Lp-norm boundedness conditions of stable Davidson-Cole filters

Abstract : This paper starts by investigating the boundedness conditions of the L2-norm of the impulse response of Davidson- Cole type fractional filters cascaded with pure fractional inte- grators. Then, it extends these boundedness conditions to the Lp-norms, with 1 ≤ p ≤ ∞. An illustrative example is then presented. It allows evaluating the integral squared error of a CRONE control loop and compares it to a classical proportional- derivative controller on a parameter varying system.
Type de document :
Communication dans un congrès
2014 International Conference on Fractional Differentiation and its Applications (ICFDA), Jun 2014, Catania, France. IEEE, 2014 International Conference on Fractional Differentiation and its Applications (ICFDA), 2014, 〈10.1109/ICFDA.2014.6967390〉
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https://hal.archives-ouvertes.fr/hal-01709572
Contributeur : Christophe Farges <>
Soumis le : jeudi 15 février 2018 - 10:11:03
Dernière modification le : vendredi 16 février 2018 - 19:10:01

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Rachid Malti, Mathieu Chevrié, Christophe Farges, Jocelyn Sabatier. Lp-norm boundedness conditions of stable Davidson-Cole filters. 2014 International Conference on Fractional Differentiation and its Applications (ICFDA), Jun 2014, Catania, France. IEEE, 2014 International Conference on Fractional Differentiation and its Applications (ICFDA), 2014, 〈10.1109/ICFDA.2014.6967390〉. 〈hal-01709572〉

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