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Adaptive Internal Model Control with fractional order parameter |
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| Authors: | S Ladaci J J Loiseau A Charef |
| Affiliation: | 1. Skikda ‘20th August 1955’ University, Electrical Engineering Department, BP: 26, Skikda 21000, Algeria;2. IRCCyN UMR CNRS 6597, Ecole Centrale de Nantes, 1, rue de la No?, BP: 92101, Nantes 44321, France;3. Mentouri University, Electronics Department, Route de Ain El‐Bey, Constantine 25000, Algeria |
| Abstract: | In this paper we have introduced as a model in the adaptive Internal Model Control (IMC) structure a fractional order system to obtain a fractional adaptive IMC scheme. We have shown that this adaptive control scheme always provides theoretical guarantees of stability when a stable fractional order transfer function is used as an IMC parameter and that the use of this fractional IMC parameter can improve the performances of the control system along with its robustness against noises. A comparative simulation example is given to illustrate the efficiency of the proposed fractional order adaptive control scheme. Copyright © 2010 John Wiley & Sons, Ltd. |
| Keywords: | adaptive Internal Model Control fractional system IMC parameter singularity function method fractional adaptive control robustness |