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Linear functional observers with guaranteed ε-convergence for discrete time-delay systems with input/output disturbances

Nguyen, M. C., Trinh, H. and Nam, P. T. 2016, Linear functional observers with guaranteed ε-convergence for discrete time-delay systems with input/output disturbances, International journal of systems science, vol. 47, no. 13, pp. 3193-3205, doi: 10.1080/00207721.2015.1108474.

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Title Linear functional observers with guaranteed ε-convergence for discrete time-delay systems with input/output disturbances
Author(s) Nguyen, M. C.
Trinh, H.ORCID iD for Trinh, H. orcid.org/0000-0003-3438-9969
Nam, P. T.
Journal name International journal of systems science
Volume number 47
Issue number 13
Start page 3193
End page 3205
Total pages 13
Publisher Taylor & Francis
Place of publication London, Eng.
Publication date 2016
ISSN 0020-7721
1464-5319
Summary The problem of designing linear functional observers for discrete time-delay systems with unknown-but-bounded disturbances in both the plant and the output is considered for the first time in this paper. A novel approach to design a minimum-order observer is proposed to guarantee that the observer error is ϵ-convergent, which means that the estimate converges robustly within an ϵ-bound of the true state. Conditions for the existence of this observer are first derived. Then, by utilising an extended Lyapunov-Krasovskii functional and the free-weighting matrix technique, a sufficient condition for ϵ-convergence of the observer error system is given. This condition is presented in terms of linear matrix inequalities with two parameters needed to be tuned, so that it can be efficiently solved by incorporating a two-dimensional search method into convex optimisation algorithms to obtain the smallest possible value for ϵ. Three numerical examples, including the well-known single-link flexible joint robotic system, are given to illustrate the feasibility and effectiveness of our results.
Language eng
DOI 10.1080/00207721.2015.1108474
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
Copyright notice ©2015, Taylor & Francis
Persistent URL http://hdl.handle.net/10536/DRO/DU:30079793

Document type: Journal Article
Collection: School of Engineering
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