Some insights on rightmost spectral values assignment for time delay systems

Souad Amrane (1) , Islam Boussaada (2) , Fazia Bedouhene (3) , Silviu-Iulian Niculescu (2)

1 UMMTO - Université Mouloud Mammeri [Tizi Ouzou]
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
3 LMPA - Laboratoire de Mathématiques Pures et Appliquées [Tizi-Ouzou]

This paper investigates the stability and stabilization of some generic linear second-order time-invariant retarded system with single delay. It provides an appropriate stability criterion based on the manifold defined by the coexistence of the maximal number of negative spectral values. Next, such ideas are exploited in the context of delayed output feedback by an appropriate "partial" pole placement guaranteeing simultaneously the stability in closed-loop and an appropriate exponential decay rate. To perform such an analysis, the argument principle is explicitly used.

Mots clés: Time-delay systems; frequency-domain approaches; controller design; argument principle

Domaines: Automatique / Robotique; Systèmes dynamiques [math.DS]

Souad Amrane, Islam Boussaada, Fazia Bedouhene, Silviu-Iulian Niculescu. Some insights on rightmost spectral values assignment for time delay systems. IFAC 2020 - 21st IFAC World Congress, Jul 2020, Berlin / Virtual, Germany. ⟨10.1016/j.ifacol.2020.12.066⟩. ⟨hal-02889940⟩