With a continuous-time formulation of the multihop decomposition, we propose a distributed hybrid observer for a sensor network where the plant and local observers run in continuous time and the information exchange among the sensing nodes is sampled-data. Process disturbances, measurement noise and communication noise are considered, and we prove that under some necessary detectability assumptions the observer gains can be tuned to guarantee exponential ISS with a prescribeda convergence rate. Simulations illustrate the performance of the proposed observer.
@article{arxiv.2203.10817,
title = {Distributed Hybrid Observer With Prescribed Convergence Rate for a Linear Plant Using Multi-Hop Decomposition},
author = {Riccardo Bertollo and Pablo Millán and Luis Orihuela and Alexandre Seuret and Luca Zaccarian},
journal= {arXiv preprint arXiv:2203.10817},
year = {2022}
}