Multi‐rate observer design for process monitoring using asynchronous inter‐sample output predictions
Multi‐rate observer design for process monitoring using asynchronous inter‐sample output predictions
复制标题
使用异步样本间输出预测进行过程监控的多速率观测器设计
DOI：
10.1002/aic.15707
复制
发表时间：
2017
期刊：
影响因子：
3.7
通讯作者：
C. Kravaris
中科院分区：
文献类型：
--
作者：
Chen Ling;C. Kravaris
本文研究了具有异步采样的线性多输出系统的观测器设计问题。所提出的多速率观测器是基于连续时间Luenberger观测器设计的，该观测器与每个采样测量的样本间预测器相结合，该预测器在连续测量之间产生输出的估计。采样时间不一定是均匀分布的，但在所有传感器之间存在一个最大采样周期。给出了多速率观测器指数稳定的充分条件和显式条件。通过一个数学算例和一个气相聚乙烯反应器对所提出的多速率观测器设计框架进行了验证。在后一种情况下，估计了活性催化剂中心的数量，其收敛速度与连续测量的情况相当。©2017美国化学工程师学会学报，63：3384-3394,2017
In this article, the problem of observer design in linear multi‐output systems with asynchronous sampling is addressed. The proposed multi‐rate observer is based on a continuous‐time Luenberger observer design coupled with an inter‐sample predictor for each sampled measurement, which generates an estimate of the output in between consecutive measurements. The sampling times are not necessarily uniformly spaced, but there exists a maximum sampling period among all the sensors. Sufficient and explicit conditions are derived to guarantee exponential stability of the multi‐rate observer. The proposed framework of multi‐rate observer design is examined through a mathematical example and a gas‐phase polyethylene reactor. In the latter case, the amount of active catalyst sites is estimated, with a convergence rate that is comparable to the case of continuous measurements. © 2017 American Institute of Chemical EngineersAIChE J, 63: 3384–3394, 2017