标题： 基于事件的正系统正观测器状态估计方法 显示英文标题

标题： An Event-based State Estimation Approach for Positive Systems with Positive Observers

摘要： 本文解决了连续时间线性正网络系统状态观测器设计的问题。 考虑到通信网络中的带宽限制，提出了一种基于事件测量的正观测器设计。 正观测器的物理解释与一般观测器不同。 其主要目标是确保所有状态估计在任何时间都保持非负。 使用输出测量，采用具有加权采样误差的规则来确定系统与观测器之间的采样序列。 观测器动态使用标准的Luenberger结构，并利用基于事件的采样输出信息，仅在发生事件时更新。 假设可观测性以及系统正性的充分条件，建立了带有采样信息的观测器动态的渐近稳定性。 通过线性矩阵不等式推导出了稳定性和正性的充分条件。 此外，设计确保基于事件的架构不会出现Zeno行为，从而保证执行间时间的正最小界限。 此外，通过对具有可变横截面的三罐系统进行数值仿真，以证明所提出的基于事件的正观测器的有效性。 显示英文摘要

摘要： This article addresses the problem of state observer design for continuous-time linear positive networked systems. Considering the bandwidth constraint in the communication network, an event-measurement-based positive observer design is proposed. The physical interpretation of a positive observer differs from that of a general observer. Its primary goal is to ensure that all state estimates remain non-negative at all times. Using output measurements, a law with weighted sampling error is used to determine the sampling sequence between the system and the observer. The observer dynamics are designed using the standard Luenberger structure with the event-based sampled output information, which is updated only when an event occurs. Assuming observability and sufficient conditions for the positivity of the system, the asymptotic stability of the observer dynamics with sampled information is established. Sufficient conditions of stability and positivity are derived using linear matrix inequalities. Moreover, the design ensures that the event-based architecture is free from Zeno behavior, ensuring a positive minimum bound on the inter-execution time. In addition, numerical simulations on a three-tank system having variable cross-sections are used to demonstrate the efficacy of the proposed event-based positive observer.