Isochronous partitions for region-based self-triggered control

Isochronous partitions for region-based self-triggered control

Delimpaltadakis, Giannis (TU Delft Team Tamas Keviczky)
Mazo, M. (TU Delft Team Tamas Keviczky)

2021

In this article, 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 interevent 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 interevent times, we use approximations of isochronous manifolds, a notion first introduced in Anta and Tabuada (2012). This article addresses some theoretical issues of Anta and Tabuada (2012) 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 is demonstrated through simulation examples.

Manifolds
Nonlinear systems
Current measurement
Time measurement
Stability analysis
Aerospace electronics
Approximation algorithms

http://resolver.tudelft.nl/uuid:8b4096fd-6d67-46a6-bc5e-e2e24f42f8d4

https://doi.org/10.1109/TAC.2020.2994020

2020-11-11

0018-9286

IEEE Transactions on Automatic Control, 66 (3), 1160-1173

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Institutional Repository

journal article

© 2021 Giannis Delimpaltadakis, M. Mazo