Abstracting the Traffic of Nonlinear Event-Triggered Control Systems

Abstracting the Traffic of Nonlinear Event-Triggered Control Systems

Delimpaltadakis, Giannis (TU Delft Team Manuel Mazo Jr)
Mazo, M. (TU Delft Team Manuel Mazo Jr)

2023

Scheduling communication traffic in networks of event-triggered control (ETC) systems is challenging, as their sampling times are unknown, hindering application of ETC in networks. In previous work, finite-state abstractions were created, capturing the sampling behavior of linear time-invariant (LTI) ETC systems with quadratic triggering functions. Offering an infinite-horizon look to ETC systems' sampling patterns, such abstractions can be used for scheduling of ETC traffic. Here, we significantly extend this framework, by abstracting perturbed uncertain nonlinear ETC systems with general triggering functions. To construct an ETC system's abstraction: 1) the state space is partitioned into regions; 2) for each region, an interval is determined, containing all intersampling times of points in the region; and 3) the abstraction's transitions are determined through reachability analysis. To determine intervals and transitions, we devise algorithms based on reachability analysis. For partitioning, we propose an approach based on isochronous manifolds, resulting into tighter intervals and providing control over them, thus containing the abstraction's nondeterminism. Simulations showcase our developments.

Control systems
Linear systems
Reachability analysis
Timing
Trajectory
Uncertainty
Writing

http://resolver.tudelft.nl/uuid:ab99a0a3-9c56-4f80-a753-0f7c079ff03b

https://doi.org/10.1109/TAC.2022.3195128

2023-02-01

0018-9286

IEEE Transactions on Automatic Control, 68 (6), 3744-3751

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

© 2023 Giannis Delimpaltadakis, M. Mazo