有色噪声影响下基于光谱的动力学参数估计  

Spectral-based kinetic parameter estimation under the influence of colored noise

作　　者：周杭南 陈伟锋[1] ZHOU Hang-nan;CHEN Wei-feng(School of Information Engineering,Zhejiang University of Technology,Hangzhou 310023,China)

机构地区：[1]浙江工业大学信息工程学院,浙江杭州310023

出　　处：《高校化学工程学报》2021年第6期1051-1059,共9页Journal of Chemical Engineering of Chinese Universities

基　　金：国家重点研发计划(2017YFE0106700);国家自然科学基金(61873242)。

摘　　要：针对目前绝大多数反应动力学参数估计方法是基于测量光谱数据中仅含有高斯白噪声这一假设来设计的问题,提出有色噪声影响下的动力学参数估计方法。对于含有一阶自回归有色噪声的光谱数据,该方法通过测量数据差分,并基于配点法和极大似然估计原则对反应动力学参数进行估计。结果表明:针对含有有色噪声的光谱数据,在假设噪声模型完全已知的情况下,提出的方法能很好地估计出反应动力学参数,并且在仅知道有色噪声模型结构为一阶自回归过程的情况下也能很好地估计出有色噪声自相关系数及反应动力学参数。相比基于高斯白噪声假设的方法,所提出的方法具有更高的估计精度。Because most parameter estimation approaches have been designed based on the assumption that there is only white Gaussian noise in the measured spectroscopic data so far,a kinetic parameter estimation approach under the influence of colored noise was proposed.For spectroscopic data with colored noise of the first-order auto-regressive process,the reaction kinetic parameter estimation was performed by combining observed data difference,collocation method and maximum likelihood principle.The results show that the kinetic parameters can be well estimated from spectroscopic data with colored noise by the proposed approach under the assumption that the colored noise model is completely known.Also,when only the model structure of colored noise is known,both the kinetic parameters and auto-correlation coefficient can be well estimated by the proposed approach simultaneously.The proposed approach has the better estimation precision than the approach derived based on the white Gaussian noise assumption.

关 键 词：光谱 有色噪声 反应动力学参数 参数估计 

分 类 号：TQ03[化学工程]