Stability Conditions for Remote State Estimation of Multiple Systems Over Multiple Markov Fading Channels

• 成果类型: Article
• 署名作者: Liu, Wanchun; Quevedo, Daniel E.; Johansson, Karl Henrik; Vucetic, Branka; Li, Yonghui
• 署名单位: University of Sydney; Queensland University of Technology (QUT); Royal Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3201172
• 发表日期: 2023
• 页码: 4273-4280
• 关键词: estimation; Kalman filtering; Linear systems; Markov fading channel; mean-square error (MSE); STABILITY

摘要

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 multisensor-multichannel system to guarantee the existence of a sensor scheduling policy that can stabilize the remote estimation system? In this note, 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.