On the notion of strong relative degree and its implications on the design of extended PD-controllers for time-delay systems

On the notion of strong relative degree and its implications on the design of extended PD-controllers for time-delay systems

The fundamental notion of relative degree is studied for a class of linear time-delay systems of retarded type, where the standard assumption of commensurate delays is dropped. Even though the analyzed systems do not have a non-trivial feedthrough from input to output, it is shown that the relative...

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Bibliographic Details
Published in:2023 European Control Conference (ECC) pp. 1 - 6
Main Authors: Zhou, Wim Michiels, Zhou, Bin
Format: Conference Proceeding
Language:English
Published: EUCA 13-06-2023
Subjects:
Delays
Europe
PD control
Perturbation methods
Online Access:Get full text
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Summary:The fundamental notion of relative degree is studied for a class of linear time-delay systems of retarded type, where the standard assumption of commensurate delays is dropped. Even though the analyzed systems do not have a non-trivial feedthrough from input to output, it is shown that the relative degree may be sensitive to infinitesimal delay perturbations. This observation is at the basis of a novel notion of relative degree, called strong relative degree, which is characterized algebraically and computationally. It plays a key role in guaranteeing well-posedness of systems controlled with extended PD controllers, for which a design procedure and numerical experiments are presented.
DOI:10.23919/ECC57647.2023.10178286