JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2016, Vol. 46 ›› Issue (5): 64-67.doi: 10.6040/j.issn.1672-3961.0.2015.407

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An IMC-PID robust control method for process of integrator plus time delay

HOU Mingdong1,2, WANG Yinsong1, TIAN Jie3   

  1. 1. School of Control and Computer Engineering, North China Electric Power University, Baoding 071003, Hebei, China;
    2. Department of Electrics and Automation, Shandong Labor Vocational and Technical College, Jinan 250100, Shandong, China;
    3. College of Information Technology, Shandong Women's University, Jinan 250100, Shandong, China
  • Received:2015-12-08 Online:2016-10-20 Published:2015-12-08

Abstract: For the integrated plus time delay in industrial system, a design and parameters tuning approach of internal model control PID(IMCPID)controller was proposed. The integrator in the model was replaced by a first-order lag, the steady-state performance of the system was improved, the time-delay term in the model was approached with the first-order Taylor expansion, and the design method of IMC-PID controller was founded. The analytical expression for robust tuning the adjustable parameter of the IMC-PID controller was derived based on the robustness index of the control system. The simulation results showed that the proposed method could provide a better dynamic performance and robustness against parameters perturbation, and the blindness of conventional method for controller parameter tuning was overcome.

Key words: dynamic response, internal model control-PID, integral process with time-delay, robustness, parameter tuning

CLC Number: 

  • TP273
[1] ALACNTARA S, ZHANG Weidong, PEDRET C, et al. IMC-like analytical H design with S/SP mixed sensitivity consideration:utility in PIDtuning guidance[J].Journal of Process Control, 2011, 21(6):976-985.
[2] ZHAO Zhicheng, LIU Zhiyuan, ZHANG Jinggang. IMC-PID tuning method based on sensitivity specification for process with timedelay[J].Journal of Central South University of Technology, 2011, 18(4):1153-1160.
[3] YIN Chengqiang, HUI Hongzhong, YUE Jiguang, et al.Cascade control based on minimum sensitivity in outer loop for processes with time delay[J].Journal of Central South University, 2012, 19(9):2689-2696.
[4] 张井岗,马文廷,赵志诚.串级时滞过程的二自由度Smith预估控制[J].山东大学学报(工学版),2015,45(5):43-50. ZHANG Jinggang, MA Wenting, ZHAO Zhicheng. Two-degree-of-freedom Smith predictor control for cascade time delay process[J].Journal of Shandong University(Engineering Science), 2015, 45(5):43-50.
[5] LI Keyu. PID tuning for optimal closed-loop performance with specifiedgain and phase margins[J]. IEEE Trans on Control Systems Technology, 2013, 21(3):1024-1030.
[6] RAO A S, RAO V S R, CHIDAMBRAM M. Direct synthesis-based controller design for integrating processes with time delay[J]. Journal of the Franklin Institute, 2009, 346(1): 38-56.
[7] SHAMSUZZOHA M, LEE M. IMC-PID controller design for improved disturbance rejection of time-delayed process[J]. Ind Eng Chem Res, 2007, 46(7):2077-2091.
[8] CHEN Dan, SEBORG D E. PI/PID controller designbased on direct synthesis and disturbance rejection[J]. Ind Eng Chem Res, 2002, 41(19):4807-4822.
[9] AHMAD Ali,SOMANATH Majhi. PID controller tuning for integrating processes[J]. ISA Transactions, 2010, 49(1):70-78.
[10] 赵志诚,刘志远,张井岗.一种时滞过程内模PID控制器鲁棒整定方法[J].信息与控制,2010,39(5):526-530. ZHAO Zhicheng, LIU Zhiyuan, ZHANG Jinggang. A robust tuning method of internal model PID controller for process with time-delay[J].Information and Control, 2010, 39(5):526-530.
[11] WANG Yagang, SHAO Huihe. PID auto-tuner based on sensitivity specification[J]. Chemical Engineering Research and Design, 2000, 78(2):312-316.
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