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ε-bounded state estimation for time-delay systems with bounded disturbances

Nam, PT, Pathirana, PN and Trinh, H 2014, ε-bounded state estimation for time-delay systems with bounded disturbances, International journal of control, vol. 87, no. 9, pp. 1747-1756, doi: 10.1080/00207179.2014.884727.

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Title ε-bounded state estimation for time-delay systems with bounded disturbances
Author(s) Nam, PT
Pathirana, PNORCID iD for Pathirana, PN
Trinh, HORCID iD for Trinh, H
Journal name International journal of control
Volume number 87
Issue number 9
Start page 1747
End page 1756
Publisher Taylor and Francis
Place of publication Abingdon, England
Publication date 2014-09
ISSN 0020-7179
Keyword(s) time-delay systems
unknown bounded disturbances
ε-bounded state estimation
Summary A new problem on ε-bounded functional state estimation for time-delay systems with unknown bounded disturbances is studied in this paper. In the presence of unknown bounded disturbances, the common assumption regarding the observers matching condition is no longer required. In this regard, instead of achieving asymptotic convergence for the observer error, the error is now required to converge exponentially within a ball with a small radius ε > 0. This means that the estimate converges exponentially within an ε-bound of the true value. A general observer that utilises multiple-delayed output and input information is proposed. Sufficient conditions for the existence of the proposed observer are first given. We then employ an extended Lyapunov-Krasovskii functional which combines the delay-decomposition technique with a triple-integral term to study the ε-convergence problem of the observer error system. Moreover, the obtained results are shown to be more effective than the existing results for the cases with no disturbances and/or no time delay. Three numerical examples are given to illustrate the obtained results.
Language eng
DOI 10.1080/00207179.2014.884727
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
Copyright notice ©2014, Taylor and Francis
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Document type: Journal Article
Collection: School of Engineering
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Created: Tue, 02 Dec 2014, 15:06:01 EST

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