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

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.
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Submitted on : Friday, December 20, 2019 - 12:49:07 PM
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Islam Boussaada, Silviu-Iulian Niculescu, Ali El Ati, Redamy Pérez-Ramos, Karim Liviu Trabelsi. Multiplicity-Induced-Dominancy in parametric second-order delay differential equations: Analysis and application in control design. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, In press, ⟨10.1051/cocv/2019073⟩. ⟨hal-02421253⟩

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