Lyapunov event-triggered stabilization with a known convergence rate

Journal article (2020)

Authors

A.V. Proskurnikov Russian Academy of Sciences, Politecnico di Torino
M Mazo Espinosa Team Tamas Keviczky
Research Group
Team Tamas Keviczky
Copyright: © 2020 A.V. Proskurnikov, M. Mazo
DOI: https://doi.org/10.1109/TAC.2019.2907435
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Published Date

2020

Language

English

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Research Group

Team Tamas Keviczky

Abstract

A constructive tool of nonlinear control system design, the method of control Lyapunov functions (CLFs), has found numerous applications in stabilization problems for continuous-time, discrete-time, and hybrid systems. In this paper, we address the fundamental question: Given a CLF, corresponding to a continuous-time controller with some predefined (e.g., exponential) convergence rate, can the same convergence rate be provided by an event-triggered controller? Under certain assumptions, we give an affirmative answer to this question and show that the corresponding event-based controllers provide positive dwell times between consecutive events. Furthermore, we prove the existence of self-triggered and periodic event-triggered controllers, providing stabilization with a known convergence rate.

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