Distributed Observers for Linear Time-Invariant Systems With Time-Varying Delays: A Switching Event-Triggered Approach
研究了时变时滞下线性时不变系统的状态估计问题，设计了基于切换事件触发的分布式观测器，通过离散相对状态信息持续估计系统状态，显著降低通信和计算资源消耗，并保证采样间隔正下界以避免Zeno行为。
The state estimation problem of linear time-invariant (LTI) systems is investigated in this article. Distributed observers are designed to estimate the complete states of LTI systems under time-varying delays. A class of edge-based switching event-triggered mechanisms (SETMs) are designed for distributed observers to continuously estimate the states of the target system by the discrete relative state information, reducing the consumption of communication/computation resources significantly. The positive lower bounds of intersampling times are guaranteed, which further avoids Zeno behaviors. A unified framework for the stability analysis of the estimation error system under the SETM is presented, and the sufficient conditions for the asymptotic state estimation of the distributed observer are derived. Finally, numerical simulations are given to illustrate the effectiveness of the proposed method.