Lyapunov Design for Event-Triggered Exponential Stabilization
Systems and Control
2019-04-04 v1 Optimization and Control
Abstract
Control Lyapunov Functions (CLF) method gives a constructive tool for stabilization of nonlinear systems. To find a CLF, many methods have been proposed in the literature, e.g. backstepping for cascaded systems and sum of squares (SOS) programming for polynomial systems. Dealing with continuous-time systems, the CLF-based controller is also continuous-time, whereas practical implementation on a digital platform requires sampled-time control. In this paper, we show that if the continuous-time controller provides exponential stabilization, then an exponentially stabilizing event-triggered control strategy exists with the convergence rate arbitrarily close to the rate of the continuous-time system.
Keywords
Cite
@article{arxiv.1802.01025,
title = {Lyapunov Design for Event-Triggered Exponential Stabilization},
author = {Anton V. Proskurnikov and Manuel Mazo},
journal= {arXiv preprint arXiv:1802.01025},
year = {2019}
}
Comments
accepted by ACM HSCC 2018 conference