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Erschienen in:
On the Codimension of the Singularity at the Origin for Networked Delay Systems Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

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

verfasst von : Sylvain Durand, Nicolas Marchand, J. Fermi Guerrero-Castellanos

Erschienen in: Delays and Networked Control Systems

Verlag: Springer International Publishing

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Abstract

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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Vorheriges Kapitel Model Reduction for Norm Approximation: An Application to Large-Scale Time-Delay Systems
Nächstes Kapitel Analysis of Bilinear Systems with Sampled-Data State Feedback
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Metadaten
Titel
General Formula for Event-Based Stabilization of Nonlinear Systems with Delays in the State
verfasst von
Sylvain Durand
Nicolas Marchand
J. Fermi Guerrero-Castellanos
Copyright-Jahr
2016
Buch
Delays and Networked Control Systems

Print ISBN: 978-3-319-32371-8

Electronic ISBN: 978-3-319-32372-5

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-32372-5_4

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