General Formula for Event-Based Stabilization of Nonlinear Systems with Delays in the State - Ecole Nationale du Génie de l'Eau et de l'Environnement de Strasbourg Accéder directement au contenu
Chapitre D'ouvrage Année : 2016

General Formula for Event-Based Stabilization of Nonlinear Systems with Delays in the State

Résumé

In this chapter, a universal formula is proposed for event-based stabilization of nonlinear systems affine in the control and with delays in the state. The feedback is derived from the seminal law proposed by E. Sontag (1989) and then extended to event-based control of affine nonlinear undelayed systems. Under the assumption of the existence of a control Lyapunov-Krasovskii functional (CLKF), the proposal enables smooth (except at the origin) asymptotic stabilization while ensuring that the sampling intervals do not contract to zero. Global asymptotic stability is obtained under the small control property assumption. Moreover, the control can be proved to be smooth anywhere under certain conditions. Simulation results highlight the ability of the proposed formula. The particular linear case is also discussed.
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Dates et versions

hal-01330818 , version 1 (13-06-2016)

Identifiants

Citer

Sylvain Durand, Nicolas Marchand, Jose Fermi Guerrero Castellanos. General Formula for Event-Based Stabilization of Nonlinear Systems with Delays in the State. Delays and Networked Control Systems, 6, Springer, pp.59-77, 2016, Advances in Delays and Dynamics, 978-3-319-32372-5. ⟨10.1007/978-3-319-32372-5_4⟩. ⟨hal-01330818⟩
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