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Flat output computation for fractional linear systems: application to a thermal system

Abstract : The flatness property is studied for linear time-invariant fractional systems. In the framework of polynomial matrices of the fractional derivative operator, we give a characterization of fractionally flat outputs and a simple algorithm to compute them. These results are applied to a bidimensional thermal system approximated by a fractional transfer function of order 1/2. Temperature trajectory planning at a given point is then deduced without integration of the system equations.
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https://hal.archives-ouvertes.fr/hal-00978560
Contributor : Stéphane Victor <>
Submitted on : Monday, April 14, 2014 - 12:32:47 PM
Last modification on : Thursday, April 9, 2020 - 5:08:12 PM

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Stéphane Victor, Pierre Melchior, Jean Lévine, Alain Oustaloup. Flat output computation for fractional linear systems: application to a thermal system. 19th IFAC World Congress (IFAC'14), Aug 2014, Cape Town, South Africa. pp.2891-2896, ⟨10.3182/20140824-6-ZA-1003.01911⟩. ⟨hal-00978560⟩

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