LAPSE:2019.0830
Published Article
LAPSE:2019.0830
Internal Model Control for Rank-Deficient System with Time Delays Based on Damped Pseudo-Inverse
Meiying Jiang, Beiyan Jiang, Qi Wang
July 29, 2019
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 μ 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.
Keywords
damped pseudo-inverse, internal model control, rank-deficient system, time delay
Suggested Citation
Jiang M, Jiang B, Wang Q. Internal Model Control for Rank-Deficient System with Time Delays Based on Damped Pseudo-Inverse. (2019). LAPSE:2019.0830
Author Affiliations
Jiang M: School of Information Science and Technology, Beijing University of Chemical Technology, No. 15, Beisanhuan East Road, Beijing 100029, China
Jiang B: Beijing Key Laboratory of Information Service Engineering, Beijing Union University, No. 97 Beisihuan East Road, Chao Yang District, Beijing 100101, China; College of Robotics, Beijing Union University, No. 4 Gongti North Road, Chaoyang District, Beijing
Wang Q: School of Information Science and Technology, Beijing University of Chemical Technology, No. 15, Beisanhuan East Road, Beijing 100029, China
[Login] to see author email addresses.
Journal Name
Processes
Volume
7
Issue
5
Article Number
E264
Year
2019
Publication Date
2019-05-06
Published Version
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr7050264, Publication Type: Journal Article
Record Map
Published Article

LAPSE:2019.0830
This Record
External Link

doi:10.3390/pr7050264
Publisher Version
Download
Files
[Download 1v1.pdf] (3.2 MB)
Jul 29, 2019
Main Article
License
CC BY 4.0
Meta
Record Statistics
Record Views
490
Version History
[v1] (Original Submission)
Jul 29, 2019
 
Verified by curator on
Jul 29, 2019
This Version Number
v1
Citations
Most Recent
This Version
URL Here
https://psecommunity.org/LAPSE:2019.0830
 
Original Submitter
Calvin Tsay
Links to Related Works
Directly Related to This Work
Publisher Version