On the minimum energy compensation for linear time-varying disturbed systems

We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems. The remediability concept consist to find a convenient c...

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Bibliographic Details
Main Authors: El Mostafa Magri, Chadi Amissi, Larbi Afifi, Mustapha Lhous
Format: Article
Language:English
Published: Polish Academy of Sciences 2022-12-01
Series:Archives of Control Sciences
Subjects:
Online Access:https://journals.pan.pl/Content/125431/PDF/4-Magri_int.pdf
Description
Summary:We consider in this work a class of finite dimensional time-varying linear disturbed systems. The main objective of this work is to studied the optimal control which ensures the remediability of a disturbance of time-varying disturbed systems. The remediability concept consist to find a convenient control which bringing back the corresponding observation of disturbed system to the normal one at the final time. We give firstly some characterisations of compensation and in second party we find a control which annul the output of the system and we show also that the Hilbert Uniqueness Method can be used to solve the optimal control which ensure the remediability.Ageneral approachwas given to minimize the linear quadratic problem. Examples and numerical simulations are given.
ISSN:1230-2384