An LMI-based functional estimation scheme of large-scale time-delay systems with strong interconnections

Leong, Wei Yin, Trinh, Hieu and Hien, Le Van 2016, An LMI-based functional estimation scheme of large-scale time-delay systems with strong interconnections, Journal of the Franklin institute, vol. 353, no. 11, pp. 2482-2510, doi: 10.1016/j.jfranklin.2016.04.017.

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Title An LMI-based functional estimation scheme of large-scale time-delay systems with strong interconnections
Author(s) Leong, Wei Yin
Trinh, HieuORCID iD for Trinh, Hieu
Hien, Le Van
Journal name Journal of the Franklin institute
Volume number 353
Issue number 11
Start page 2482
End page 2510
Total pages 29
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2016-07
ISSN 0016-0032
Keyword(s) Science & Technology
Physical Sciences
Automation & Control Systems
Engineering, Multidisciplinary
Engineering, Electrical & Electronic
Mathematics, Interdisciplinary Applications
Summary In this paper, the problem of distributed functional state observer design for a class of large-scale interconnected systems in the presence of heterogeneous time-varying delays in the interconnections and the local state vectors is considered. The resulting observer scheme is suitable for strongly coupled subsystems with multiple time-varying delays, and is shown to give better results for systems with very strong interconnections while only some mild existence conditions are imposed. A set of existence conditions are derived along with a computationally simple observer constructive procedure. Based on the Lyapunov-Krasovskii functional method (LKF) in the framework of linear matrix inequalities (LMIs), delay-dependent conditions are derived to obtain the observer parameters ensuring the exponential convergence of the observer error dynamics. The effectiveness of the obtained results is illustrated and tested through a numerical example of a three-area interconnected system.
Language eng
DOI 10.1016/j.jfranklin.2016.04.017
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 Franklin Institute.
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