Observer design for one-sided Lipschitz discrete-time systems subject to delays and unknown inputs

Nguyen, Minh Cuong and Trinh, Hieu 2016, Observer design for one-sided Lipschitz discrete-time systems subject to delays and unknown inputs, SIAM journal on control and optimization, vol. 54, no. 3, pp. 1585-1601, doi: 10.1137/15M1030182.

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Title Observer design for one-sided Lipschitz discrete-time systems subject to delays and unknown inputs
Author(s) Nguyen, Minh Cuong
Trinh, HieuORCID iD for Trinh, Hieu
Journal name SIAM journal on control and optimization
Volume number 54
Issue number 3
Start page 1585
End page 1601
Total pages 17
Publisher Society for Industrial and Applied Mathematics
Place of publication Philadelphia, Pa.
Publication date 2016
ISSN 0363-0129
Keyword(s) nonlinear observers
one-sided Lipschitz condition
discrete-time nonlinear systems
time-delay systems
unknown inputs
linear matrix inequality
Summary In this paper, we address the problem of observer design for a class of nonlinear discrete-time systems in the presence of delays and unknown inputs. The nonlinearities studied in this work satisfy the one-sided Lipschitz and quadratically inner-bounded conditions which are more general than the traditional Lipschitz conditions. Both H∞ observer design and asymptotic observer design with reduced-order are considered. The designs are novel compared to other relevant nonlinear observer designs subject to time delays and disturbances in the literature. In order to deal with the time-delay issue as well as the bilinear terms which usually appear in the problem of designing observers for discrete-time systems, several mathematical techniques are utilized to deduce observer synthesis conditions in the linear matrix inequalities form. A numerical example is given to demonstrate the effectiveness and high performance of our results.
Language eng
DOI 10.1137/15M1030182
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, Society for Industrial and Applied Mathematics
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Collection: School of Engineering
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