International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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Volume 41 - Issue 11 |
Published: March 2012 |
Authors: Nabiha Touijer, Samira Kamoun |
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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 }, year = { 2012 }, volume = { 41 }, number = { 11 }, pages = { 44-51 }, doi = { 10.5120/5589-7837 }, publisher = { Foundation of Computer Science (FCS), NY, USA } }
%0 Journal Article %D 2012 %A Nabiha Touijer %A Samira Kamoun %T Robust Self-Tuning Regulator of Time-Varying Linear Systems with Bounded External Disturbances%T %J International Journal of Computer Applications %V 41 %N 11 %P 44-51 %R 10.5120/5589-7837 %I Foundation of Computer Science (FCS), NY, USA
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.