Please wait a minute...
浙江大学学报(工学版)
J4  2010, Vol. 44 Issue (7): 1282-1287    DOI: 10.3785/j.issn.1008-973X.2010.07.009
    
Decoupling PID control system design with two degrees of freedom for multivariable process
LUO Yunhui1, 2, LIU Hongbo1, JIA Lei1, CAI Wenjian1, 3
1. School of Control Science and Engineering, Shandong University, Jinan 250061, China; 2. School of Light Chemical and Environmental Engineering, Shandong Institute of Light Industry, Jinan 250353, China; 3. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
Download:   PDF(0KB) HTML
Export: BibTeX | EndNote (RIS)      

Abstract  

A novel design method for decoupling PID control system with two degrees of freedom (2DF) was proposed for multivariable process in order to solve the problems of the complex structure, the hard analytical design of the decoupler, and the difficult compromise between the control performance and the robustness of the controller. The method improved Cai’s normalized decoupling scheme. A decoupling transfer function matrix for long deadtime process was constructed on the viewpoint of power spectrum density. Then the PID controllers with 2DF were designed based on the decoupled single loops. A typical industrial example demonstrated the simplicity and effectiveness of design. The decoupling matrix can be analytically constructed, and the 2DF PID control scheme can improve the decoupling performance in high frequency domain with better setpoint tracking and disturbance rejection. The method can be easily implemented in real control fields.

Published: 01 July 2010
CLC:  TP 273.3  
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
Cite this article:

LUO Yun-Hui, LIU Gong-Bei, GU Lei, CA Wen-Jian. Decoupling PID control system design with two degrees of freedom for multivariable process. J4, 2010, 44(7): 1282-1287.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2010.07.009     OR     http://www.zjujournals.com/eng/Y2010/V44/I7/1282


多变量解耦双自由度PID控制系统设计

为了解决多变量时滞过程解耦器结构复杂且不能解析设计、控制器不易兼顾控制性能和鲁棒性的问题, 提出一种新的解耦双自由度PID控制系统设计方法.针对时滞过程改进了Cai所提出的正则化解耦方法:从能量功率谱的角度重新解释并构造结构简单的解耦矩阵;将系统解耦成单回路后,采用双自由度PID结构设计各回路控制器.典型工业过程实例验证了设计的简单性和性能的有效性.采用该方法,解耦传递函数矩阵可以解析求解,双自由度PID控制器能够有效改善各回路高频段的解耦性能,获得良好的设定值跟踪性能和扰动抑制能力,并且可以方便地应用于控制现场.

［1］ CAI W J, NI W, HE M J, et al. Normalized decoupling: a new approach for MIMO process control system design ［J］. Industrial and Engineering Chemistry Research, 2008, 47(19): 73477356.

［2］ 宋夫华,李平.支持向量机α阶逆系统解耦控制方法［J］.浙江大学学报:工学版,2007,41(2): 226229.

SONG F H, LI P. αthorder inverse decoupling control method based on support vector machines ［J］. Journal of Zhejiang University： Engineering Science, 2007, 41(2): 226229.


［3］ WANG Q G, YE Z, CAI W J, et al. PID control for multivariable processes ［M］. Heidelberg: SpringerVerlag, 2008: 1314.

［4］ XIONG Q, CAI W J, HE M J. Equivalent transfer function method for PI/PID controller design of MIMO processes ［J］. Journal of Process Control, 2007, 17(8): 665673.

［5］ TAVAKOLI S, GRIFFIN I, FLEMIN P J. Tuning of decentralized PI (PID) controllers for TITO processes ［J］. Control Engineering Practice, 2006, 14 (9): 10691080.

［6］ HUANG H P, JENG J C, CHIANG C H, et al. A direct method for multiloop PI/PID controller design ［J］. Journal of Process Control, 2003, 13 (8): 769786.

［7］ WANG Q G. Decoupling control ［M］. Heidelberg: SpringerVerlag, 2003: 27.

［8］ SEBORG D E, EDGAR T F, MELLICHAMP D A. Process dynamics and control ［M］. 2nd ed. New York: Wiley, 2004: 279280.

［9］ HUANG H P, LIN F Y. Decoupling multivariable control with two degrees of freedom ［J］. Industrial and Engineering Chemistry Research, 2006, 45(9): 31613173.

［10］ WOOD R K, BERRY M W. Terminal composition control of a binary distillation column ［J］. Chemical Engineering Science, 1973, 28(9): 17071717.

［11］ CHEN P Y, ZHANG W D. Improvement on an inverted decoupling technique for a class of stable linear multivariable processes ［J］. ISA Transactions, 2007, 46(2): 199210.

［12］ WANG Q G, ZOU B, ZHANG Y. Decoupling Smith predictor design for multivariable systems with multiple time delays ［J］. Transactions of the Institution of Chemical Engineers, 2000, 78(4): 565572.

［13］ LEE J, EDGAR T F. Continuation method for the modified ZieglerNichols tuning of multiloop control systems ［J］. Industrial and Engineering Chemistry Research, 2005, 44 (19): 74287434.
No related articles found!