Lyapunov Event-triggered Stabilization with a Known Convergence Rate
Abstract
A constructive tool of nonlinear control systems design, the method of Control Lyapunov Functions (CLF) 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 the 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 dwelltimes between the consecutive events. Furthermore, we prove the existence of self-triggered and periodic event-triggered controllers, providing stabilization with a known convergence rate.
Cite
@article{arxiv.1803.08980,
title = {Lyapunov Event-triggered Stabilization with a Known Convergence Rate},
author = {Anton V. Proskurnikov and Manuel Mazo},
journal= {arXiv preprint arXiv:1803.08980},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1802.01025