论文标题

基于共识的参数和状态估计的农业流水系统估计方法

A consensus-based approach for parameter and state estimation of agro-hydrological system

论文作者

Yin, Xunyuan, Bo, Song, Liu, Jinfeng, Huang, Biao

论文摘要

高级闭环灌溉系统的开发需要准确的土壤水分信息。在这项工作中,我们以强大而可靠的方式解决了农产流系统土壤水分估计的问题。基于Richards方程的离散化来建立非线性状态空间模型,以描述农业流水系统的动力学。我们认为,模型参数是未知的,需要同时估算与状态。我们提出了一种基于共识的估计机制,该机制包括两个主要部分:1)用于估计几个模型参数的分布式扩展的Kalman滤波算法; 2)用于估计状态变量和剩余模型参数的分布式移动范围估计算法。进行了广泛的模拟,并进行了与现有方法的比较,以证明所提出的方法的有效性和优越性。特别是,即使使用了参数和状态的初始猜测,使用现有算法也可能具有挑战性,即使对参数和状态的初始猜测较差,也可以提供准确的土壤水分估计。

The development of advanced closed-loop irrigation systems requires accurate soil moisture information. In this work, we address the problem of soil moisture estimation for the agro-hydrological systems in a robust and reliable manner. A nonlinear state-space model is established based on the discretization of the Richards equation to describe the dynamics of agro-hydrological systems. We consider that model parameters are unknown and need to be estimated together with the states simultaneously. We propose a consensus-based estimation mechanism, which comprises two main parts: 1) a distributed extended Kalman filtering algorithm used to estimate several model parameters; and 2) a distributed moving horizon estimation algorithm used to estimate the state variables and one remaining model parameter. Extensive simulations are conducted, and comparisons with existing methods are made to demonstrate the effectiveness and superiority of the proposed approach. In particular, the proposed approach can provide accurate soil moisture estimate even when poor initial guesses of the parameters and the states are used, which can be challenging to be handled using existing algorithms.

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