Non-linear observer design for a class of singular time-delay systems with Lipschitz non-linearities

Nguyen, Minh Cuong, Trinh, Hieu and Nam, Phan Thanh 2017, Non-linear observer design for a class of singular time-delay systems with Lipschitz non-linearities, IMA Journal of mathematical control and information, vol. 34, no. 3, pp. 919-935, doi: 10.1093/imamci/dnw006.

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Title Non-linear observer design for a class of singular time-delay systems with Lipschitz non-linearities
Author(s) Nguyen, Minh Cuong
Trinh, HieuORCID iD for Trinh, Hieu
Nam, Phan Thanh
Journal name IMA Journal of mathematical control and information
Volume number 34
Issue number 3
Start page 919
End page 935
Total pages 17
Publisher Oxford University Press
Place of publication Oxford, Eng.
Publication date 2017-09-01
ISSN 0265-0754
Keyword(s) non-linear observers
singular systems
time-delay systems
linear parameter varying systems
linear matrix inequalities
Summary In this paper, we consider a class of time-delay singular systems with Lipschitz non-linearities. A method of designing full-order observers for the systems is presented which can handle non-linearities with large-Lipschitz constants. The Lipschitz conditions are reformulated into linear parameter varying systems, then the Lyapunov–Krasovskii approach and the convexity principle are applied to study stability of the new systems. Furthermore, the observers design does not require the assumption of regularity for singular systems. In case the systems are non-singular, a reduced-order observers design is proposed instead. In both cases, synthesis conditions for the observers designs are derived in terms of linear matrix inequalities which can be solved efficiently by numerical methods. The efficiency of the obtained results is illustrated by two numerical examples.
Language eng
DOI 10.1093/imamci/dnw006
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 ©2016, The Authors
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