Distributed State Estimation Under Jointly Connected Switching Networks: Continuous-Time Linear Systems and Discrete-Time Linear Systems

• 成果类型: Article
• 署名作者: Zhang, Lan; Lu, Maobin; Deng, Fang; Chen, Jie
• 署名单位: Beijing Institute of Technology; Beijing Institute of Technology; Beijing Institute of Technology; Tongji University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3279210
• 发表日期: 2024
• 页码: 1104-1111
• 关键词: Observers; switches; Linear systems; communication networks; observability; estimation error; discrete-time systems; distributed estimation; jointly observable; Linear system observers; switching networks

摘要

In this article, we address the distributed state estimation problem for both continuous-time linear time-invariant (LTI) systems and discrete-time LTI systems under switching networks. The observed system is jointly observable, i.e., each agent can only access a part of the measurement output of the observed system and cannot recover the full state by itself. The full state estimation has to be achieved by network communication of neighboring agents. In contrast to existing works, the salient feature of this work is that the developed approach can deal with jointly connected switching networks and thus is more resilient to unreliable communication. First, we propose a new observability decomposition method for linear systems in modal canonical form. Then, we design distributed observers for both the continuous-time system and the discrete-time system. Based on the common Lyapunov function approach, we show that the switched estimation error system is asymptotically stable and thus, the full state estimation can be achieved under jointly connected switching networks.