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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Bibliographic Details
Main Authors: Nguyen H. Muoi, Vu N. Phat, Piyapong Niamsup
Format: Journal
Published: 2018
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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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Summary:© 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.