“…Specifically, each node in the network only exchanges information with its immediate neighbors to achieve a comparable performance to its centralized counterpart, which reduces communication cost and makes the network robust against possible failures of some nodes [8]. The consensus filter, which computes the average of interested values in a distributed manner, has attracted immense popularity for distributed state estimation [4,5,6,7,9,10,11,12,13,14,16,17,18,19,20,21,22]. Recently, in [23,24], the multiscale consensus scheme, in which the local estimated states achieve asymptotically prescribed ratios in terms of multiple scales, has been discussed and analyzed.…”