Multi-loop PI Controller Design for Multivariable Non-square Systems

WANG Zhiqiang; LUAN Xiaoli; LIU Fei

doi:10.13976/j.cnki.xk.2016.0556

Volume 45 Issue 5

Oct. 2016

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INFORMATION AND CONTROL > 2016 > 45(5): 556-562. > DOI: 10.13976/j.cnki.xk.2016.0556 CSTR: 32166.14.xk.2016.0556

WANG Zhiqiang, LUAN Xiaoli, LIU Fei. Multi-loop PI Controller Design for Multivariable Non-square Systems[J]. INFORMATION AND CONTROL, 2016, 45(5): 556-562. DOI: 10.13976/j.cnki.xk.2016.0556

Citation:

WANG Zhiqiang, LUAN Xiaoli, LIU Fei. Multi-loop PI Controller Design for Multivariable Non-square Systems[J]. INFORMATION AND CONTROL, 2016, 45(5): 556-562. DOI: 10.13976/j.cnki.xk.2016.0556

Citation:

WANG Zhiqiang, LUAN Xiaoli, LIU Fei. Multi-loop PI Controller Design for Multivariable Non-square Systems[J]. INFORMATION AND CONTROL, 2016, 45(5): 556-562. DOI: 10.13976/j.cnki.xk.2016.0556

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Multi-loop PI Controller Design for Multivariable Non-square Systems

Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Jiangnan University, Wuxi 214122, China

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Received Date: September 23, 2015
Revised Date: January 04, 2016
Available Online: December 07, 2022
Published Date: October 19, 2016

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Abstract

Abstract

Based on the theory of equivalent transfer function（ETF), we propose a multi-loop PI（proportional integral) controller design method for high dimensional multivariable non-square systems with time-delays. Firstly, by exploiting the relationship between the ETF and the generalized inverse of transfer function of the non-square systems, an analytical expression of ETF is derived. Then, based on the obtained ETF, the multi-loop PI controler parameters are calculated by exploiting IMC-PID（internal model control-proportional integral derivation) theory with the help of the Maclaurin expansion. The proposed ETF design approach not only has higher accuracy, but is also applicable to high dimensional non-square systems. Finally, several examples are given to demonstrate the simplicity and the effectiveness of the designed method.
- non-square system,
- equivalent transfer function,
- generalized inverse,
- decentralized PI(proportional integral)control

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