文献类型：期刊文献

英文题名：Approximate finite-dimensional ODE temperature model for microwave heating

作者：Zhong, Jiaqi Liang, Shan Zeng, Cheng Yuan, Yupeng Xiong, Qingyu

第一作者：Zhong, Jiaqi

通信作者：Liang, S[1];Liang, S[2]

机构：[1]Chongqing Univ, Key Lab Dependable Serv Comp Cybor Phys Soc, Minist Educ, Chongqing 400044, Peoples R China;[2]Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China;[3]Guizhou Inst Technol, Coll Sci, Guiyang 550003, Guizhou, Peoples R China;[4]Chongqing Univ, Coll Software Engn, Chongqing 400044, Peoples R China

第一机构：Chongqing Univ, Key Lab Dependable Serv Comp Cybor Phys Soc, Minist Educ, Chongqing 400044, Peoples R China

通信机构：corresponding author), Chongqing Univ, Key Lab Dependable Serv Comp Cybor Phys Soc, Minist Educ, Chongqing 400044, Peoples R China;corresponding author), Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China.

年份：2016

卷号：21

期号：4

起止页码：498-514

外文期刊名：NONLINEAR ANALYSIS-MODELLING AND CONTROL

收录：;Scopus(收录号：2-s2.0-84962014061);WOS:【SCI-EXPANDED(收录号:WOS:000375346800005)】；

基金：Financial support from the National Basic Research Program of China (No. 2013CB328903) is gratefully acknowledged.

语种：英文

外文关键词：model reduction; temperature profile; microwave heating

摘要：In this paper, a finite-dimensional ordinary differential equation (ODE) model is proposed for predicting the temperature profile with microwave heating to accomplish lower computing complexity. The traditional parabolic partial different equation (PDE) model with integrating Maxwell's equation and heat transport equation is not suitable for designing the on-line controller. Based on the obstruction, using an auxiliary function derives an intermediate model, which is analyzed and discussed for model reduction by employing the parameter separation method and Galerkin's method. The simulation experiments on one-dimensional waveguide and cavity demonstrate that the proposed approximate model is effective.