2021/04/09 by Wanchun Liu, Liu, Wanchun, Daniel E. Quevedo +7
Engineering · Computer Science · #Stability and Control of Uncertain Systems #Distributed Sensor Networks and Detection Algorithms #Target Tracking and Data Fusion in Sensor Networks
paper · pdf · doi:10.48550/arxiv.2104.04181
We investigate the stability conditions for remote state estimation of multiple linear time-invariant (LTI) systems over multiple wireless time-varying communication channels. We answer the following open problem: what is the fundamental requirement on the multi-sensor-multi-channel system to guarantee the existence of a sensor scheduling policy that can stabilize the remote estimation system? We propose a novel policy construction and analytical framework and derive the necessary-and-sufficient stability condition in terms of the LTI system parameters and the channel statistics.