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.6653943832-401772017-09-28T04:08:11Z Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay Muoi N. Phat V. Niamsup P. © 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. 2017-09-28T04:08:11Z 2017-09-28T04:08:11Z 12 Journal 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/6653943832/40177 |
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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. |
| format |
Journal |
| author |
Muoi N. Phat V. Niamsup P. |
| spellingShingle |
Muoi N. Phat V. Niamsup P. Criteria for robust finite-time stabilisation of linear singular systems with interval timevarying delay |
| author_facet |
Muoi N. Phat V. Niamsup P. |
| author_sort |
Muoi N. |
| 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 |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85024499248&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40177 |
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