On the Stabilization of Systems with Bounded and Delayed 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 globally asymptotically stabilizing by bounded feedback an oscillator with an arbitrary large delay in the input is solved. A first solution follows from a general result on the global stabilization of null controllable linear systems with delay in the input by bounded control laws with a distributed term. Next, it is shown through a Lyapunoy analysis that the stabilization can be achieved as well when neglecting the distributed tenns. It turns out that this main result is intimately related to the output feedback stabilization problem.

Mots clés: State Feedback; Global Stabilization; Output Feedback; Spectrum Assignment; Smith Predictor

Domaines: Automatique / Robotique

Frédéric Mazenc, Sabine Mondié, Silviu-Iulian Niculescu. On the Stabilization of Systems with Bounded and Delayed Input. Silviu Iulian Niculescu; Keqin Gu. Advances in time-delay systems, 38, Springer Berlin Heidelberg, pp.111-122, 2004, Lecture Notes in Computational Science and Engineering, 978-3-642-18482-6. ⟨10.1007/978-3-642-18482-6_8⟩. ⟨hal-02329796⟩