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Unknown input observer design for one-sided Lipschitz discrete-time systems subject to time-delay

Nguyen, Minh Cuong and Trinh, Hieu 2016, Unknown input observer design for one-sided Lipschitz discrete-time systems subject to time-delay, Applied mathematics and computation, vol. 286, pp. 57-71, doi: 10.1016/j.amc.2016.04.003.

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Title Unknown input observer design for one-sided Lipschitz discrete-time systems subject to time-delay
Author(s) Nguyen, Minh Cuong
Trinh, HieuORCID iD for Trinh, Hieu orcid.org/0000-0003-3438-9969
Journal name Applied mathematics and computation
Volume number 286
Start page 57
End page 71
Total pages 15
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2016-08-05
ISSN 0096-3003
Keyword(s) Simultanous stimation
Nonlinear systems
One-sided lipschitz condition
Unknown inputs
Time-delay
Linear matrix inequality (LMI)
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Simultaneous estimation
REDUCED-ORDER OBSERVERS
NONLINEAR-SYSTEMS
LINEAR-SYSTEMS
STATE
Summary In this paper, we address the problem of unknown input observer design, which simultaneously estimates state and unknown input, of a class of nonlinear discrete-time systems with time-delay. A novel approach to the state estimation problem of nonlinear systems where the nonlinearities satisfy the one-sided Lipschitz and quadratically inner-bounded conditions is proposed. This approach also allows us to reconstruct the unknown inputs of the systems. The nonlinear system is first transformed to a new system which can be decomposed into unknown-input-free and unknown-input-dependent subsystems. The estimation problem is then reduced to designing observer for the unknown-input-free subsystem. Rather than full-order observer design, in this paper, we propose observer design of reduced-order which is more practical and cost effective. By utilizing several mathematical techniques, the time-delay issue as well as the bilinear terms, which often emerge when designing observers for nonlinear discrete-time systems, are handled and less conservative observer synthesis conditions are derived in the linear matrix inequalities form. Two numerical examples are given to show the efficiency and high performance of our results.
Language eng
DOI 10.1016/j.amc.2016.04.003
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, Elsevier
Persistent URL http://hdl.handle.net/10536/DRO/DU:30084143

Document type: Journal Article
Collection: School of Engineering
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