论文标题

非线性系统的分布式同时状态和参数估计

Distributed simultaneous state and parameter estimation of nonlinear systems

论文作者

Liu, Siyu, Yin, Xunyuan, Liu, Jinfeng, Ding, Feng

论文摘要

在本文中,我们考虑了一类非线性系统的同时分布式状态和参数估计,其中包含状态和参数的增强模型只能部分观察到。具体而言,我们首先说明灵敏度分析(SA)如何为同时状态和参数估计选择变量。然后,提出了一种基于社区结构检测(CSD)的过程分解方法,以将整个系统分为互连的子系统作为分布式估计的基础。接下来,我们根据配置的子系统模型开发本地移动范围估计器,而本地估计器相互通信以交换其估计值。最后,提出了基于SA和CSD的分布式移动范围估计(DMHE)机制。使用由四个连接反应器组成的化学过程说明了所提出的方法的有效性。

In this paper, we consider distributed simultaneous state and parameter estimation for a class of nonlinear systems, for which the augmented model comprising both the states and the parameters is only partially observable. Specifically, we first illustrate how the sensitivity analysis (SA) can select variables for simultaneous state and parameter estimation. Then, a community structure detection (CSD) based process decomposition method is proposed for dividing the entire system into interconnected subsystems as the basis of distributed estimation. Next, we develop local moving horizon estimators based on the configured subsystem models, and the local estimators communicate with each other to exchange their estimates. Finally, an SA and CSD based distributed moving horizon estimation (DMHE) mechanism is proposed. The effectiveness of the proposed approach is illustrated using a chemical process consisting of four connected reactors.

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