Isochronous Partitions for Region-Based Self-Triggered Control

Abstract

In this work, we propose a region-based self-triggered control (STC) scheme for nonlinear systems. The state space is partitioned into a finite number of regions, each of which is associated to a uniform inter-event time. The controller, at each sampling time instant, checks to which region does the current state belong, and correspondingly decides the next sampling time instant. To derive the regions along with their corresponding inter-event times, we use approximations of isochronous manifolds, a notion firstly introduced in [1]. This work addresses some theoretical issues of [1] and proposes an effective computational approach that generates approximations of isochronous manifolds, thus enabling the region-based STC scheme. The efficiency of both our theoretical results and the proposed algorithm are demonstrated through simulation examples.

One of the numerical examples contains improved results compared to older versions

Cited by in corpus (4)

• Region-Based Self-Triggered Control for Perturbed and Uncertain Nonlinear Systems
• Abstracting the Traffic of Nonlinear Event-Triggered Control Systems
• ETCetera: beyond Event-Triggered Control
• Current trends and future directions in event-based control