Uniformly Bounded State Estimation Over Multiple Access Channels

• 成果类型: Article
• 署名作者: Zafzouf, Ghassen; Nair, Girish N.; Farokhi, Farhad
• 署名单位: University of Melbourne
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3290130
• 发表日期: 2023
• 页码: 7692-7707
• 关键词: Distributed state estimation; multiple access channels; networked control systems; nonstochastic information; zero-error capacity region

摘要

This article addresses the problem of distributed state estimation via multiple access channels (MACs). We consider a scenario where two encoders are simultaneously communicating their measurements through a noisy channel. First, the zero-error capacity region of the general M-input, single-output MAC is characterized using tools from nonstochastic information theory. Next, we show that a tight condition to be able to achieve uniformly bounded state estimation errors can be given in terms of the channel zero-error capacity region. This criterion relates the channel properties to the plant dynamics. These results pave the way toward understanding information flows in networked control systems with multiple transmitters.