On the stabilization of input delayed oscillators

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 globally asymptotically stabilizing by bounded feedback an oscillator with an arbitrary delay in the input is solved. A first solution is deduced from a general result on the global stabilization of null controllable linear systems with delay in the input through bounded control laws with a distributed term. Then it is shown through a Lyapunov analysis that the stabilization can be achieved as well when is neglected the distributed terms. It turns out that this result is intimately related to the issue of the output feedback stabilization of oscillators.

Mots clés: Feedback; Friction; Linear control systems; Lyapunov methods; Mathematical models; Oscillators (electronic); Input delayed oscillators; Null controllable system; Output feedback stabilization; Asymptotic stability

Domaines: Automatique / Robotique

Frédéric Mazenc, Sabine Mondié, Silviu-Iulian Niculescu. On the stabilization of input delayed oscillators. 41st IEEE Conference on Decision and Control, Dec 2002, Las Vegas, NV, United States. pp.1780-1785. ⟨hal-02295737⟩