Towards a Decay Rate Assignment Based Design for Time-Delay Systems with Multiple Spectral Values

Islam Boussaada (1, 2, 3) , Silviu-Iulian Niculescu (1, 2) , Karim Trabelsi (3)

1 L2S - Laboratoire des signaux et systèmes
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
3 IPSA - Institut Polytechnique des Sciences Avancées

Recent results on maximal multiplicity induced-dominancy for spectral values in reduced-order Time-Delay Systems naturally apply in controllers design. 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. Various reduced order examples illustrate the applicative perspectives of the approach.

Domains: Engineering Sciences [physics]; Automatic; Mathematics [math]; Dynamical Systems [math.DS]

Islam Boussaada, Silviu-Iulian Niculescu, Karim Trabelsi. Towards a Decay Rate Assignment Based Design for Time-Delay Systems with Multiple Spectral Values. MTNS, Jul 2018, Hong Kong, China. ⟨hal-01957555⟩