Distributed Observer Design for Achieving Asymptotical Omniscience over Time-variant Disconnected Networks
Haotian Xu, Jingcheng Wang, Hongyuan Wang, Shangwei Zhao, Hai Ting Lin · IFAC-PapersOnLine · 2020
This paper investigates the distributed observer design for linear system under time-variant disconnected communication network. By constructing basic eigenvectors of 0-eigensubspace of disconnected Laplacian Matrix and using LMIs method, we prove the distributed observer cannot achieve omniscience asymptotically under switching topology without constraining the system matrix or alternative topologies set. To deal with this problem, this paper investigates three kinds of constraints and the system matrix only needs to satisfy any one of them. Then a group of sufficient conditions corresponding to the asymptotic omniscience of distributed observer under switching topology are proved by Lyapunov analysis. Finally, a numerical simulation shows the validity of our method.