Event-triggered observer design for linear systems
Abstract
We present an event-triggered observer design for linear time-invariant systems, where the measured output is sent to the observer only when a triggering condition is satisfied. We proceed by emulation and we first construct a continuous-time Luenberger observer. We then propose a dynamic rule to trigger transmissions, which only depends on the plant output and an auxiliary scalar state variable. The overall system is modeled as a hybrid system, for which a jump corresponds to an output transmission. We show that the proposed event-triggered observer guarantees global practical asymptotic stability for the estimation error dynamics. Moreover, under mild boundedness conditions on the plant state and its input, we prove that there exists a uniform strictly positive minimum inter-event time between any two consecutive transmissions, guaranteeing that the system does not exhibit Zeno solutions. Finally, the proposed approach is applied to a numerical case study of a lithium-ion battery.
Cite
@article{arxiv.2109.10576,
title = {Event-triggered observer design for linear systems},
author = {E. Petri and R. Postoyan and D. Astolfi and D. Nešić and W. P. M. H. Heemels},
journal= {arXiv preprint arXiv:2109.10576},
year = {2021}
}