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Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2020

Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design

Résumé

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.

Dates et versions

hal-04550525 , version 1 (17-04-2024)

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Islam Boussaada, Silviu-Iulian Niculescu, Ali El-Ati, Redamy Pérez-Ramos, Karim Trabelsi. Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design. ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.57. ⟨10.1051/cocv/2019073⟩. ⟨hal-04550525⟩
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