Analysis and Design of Scaling Optimal GPM-PID Control with Application to Liquid Level Control  

作　　者：Zhuo-Yun Nie Rui-Juan Liu Fu-Jiang Jin Lai-Cheng Yan 

机构地区：[1]School of Information Science and Engineering,National Huaqiao University [2]School of Applied Mathematics,Xiamen University of Technology

出　　处：《International Journal of Automation and computing》2016年第6期624-633,共10页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China(Nos.61403149 and 61273069);Natural Science Foundation of Fujian Province(No.2015J01261);the Scientific Research Foundation of National Huaqiao University

摘　　要：In this paper, a new analysis and design method for proportional-integrative-derivative （PID） tuning is proposed based on controller scaling analysis. Integral of time absolute error （ITAE） index is minimized for specified gain and phase margins （GPM） constraints, so that the transient performance and robustness are both satisfied. The requirements on gain and phase margins are ingeniously formulated by real part constraints （RPC） and imaginary part constraints （IPC）. This set of new constraints is simply related with three parameters and decoupling of the remaining four unknowns, including three controller parameters and the gain margin, in the nonlinear and coupled characteristic equation simultaneously. The formulas of the optimal GPM-PID are derived based on controller scaling analysis. Finally, this method is applied to liquid level control of coke fractionation tower, which demonstrate that the proposed method provides better disturbance rejection and robust tracking performance than some commonly used PID tuning methods.In this paper, a new analysis and design method for proportional-integrative-derivative （PID） tuning is proposed based on controller scaling analysis. Integral of time absolute error （ITAE） index is minimized for specified gain and phase margins （GPM） constraints, so that the transient performance and robustness are both satisfied. The requirements on gain and phase margins are ingeniously formulated by real part constraints （RPC） and imaginary part constraints （IPC）. This set of new constraints is simply related with three parameters and decoupling of the remaining four unknowns, including three controller parameters and the gain margin, in the nonlinear and coupled characteristic equation simultaneously. The formulas of the optimal GPM-PID are derived based on controller scaling analysis. Finally, this method is applied to liquid level control of coke fractionation tower, which demonstrate that the proposed method provides better disturbance rejection and robust tracking performance than some commonly used PID tuning methods.

关 键 词：Proportional-integrative-derivative （PID） controller controller scaling gain and phase margins integral of time absolute error （ITAE） liquid level control. 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TF341.6[自动化与计算机技术—控制科学与工程]