Constructive backstepping for a class of delay systems based on functionals of complete type

Javier E Pereyra Zamudio (1) , Sabine Mondié Cuzange (1) , Frédéric Mazenc (2)

1 CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional
2 DISCO - Dynamical Interconnected Systems in COmplex Environments

In this paper we consider an alternative approach of the backstepping control strategy with the introduction of artificial delays combined with Lyapunov-Krasovskii functionals of complete type, thus allowing a constructive approach for the design of asymptotically stabilizing controls of linear systems with delay in the input and state that are too long for being neglected.

Mots clés: Linear systems; Delay systems; Lyapunov methods; Stability of delay systems

Domaines: Automatique

Javier E Pereyra Zamudio, Sabine Mondié Cuzange, Frédéric Mazenc. Constructive backstepping for a class of delay systems based on functionals of complete type. IFAC 2020 - 21st IFAC World Congress, Jul 2020, Berlin / Virtual, Germany. ⟨10.1016/j.ifacol.2020.12.1028⟩. ⟨hal-02566162⟩