文献类型：期刊文献

英文题名：Internal Model Control for Rank-Deficient System with Time Delays Based on Damped Pseudo-Inverse

作者：Jiang, Meiying[1];Jiang, Beiyan[2,3];Wang, Qi[1]

第一作者：Jiang, Meiying

通讯作者：Jiang, BY[1];Jiang, BY[2]

机构：[1]Beijing Univ Chem Technol, Sch Informat Sci & Technol, 15 Beisanhuan East Rd, Beijing 100029, Peoples R China;[2]Beijing Union Univ, Beijing Key Lab Informat Serv Engn, 97 Beisihuan East Rd, Beijing 100101, Peoples R China;[3]Beijing Union Univ, Coll Robot, 4 Gongti North Rd, Beijing 100027, Peoples R China

第一机构：Beijing Univ Chem Technol, Sch Informat Sci & Technol, 15 Beisanhuan East Rd, Beijing 100029, Peoples R China

通讯机构：[1]corresponding author), Beijing Union Univ, Beijing Key Lab Informat Serv Engn, 97 Beisihuan East Rd, Beijing 100101, Peoples R China;[2]corresponding author), Beijing Union Univ, Coll Robot, 4 Gongti North Rd, Beijing 100027, Peoples R China.|[1141739]北京联合大学机器人学院;[11417]北京联合大学;[11417103]北京联合大学北京市信息服务工程重点实验室;

年份：2019

卷号：7

期号：5

外文期刊名：PROCESSES

收录：;Scopus(收录号：2-s2.0-85066499694);WOS:【SCI-EXPANDED(收录号:WOS:000470965600023)】；

基金：This research was funded by the Premium Funding Project for Academic Human Resources Development in Beijing Union University (No. BPHR2018DZ05), and the Social Science Foundation of Beijing (No. 15JGC188).

语种：英文

外文关键词：internal model control; rank-deficient system; time delay; damped pseudo-inverse

摘要：It is a challenge to design a satisfactory controller for a complex multivariable industrial system with minimal offsetting and a slow response. An internal model control method is proposed for rank-deficient systems with a time delay based on a damped pseudo-inverse. An internal model control was designed to obtain the desired dynamic characteristics of the system by transforming the time-delay system into a system without a time delay, following the Pade approximation approach. By introducing a damping factor, the internal model controller was designed based on a damped pseudo-inverse, since the inverse matrix of the rank-deficient system does not exist. Furthermore, a singular value decomposition was used to analyze the steady-state performance of the system. The selection of the damping factor was also presented, and a analysis was made to evaluate the stability of the system. To demonstrate the effectiveness of the proposed method, a crude distillation process with five inputs and four outputs was considered as an example. The simulation results illustrate that not only can the proposed strategy guarantee the system's stability, but it also has a relatively good dynamic performance.