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
Subjects:	Engineering Mathematics Agricultural and Biological Sciences
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85024499248&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46647
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-466472018-04-25T07:21:30Z Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay Nguyen H. Muoi Vu N. Phat Piyapong Niamsup Engineering Mathematics Agricultural and Biological Sciences © 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. 2018-04-25T06:58:57Z 2018-04-25T06:58:57Z 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/6653943832/46647
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Engineering Mathematics Agricultural and Biological Sciences
spellingShingle	Engineering Mathematics Agricultural and Biological Sciences 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/6653943832/46647
_version_	1681422913244233728

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

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