Towards Traffic Bisimulation of Linear Periodic Event-Triggered Controllers

Authors :: Gleizer, Gabriel de A.
Mazo Jr, Manuel
Source :: IEEE Control Systems Letters, vol. 5, no. 1, pp. 25-30, Jan. 2021
Publication Year :: 2020
Abstract: We provide a method to construct finite abstractions exactly bisimilar to linear systems under a modified periodic event-triggered control (PETC), when considering as output the inter-event times they generate. Assuming that the initial state lies on a known compact set, these finite-state models can exactly predict all sequences of sampling times until a specified Lyapunov sublevel set is reached. Based on these results, we provide a way to build tight models simulating the traffic of conventional PETC. These models allow computing tight bounds of the PETC average frequency and global exponential stability (GES) decay rate. Our results are demonstrated through a numerical case study.<br />Comment: Accepted at IEEE Control Systems Letters

Subjects :: Electrical Engineering and Systems Science - Systems and Control

Database :: arXiv
Journal :: IEEE Control Systems Letters, vol. 5, no. 1, pp. 25-30, Jan. 2021
Publication Type :: Report
Accession number :: edsarx.2005.14504
Document Type :: Working Paper
Full Text :: https://doi.org/10.1109/LCSYS.2020.2999177