Global asymptotic stabilization for chains of integrators with a delay in the input

Frédéric Mazenc (1) , Sabine Mondié (2) , Silviu-Iulian Niculescu (3)

1 INRIA Lorraine
2 CINVESTAV-IPN - Departamento de Control Automático
3 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]

The problem of the global uniform asymptotic stabilization by bounded feedback of a chain of integrators with a delay in the input is solved. No limitation on the size of the delay is imposed. To validate the approach, a third-order example is presented.

Mots clés: Bounded feedback; Chain of integrators; Time-delay systems

Domaines: Automatique / Robotique

Frédéric Mazenc, Sabine Mondié, Silviu-Iulian Niculescu. Global asymptotic stabilization for chains of integrators with a delay in the input. IEEE Transactions on Automatic Control, 2003, 48 (1), pp.57-63. ⟨10.1109/TAC.2002.806654⟩. ⟨hal-02294781⟩