In our previous work, we developed a multirate observer design method in linear systems with asynchronous sampling based on a Luenberger observer design coupled with inter‐sample predictors. In this article, the problem of multirate multidelay observer design is addressed where both asynchronous sampling and possible measurement delays are accounted for. The proposed observer adopts an available multirate observer design in the time interval between two consecutive delayed measurements. A dead time compensation approach is developed to compensate for the effect of delay and update past estimates when a delayed measurement arrives. The stability and robustness properties of the multirate observer will be preserved under nonconstant, arbitrarily large measurement delays. A mathematical example and a gas‐phase polyethylene reactor example demonstrate good performance of the proposed observer in the presence of nonuniform sampling and nonconstant measurement delays. © 2018 American Institute of Chemical Engineers AIChE J, 65: 562–570, 2019

中文翻译：

---

具有大测量延迟的多速率观测器设计的空载时间补偿方法

在我们以前的工作中，我们基于Luenberger观测器设计与样本间预测器相结合，开发了具有异步采样的线性系统中的多速率观测器设计方法。在本文中，解决了多速率多延迟观测器设计的问题，其中考虑了异步采样和可能的测量延迟。建议的观测器在两个连续的延迟测量之间的时间间隔内采用可用的多速率观测器设计。开发了空载时间补偿方法以补偿延迟的影响，并在延迟测量到达时更新过去的估计。在非恒定，任意大的测量延迟下，将保留多速率观测器的稳定性和鲁棒性。一个数学示例和一个气相聚乙烯反应器示例证明了在存在非均匀采样和非恒定测量延迟的情况下，建议的观测器具有良好的性能。©2018美国化学工程师学会AIChE J，65：562–570，2019