Mathematics
spellingShingle Computer Science
Engineering
Mathematics
Nguyen H. Muoi
Vu N. Phat
Piyapong Niamsup
Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay
description © The Institution of Engineering and Technology 2017. Finite-time stabilisation involves finding state feedback controllers which stabilise the closed-loop system in a finitetime interval. This paper deals with robust finite-time stabilisation of linear singular systems with interval time-varying delay. Based on singular value decomposition method and a generalised Jensen inequality, we provide sufficient conditions for the design of such controllers guaranteeing the finite-time stability of the closed-loop system. The proposed conditions are expressed in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the proposed methods.
format Journal
author Nguyen H. Muoi
Vu N. Phat
Piyapong Niamsup
author_facet Nguyen H. Muoi
Vu N. Phat
Piyapong Niamsup
author_sort Nguyen H. Muoi
title Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay
title_short Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay
title_full Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay
title_fullStr Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay
title_full_unstemmed Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay
title_sort criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85024499248&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/57072
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