A New Design Method of an Internal Multi-Model Controller for a Linear Process with a Variable Time Delay

Mustapha Touzri(1*), Mongi Naceur(2), Dhaou Soudani(3)

(1) Laboratory of Reaserch on Automatics (LARA) of the National Engineering School of Tunis, Tunisia
(2) Laboratory of Reaserch on Automatics (LARA) of the National Engineering School of Tunis, Tunisia
(3) Laboratory of Reaserch on Automatics (LARA) of the National Engineering School of Tunis, Tunisia
(*) Corresponding author


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Abstract


This document introduces a new Internal Multi-Model controller design method for a linear system with a limited variable time delay. This design method, is based on the use of a models collection to approximate the system functioning using Padé approximations; these models are inversed and multiplied by low pass filters in order to obtain a set of controllers that calculate the command value through a fusion procedure. These controllers are obtained by the multiplication of a low pass filter’s and Model’s inverse’s, in order to impose poles and zeros and to control the command robustness through the filter’s parameters, which shall confirm a compromise between stability and rapidity. In this paper the Multi-Model Command controller design method will be described through six sections; first section introduces the realized research in this paper, the second section describes Internal Model Control concepts, third section describes the effects of presence of a time delay on systems dynamics, the fourth section shows briefly Multi-Model concepts, the fifth section presents the new Internal Multi-Model controller design Method and finally section six deals with the obtained results of the new controller design method application for a system with a limited variable time delay and the filters parameters variation effects.
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Keywords


Internal Model Control, Multi-Model approach, Internal Mutli-Model Control, System with a limited variable time delay, Padé approximation, Control of systems with time delay

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