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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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 |
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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 |
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© 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. |
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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 |
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2018 |
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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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