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Full-order observer design for nonlinear complex large-scale systems with unknown time-varying delayed interactions

Phat, Vu N., Thanh, Nguyen T. and Trinh, Hieu Minh 2015, Full-order observer design for nonlinear complex large-scale systems with unknown time-varying delayed interactions, Complexity, vol. 21, no. 2, November-December, pp. 123-133, doi: 10.1002/cplx.21584.

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Title Full-order observer design for nonlinear complex large-scale systems with unknown time-varying delayed interactions
Author(s) Phat, Vu N.
Thanh, Nguyen T.
Trinh, Hieu MinhORCID iD for Trinh, Hieu Minh orcid.org/0000-0003-3438-9969
Journal name Complexity
Volume number 21
Issue number 2
Season November-December
Start page 123
End page 133
Total pages 11
Publisher Wiley
Place of publication London, Eng.
Publication date 2015-11
ISSN 1076-2787
Keyword(s) large-scale systems
state observer
stability
delayed interactions
Lyapunov functions
linear matrix inequalities
Summary This article is concerned with the problem of state observer for complex large-scale systems with unknown time-varying delayed interactions. The class of large-scale interconnected systems under consideration is subjected to interval time-varying delays and nonlinear perturbations. By introducing a set of argumented Lyapunov–Krasovskii functionals and using a new bounding estimation technique, novel delay-dependent conditions for existence of state observers with guaranteed exponential stability are derived in terms of linear matrix inequalities (LMIs). In our design approach, the set of full-order Luenberger-type state observers are systematically derived via the use of an efficient LMI-based algorithm. Numerical examples are given to illustrate the effectiveness of the result
Language eng
DOI 10.1002/cplx.21584
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
HERDC collection year 2014
Copyright notice ©2014, Wiley-Blackwell
Persistent URL http://hdl.handle.net/10536/DRO/DU:30069411

Document type: Journal Article
Collection: School of Engineering
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