Stabilization of MISO fractional systems with delays
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.
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