TY - JOUR
T1 - Towards Traffic Bisimulation of Linear Periodic Event-Triggered Controllers
AU - de Albuquerque Gleizer, G.
AU - Mazo, M.
N1 - 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.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - Sampled-data control
KW - hybrid systems
KW - control over communications
KW - networked control systems
UR - http://www.scopus.com/inward/record.url?scp=85091097332&partnerID=8YFLogxK
U2 - 10.1109/LCSYS.2020.2999177
DO - 10.1109/LCSYS.2020.2999177
M3 - Article
SN - 2475-1456
VL - 5
SP - 25
EP - 30
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
IS - 1
ER -