Abstract
It is well-known that the IMC-PID controller tuning gives fast and improved set point response but slow disturbance rejection. A modification has been proposed in IMC-PID tuning rule for the improved disturbance rejection. For the modified IMC-PID tuning rule, a method has been developed to obtain the IMC-PID setting in closed-loop mode without acquiring detailed information of the process. The proposed method is based on the closed-loop step set point experiment using a proportional only controller with gain K c0. It is the direct approach to find the PID controller setting similar to classical Ziegler-Nichols closed-loop method. Based on simulations of a wide range of first-order with delay processes, a simple correlation has been derived to obtain the modified IMC-PID controller settings from closed-loop experiment. In this method, controller gain is a function of the overshoot obtained in the closed loop set point experiment. The integral and derivative time is mainly a function of the time to reach the first peak (overshoot). Simulation has been conducted for the broad class of processes and the controllers were tuned to have the same degree of robustness by measuring the maximum sensitivity, M s, in order to obtain a reasonable comparison. The PID controller settings obtained in the proposed tuning method show better performance and robustness with other two-step tuning methods for the broad class of processes. It has also been applied to temperature control loop in distillation column model. The result has been compared to the open loop tuning method where it gives robust and fast response.
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SEBORG D, EDGAR T, MELLICHAMP D. Process dynamics and control [J]. New York: Wiley, 2004.
SHAMSUZZOHA M, LEE M. PID controller design for integrating process with time delay [J]. Korean Journal of Chemical Engineering, 2008, 25: 637–645.
SHAMSUZZOHA M, LEE M. IMCPID controller design for improved disturbance rejection of time-elayed processes [J]. Ind Eng Chem Res, 2007, 46: 2077–2091.
RIVERA D, MORARI M, SKOGESTAD S. Internal model control. 4. PID controller design [J]. Ind Eng Chem Process Des Dev, 1986, 25: 252–265.
SKOGESTAD S. Simple analytic rules for model reduction and PID controller tuning [J]. Journal of Process Control, 2003, 13: 291–309.
SHAMSUZZOHA M, LEE M. Design of advanced PID controller for enhanced disturbance rejection of second order process with time delay [J]. AIChE, 2008, 54: 1526–1536.
VU T, LEE M. A unified approach to the design of advanced proportional-integral-derivative controllers for time-delay processes [J] Korean Journal of Chemical Engineering, 2013, 30: 546–558.
RAO A, CHIDAMBARAM M. Enhanced two-degrees-of-freedom control strategy for second-order unstable processes with time delay [J]. Industrial and Engineering Chemistry Research, 2006, 46: 3604–3614.
SHAMSUZZOHA M, LEE S, LEE M. Analytical design of PID controller cascaded with a lead-lag filter for time-delay processes [J] Korean Journal of Chemical Engineering, 2009, 26: 622–630.
SHAMSUZZOHA M, SKOGESTAD S. The setpoint overshoot method: A simple and fast closed-loop approach for PID tuning [J]. Journal of Process Control, 2010, 20: 1220–1234.
YUWANA M, SEBORG D E. A new method for on-line controller tuning [J]. AIChE, 1982, 28: 434–440.
JUTAN A, RODRIGUEZ E. Extensions of a new method for on-line controller tuning [J]. Can J Chem Eng, 1984, 62: 802.
LEE J. On-line PID controller tuning from a single closed-loop test [J]. AIChE J, 1989, 35: 329–331.
CHEN C L. A simple method for on-line identification and controller tuning [J]. AICh E J, 1989, 35: 2037–2039.
ZIEGLER J G, NICHOLS N B. Optimum settings for automatic controllers [J]. Trans ASME, 1942, 64: 759–768.
LEE J, CHO W, EDGAR T. An improved technique for PID controller tuning from closed-loop tests [J]. AICh E J, 1990, 36: 1891–1895.
ÅSTRÖM K J, HÄGGLUND T. Automatic tuning of simple regulators with specifications on phase and amplitude margins [J]. Automatica, 1984, 20: 645–651.
TYREUS B, LUYBEN W. Tuning PI controllers for integrator/dead time processes [J]. Ind Eng Chem Res, 1992: 2625–2628.
HAUGEN F. Comparing PI tuning methods in a real benchmark temperature control system [J]. Modeling, Identification and Control, 2010, 31: 79–91.
HU W, XIAO G. Analytical proportional-integral (PI) controller tuning using closed-loop setpoint response [J]. Ind Eng Chem Res, 2011: 2461–2466.
GRIMHOLT C, SKOGESTAD S. Optimal PI control and verification of the SIMC tuning rule [C]// Proceedings of the IFAC Conference on Advances in PID Control PID’12. Brescia, Italy: IFAC, 2012.
SKOGESTAD S, GRIMHOLT C. The SIMC method for smooth PID controller [C]// PID Control in the Third Millennium, Advances in Industrial Control. Springer, 2012: 147–175.
SEKI H, SHIGEMASA T. Retuning oscillatory PID control loops based on plant operation data [J]. Journal of Process Control, 2010, 20: 217–227.
VERONESI M, VISIOLI A. Performance assessment and retuning of PID controllers for integral processes [J]. Journal of Process Control, 2010, 20: 261–269.
ALCANTARA S, VILANOVA R, PEDRET C. PID control in terms of robustness/performance and servo/regulator trade-offs: A unifying approach to balanced autotuning [J]. Journal of Process Control, 2013, 23: 527–542.
ALCANTARA S, VILANOVA R, PEDRET C, SKOGESTAD S. A look into robustness/performance and servo/regulation issues in PI tuning [C]// Proceedings of the IFAC Conference on Advances in PID Control PID’12. Brescia, Italy: IFAC, 2012.
LEE J, CHO W, EDGAR T F. Simple analytic PID controller tuning rules revisited [J]. Industrial & Engineering Chemistry Research, 2013, 52: 12973–12992.
TORRICO B C, CAVALCANTE M U, BRAGA A P, NORMEY-RICO J E, ALBUQUERQUE A A. Simple tuning rules for dead-time compensation of stable, integrative, and unstable first-order dead-time processes [J]. Industrial & Engineering Chemistry Research, 2013, 52: 11646–11654.
SHAMSUZZOHA M. A unified approach for proportional-integral-derivative controller design for time delay processes [J]. Korean Journal of Chemical Engineering, 2015, 32(4): 583–596.
SHAMSUZZOHA M. Robust PID controller design for time delay processes with peak of maximum sensitivity criteria [J]. Journal of Central South University, 2014, 21(10): 3777–3786.
ANWAR M, SHAMSUZZOHA M, PAN S. A frequency domain PID controller design method using direct synthesis approach [J]. Arabian Journal for Science and Engineering, 2015, 40(4): 995–1004.
SHAMSUZZOHA M, SKLIAR M, LEE M. PID control strategy for open-loop unstable processes with positive and negative zeros and time delay [J]. Asia-Pacific Journal of Chemical Engineering, 2012, 7: 93.
JIN Q B, LIU Q. Analytical IMC-PID design in terms of performance/robustness trade-off for integrating processes: From 2-Dof to 1-Dof [J]. Journal of Process Control, 2014, 24(3): 22–32.
JENG J C, TSENG W L, CHIU M S. A one-step tuning method for PID controllers with robustness specification using plant step-response data [J]. Chemical Engineering Research and Design, 2014, 92(3): 545–558.
ANIL C, SREE R P. PID control of integrating systems using Multiple Dominant Poleplacement method [J]. Asia-Pacific Journal of Chemical Engineering, 2015, doi: 10.1002/apj.1911.
FU E P, JENG J C. Closed-loop tuning of set-point-weighted proportional-integral-derivative controllers for stable, integrating, and unstable processes: A unified data-based method [J]. Industrial & Engineering Chemistry Research, 2015, 54(3): 1041–1058.
BUCKBEE G. ExperTune Inc [EB/OL]. [2009] http://www.expertune.com.
VISIOLI A. Practical PID control [J]. New York: Springer, 2006.
SHAMSUZZOHA M. Closed-loop PI/PID controller tuning for stable and integrating process with time delay [J]. Ind Eng Chem Res, 2013, 52: 12973–12992.
CHIEN I L, FRUEHAUF P. Consider IMC tuning to improve controller performance [J]. Chemical Engineering Progress, 1990, 86: 33–41.
LUYBEN W. Identification and tuning of integrating processes with deadtime and inverse response [J]. Ind Eng Chem Res, 2003, 42: 3030–3035.
WANG L, CLUETT W. Tuning PID controllers for integrating processes [J]. IEEE Proceedings-CTA, 1997, 144: 385–388.
CHEN D, SEBORG D. PI/PID controller design based on direct synthesis and disturbance rejection [J]. Industrial and Engineering Chemistry Research, 2002, 41: 4807–4822.
LUYBEN W L. Plantwide dynamic simulators in chemical processing and control [J]. New York: Marcel Dekker, Inc, 2002.
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Shamsuzzoha, M. IMC based robust PID controller tuning for disturbance rejection. J. Cent. South Univ. 23, 581–597 (2016). https://doi.org/10.1007/s11771-016-3105-1
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DOI: https://doi.org/10.1007/s11771-016-3105-1