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Reseach Article

A New Sliding Surface for Discrete Second Order Sliding Mode Control for Time Delay Systems with Time Varying Uncertainties

by Abdennebi Nizar, Ahmed Said Nouri
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 52 - Number 21
Year of Publication: 2012
Authors: Abdennebi Nizar, Ahmed Said Nouri
10.5120/8334-1857

Abdennebi Nizar, Ahmed Said Nouri . A New Sliding Surface for Discrete Second Order Sliding Mode Control for Time Delay Systems with Time Varying Uncertainties. International Journal of Computer Applications. 52, 21 ( August 2012), 16-22. DOI=10.5120/8334-1857

@article{ 10.5120/8334-1857,
author = { Abdennebi Nizar, Ahmed Said Nouri },
title = { A New Sliding Surface for Discrete Second Order Sliding Mode Control for Time Delay Systems with Time Varying Uncertainties },
journal = { International Journal of Computer Applications },
issue_date = { August 2012 },
volume = { 52 },
number = { 21 },
month = { August },
year = { 2012 },
issn = { 0975-8887 },
pages = { 16-22 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume52/number21/8334-1857/ },
doi = { 10.5120/8334-1857 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:52:50.816488+05:30
%A Abdennebi Nizar
%A Ahmed Said Nouri
%T A New Sliding Surface for Discrete Second Order Sliding Mode Control for Time Delay Systems with Time Varying Uncertainties
%J International Journal of Computer Applications
%@ 0975-8887
%V 52
%N 21
%P 16-22
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this work, a discrete second order sliding mode control with a new sliding function for a linear uncertain system with state delay is proposed. The systems are assumed to have structured mismatched time varying uncertainties. Firstly, a new sliding function include a present and a past value of the state, called dynamic surface, is designed by means of linear matrix inequalities (LMI). Then, a robust discrete second order sliding mode controller with this new function is investigated to overcome the effect of time delay and uncertainties in the closed loop. A numerical example illustrates the effectiveness and the advantages of the proposed approach.

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Index Terms

Computer Science
Information Sciences

Keywords

Discrete Time Delay Systems Mismatched Time varying Uncertainties Dynamic Sliding Function Second Order Sliding Mode Control