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The design of an IMC-PID controller based on MEOTF and its application to non-square processes with time delay†

Published online by Cambridge University Press:  04 September 2014

QIBING JIN,
LITING CAO,
KUN HE,
KEWEN WANG and
BEIYAN JIANG
QIBING JIN
Affiliation:
College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, China Email: jinqb@mail.buct.edu.cn; caoliting0618@163.com; hekun322@gmail.com; heaven996@hotmail.com; yanzi861111@163.com
LITING CAO
Affiliation:
College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, China Email: jinqb@mail.buct.edu.cn; caoliting0618@163.com; hekun322@gmail.com; heaven996@hotmail.com; yanzi861111@163.comBeijing Union University, Beijing, China
KUN HE
Affiliation:
College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, China Email: jinqb@mail.buct.edu.cn; caoliting0618@163.com; hekun322@gmail.com; heaven996@hotmail.com; yanzi861111@163.com
KEWEN WANG
Affiliation:
College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, China Email: jinqb@mail.buct.edu.cn; caoliting0618@163.com; hekun322@gmail.com; heaven996@hotmail.com; yanzi861111@163.com
BEIYAN JIANG
Affiliation:
College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, China Email: jinqb@mail.buct.edu.cn; caoliting0618@163.com; hekun322@gmail.com; heaven996@hotmail.com; yanzi861111@163.com
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Abstract

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It is difficult to design a controller directly for non-square multi-variable systems with time delay. In the current paper, we propose a new design method for an Internal Model Control PID controller based on a modified effective open-loop transfer function (MEOTF) for non-square processes with time delay. The MEOTF method is used to decompose the complex non-square process into several equivalent independent single-input/single-output processes. Using the Taylor Particle Swarm Optimisation (Taylor-PSO) model reduction method, the MEOTF of the non-square process is approximated by a reduced order form. The reduced form of the MEOTF is then used to design the Internal Model Control PID controller, which is then used for the original non-square process. To improve the robust stability, a first-order filter is added in the feedback loop. Finally, we present simulation results showing the validity and reliability of this method. In particular, our method has a strong anti-interference characteristic and retains its good control performance in the presence of model perturbation and interference.

Footnotes

†

This work was supported by 863 Project (2008AA042131) and 973 Project (2007CB714300).

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