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EDP Sciences, ESAIM: Control, Optimisation and Calculus of Variations, (26), p. 57, 2020

DOI: 10.1051/cocv/2019073

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Multiplicity-Induced-Dominancy in parametric second-order delay differential equations: Analysis and application in control design

This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

This work revisits recent results on maximal multiplicity induced-dominancy for spectral values in reduced-order time-delay systems and extends it to the general class of second-order retarded differential equations. A parametric multiplicity-induced-dominancy property is characterized, allowing to a delayed stabilizing design with reduced complexity. As a matter of fact, the approach is merely a delayed-output-feedback where the candidates’ delays and gains result from the manifold defining the maximal multiplicity of a real spectral value, then, the dominancy is shown using the argument principle. Sensitivity of the control design with respect to the parameters uncertainties/variation is discussed. Various reduced order examples illustrate the applicative perspectives of the approach.