'Institute of Electrical and Electronics Engineers (IEEE)'
Doi
Abstract
A simply structured distributed observer is described for estimating the state of a discrete-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to construct the local estimators which comprise the observer so that their state estimation errors all converge exponentially fast to zero at a fixed, but arbitrarily chosen rate provided the network's graph is strongly connected for all time. This is accomplished by exploiting several well-known properties of invariant subspaces plus several kinds of suitably defined matrix norms.This work was supported by NSF grant 1607101.00, AFOSR grant
FA9550-16-1-0290, ARO grant W911NF-17-1-0499, and Australian Research Council Grant DP-160104500
