Towards Traffic Bisimulation of Linear Periodic Event-Triggered Controllers

Gabriel de A. Gleizer, Manuel Mazo
2020 IEEE Control Systems Letters  
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
more » ... nal 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.
doi:10.1109/lcsys.2020.2999177 fatcat:xu55c3koc5hwngitrtfykxocv4