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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.
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https://hal.archives-ouvertes.fr/hal-01709572
Contributor : Christophe Farges <>
Submitted on : Thursday, February 15, 2018 - 10:11:03 AM
Last modification on : Tuesday, March 31, 2020 - 2:12:19 PM

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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. ⟨10.1109/ICFDA.2014.6967390⟩. ⟨hal-01709572⟩

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