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

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 

作者机构:School of Information Science and EngineeringNational Huaqiao University School of Applied MathematicsXiamen University of Technology 

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 

出 版 物:《International Journal of Automation and computing》 (国际自动化与计算杂志(英文版))

年 卷 期:2016年第13卷第6期

页      码:624-633页

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.

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

学科分类:080602[080602] 08[工学] 0806[工学-电气类] 0835[0835] 0802[工学-机械学] 080201[080201] 

核心收录:

D O I:10.1007/s11633-016-0998-y

馆 藏 号:203209827...

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