1 research outputs found
A Distributed Observer for a Continuous-Time Linear System with time-varying network
A simply structured distributed observer is described for estimating the
state of a continuous-time, jointly observable, input-free, linear system whose
sensed outputs are distributed across a time-varying network. It is explained
how to design a gain in 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. A linear
inequality for is provided when the network's graph is switching according
to a switching signal with a dwell time or an average dwell time, respectively.
It has also been shown the existence of when the stochastic matrix of the
network's graph is chosen to be doubly stochastic under arbitrarily switching
signals. This is accomplished by exploiting several well-known properties of
invariant subspaces and properties of perturbed systems.Comment: 5 pages, submit to cdc 2020. arXiv admin note: text overlap with
arXiv:1903.0548