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Observer Design for a Class of Nonlinear Discrete Time Systems: Real Time Application to the One-link Flexible Joint Robot

by Assem Thabet, Noussaiba Gasmi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 179 - Number 37
Year of Publication: 2018
Authors: Assem Thabet, Noussaiba Gasmi
10.5120/ijca2018916875

Assem Thabet, Noussaiba Gasmi . Observer Design for a Class of Nonlinear Discrete Time Systems: Real Time Application to the One-link Flexible Joint Robot. International Journal of Computer Applications. 179, 37 ( Apr 2018), 1-6. DOI=10.5120/ijca2018916875

@article{ 10.5120/ijca2018916875,
author = { Assem Thabet, Noussaiba Gasmi },
title = { Observer Design for a Class of Nonlinear Discrete Time Systems: Real Time Application to the One-link Flexible Joint Robot },
journal = { International Journal of Computer Applications },
issue_date = { Apr 2018 },
volume = { 179 },
number = { 37 },
month = { Apr },
year = { 2018 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume179/number37/29279-2018916875/ },
doi = { 10.5120/ijca2018916875 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:57:39.123004+05:30
%A Assem Thabet
%A Noussaiba Gasmi
%T Observer Design for a Class of Nonlinear Discrete Time Systems: Real Time Application to the One-link Flexible Joint Robot
%J International Journal of Computer Applications
%@ 0975-8887
%V 179
%N 37
%P 1-6
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper demonstrates the observer design for large class of nonlinear discrete time systems. The use of the differential mean value theorem (DMVT) allows transforming the nonlinear error dynamics into a linear parameter varying (LPV) system. This has the advantage of introducing a general condition on the nonlinear functions. To ensure asymptotic stability, sufficient conditions are expressed in terms of linear matrix inequalities (LMIs). For comparison, an observer based on the use of the one-sided Lipschitz condition is introduced. High performances are shown through real time implementation of the one-link flexible joint robot to ARDUINO MEGA 2560 device.

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Index Terms

Computer Science
Information Sciences

Keywords

Discrete time systems DMVT One-sided Lipschitz condition Quadratic inner-boundedness LMIs

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