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arXiv · 1903.05486

A Distributed Observer for a Discrete-Time Linear System

Lili Wang·Ji Liu·A. Stephen Morse·Brian D. O. Anderson
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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.

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Lili Wang, Ji Liu, A. Stephen Morse, Brian D. O. Anderson. 2019-03-13. A Distributed Observer for a Discrete-Time Linear System. https://arxiv.org/abs/1903.05486

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