Abstract : We consider multi-input single-output (MISO) fractional systems of commensurate fractional orders with different input or output delays. We derive explicit expressions of left and right coprime factorizations over H∞ and of the associated Bézout factors of the transfer matrix of the systems. These factors allow the construction of the Youla-Kučera parametrization of the set of stabilizing controllers which guarantee the internal stability of the closed-loop systems.
https://hal.inria.fr/hal-01627128
Contributor : Catherine Bonnet
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Submitted on : Sunday, January 21, 2018 - 5:19:01 PM
Last modification on : Thursday, April 5, 2018 - 12:30:14 PM
Long-term archiving on : Thursday, May 24, 2018 - 7:53:56 AM
