Practical stabilization of nonlinear systems with state-dependent sampling and retarded inputs.

Frédéric Mazenc (1, 2) , Claudio de Persis (3) , Mounir Bekaïk (1)

1 L2S - Laboratoire des signaux et systèmes
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
3 DIS - Dipartimento di Informatica e Sistemistica "Antonio Ruberti"

A solution to the problem of stabilizing nonlinear systems with input with a constant pointwise delay and state- dependent sampling is proposed. It relies on a recursive construction of the sampling instants and on a recent variant of the classical reduction model approach. State feedbacks without distributed terms are obtained. A lower bound on the maximal allowable delay is determined via a Lyapunov- Krasovskii analysis.

Domaines: Automatique

Frédéric Mazenc, Claudio de Persis, Mounir Bekaïk. Practical stabilization of nonlinear systems with state-dependent sampling and retarded inputs.. 2012 American Control Conference, Jun 2012, Montreal, Canada. ⟨hal-00761269⟩