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Linear functional state bounding for perturbed time-delay systems and its application

Nam, Phan T.T, Pathirana, P. N. and Trinh, H. 2015, Linear functional state bounding for perturbed time-delay systems and its application, IMA Journal of mathematical control and information, vol. 32, pp. 245-255, doi: 10.1093/imamci/dnt039.

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Title Linear functional state bounding for perturbed time-delay systems and its application
Author(s) Nam, Phan T.T
Pathirana, P. N.ORCID iD for Pathirana, P. N. orcid.org/0000-0001-8014-7798
Trinh, H.ORCID iD for Trinh, H. orcid.org/0000-0003-3438-9969
Journal name IMA Journal of mathematical control and information
Volume number 32
Start page 245
End page 255
Total pages 11
Publisher Oxford University Press
Place of publication Oxford, Eng.
Publication date 2015-06
ISSN 0265-0754
1471-6887
Keyword(s) linear functional state bounding
perturbed time-delay systems
reachable sets
Summary This paper considers time-delay systems with bounded disturbances. We study a new problem of finding an upper bound of an absolute value function of any given linear functional of the state vector starting from the origin of the system. Based on the Lyapunov-Krasovskii method combining with the recent Wirtinger-based integral inequality that has just been proposed by Seuret & Gouaisbaut (2013. Wirtinger-based integral inequality: application to time-delay systems. Automatica, 49, 2860-2866), sufficient conditions for the existence of an upper bound of the function are derived. The obtained results are shown to be more effective than those adapted from the existing works on reachable set bounding. Furthermore, the obtained results are applied to refine existing ellipsoidal bounds of the reachable sets. The effectiveness of the obtained results is illustrated by two numerical examples.
Language eng
DOI 10.1093/imamci/dnt039
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
010204 Dynamical Systems in Applications
090602 Control Systems, Robotics and Automation
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Grant ID DP130101532
Copyright notice ©2015, Oxford University Press
Free to Read? Yes
Persistent URL http://hdl.handle.net/10536/DRO/DU:30069977

Document type: Journal Article
Collections: School of Engineering
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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.