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Robust Self-Tuning Regulator of Time-Varying Linear Systems with Bounded External Disturbances

by Nabiha Touijer, Samira Kamoun
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 41 - Number 11
Year of Publication: 2012
Authors: Nabiha Touijer, Samira Kamoun
10.5120/5589-7837

Nabiha Touijer, Samira Kamoun . Robust Self-Tuning Regulator of Time-Varying Linear Systems with Bounded External Disturbances. International Journal of Computer Applications. 41, 11 ( March 2012), 44-51. DOI=10.5120/5589-7837

@article{ 10.5120/5589-7837,
author = { Nabiha Touijer, Samira Kamoun },
title = { Robust Self-Tuning Regulator of Time-Varying Linear Systems with Bounded External Disturbances },
journal = { International Journal of Computer Applications },
issue_date = { March 2012 },
volume = { 41 },
number = { 11 },
month = { March },
year = { 2012 },
issn = { 0975-8887 },
pages = { 44-51 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume41/number11/5589-7837/ },
doi = { 10.5120/5589-7837 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:29:21.925319+05:30
%A Nabiha Touijer
%A Samira Kamoun
%T Robust Self-Tuning Regulator of Time-Varying Linear Systems with Bounded External Disturbances
%J International Journal of Computer Applications
%@ 0975-8887
%V 41
%N 11
%P 44-51
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The robust self-tuning regulator of a class of linear systems, which can be described by the input-output Auto-Regressive Moving Average with exogenous (ARMAX) mathematical model with unknown and time-varying parameters, at bounded external disturbances is developed. A scheme of polynomial approximation has been applied to approximate the unknown and time-varying parameters of systems. The modified recursive extended least squares RELS estimation algorithm with a relative dead zone is proposed and applied to estimate the unknown and time-varying parameters intervening in the ARMAX mathematical model. The formulation of the explicit schemes of self-tuning regulation problem is resolved by using the minimum variance output or the generalized minimum variance output. The obtained control law, which is an optimal solution of minimizing a correspondent criterion, permit to reduce the effect of noise upon the output of system. An example of numerical simulation illustrates the effectiveness of the explicit schemes of self-tuning regulator and presents the performances by using the modified recursive extended least squares estimation algorithm with a relative dead zone in a step of the parametric estimation of a linear time-varying systems.

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Index Terms

Computer Science
Information Sciences

Keywords

Polynomial Approximation Armax Mathematical Model Time-varying Parameters Modified Recursive Extended Least Squares Estimation Algorithm Rels With A Relative Dead Zone Self-tuning Regulator

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