On controlled-invariance and stabilization of time-delay systems

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Abstract

A non-conservative synthesis approach for discrete-time linear time-delay systems is presented, induced by a relaxed notion of invariance, namely, controlled (k, λ)-D-contractiveness. We characterize two particular families of controlled (k, λ)-contractive sets in the augmented state space of the corresponding delay-free system and establish their relationship to controlled (k, λ)-D-contractive sets of the time-delay system. The required computations for both the controller synthesis and controller implementation are carried in the state space of the time-delay system, making the method scalable with respect to the maximum delay.
Original languageEnglish
Title of host publication2014 European Control Conference
Publisher IEEE
Pages778-783
ISBN (Print)978-3-9524269-1-3
DOIs
Publication statusPublished - 24 Jul 2014

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