Abstract
An improved model reduction scheme is proposed here for higher-order processes and subsequently an enhanced IMC-PID controller is designed based on the obtained reduced model. In the proposed scheme, higher-order processes are estimated as first-order-plus-dead-time (FOPDT) model. Designed IMC controller includes a filter having two separate time constants with fractional order coefficients. Efficacy of the proposed model reduction scheme is verified in terms of closed loop performance evaluation for higher-order minimum and non-minimum phase process models in comparison with improved SIMC (iSIMC) controller (Grimholt. Optimal PI and PID control of first-order plus delay processes and evaluation of the original and improved SIMC rules. J Process Control. 2018;70:36–46). Overall performance enhancement for the proposed method is demonstrated through simulation study as well as real-time experimentation on a level control loop.
References
[1] Grimholt C, Skogestad S. Optimal PI and PID control of first-order plus delay processes and evaluation of the original and improved SIMC rules. J Process Control. 2018;70:36–46.10.1016/j.jprocont.2018.06.011Search in Google Scholar
[2] Desborough LD, Miller RM. Increasing customer value of industrial control performance monitoring-Honeywell’s experience. Chemical process control–VI (Tuscon, Arizona, Jan. 2001). AIChE Symp Series. 2002;326:169–89.Search in Google Scholar
[3] Li M, Meng X. Design and application of PID control system of IMC. Advances in Computer Science, Environment, Ecoinformatics, and Education, Springer Series Communications in Computer and Information Science 2011;218:94–9.10.1007/978-3-642-23357-9_18Search in Google Scholar
[4] Rivera DE, Morari M, Skogestad S. Internal model control. 4. PID controller design. Ind Eng Chem Res. 1986;25:252–65.10.1021/i200032a041Search in Google Scholar
[5] Chien IL. IMC–PID controller design-an extension. IFAC Proc Series. 1988;6:147–52.10.1016/S1474-6670(17)53816-1Search in Google Scholar
[6] Morari M, Zafiriou E. Robust process control. New Jersy: Prentice- Hall, 1989.Search in Google Scholar
[7] Skogestad S. Simple analytic rules for model reduction and PID controller tuning. J Process Control. 2003;13:291–309.10.1016/S0959-1524(02)00062-8Search in Google Scholar
[8] Lee J, Cho W, Edgar TF. Simple analytic PID controller tuning rules revisited. Ind Eng Chem Res. 2014;53:5038−47.10.1021/ie4009919Search in Google Scholar
[9] Skogestad S. Tuning for smooth PID control with acceptable disturbance rejection. Ind Eng Chem Res. 2006;45:7817–22.10.1021/ie0602815Search in Google Scholar
[10] Astrom KJ, Panagopoulos H, Hagglund T. Design of PI controllers based on non-convex optimization. Automatica. 1998;34:585–601.10.1016/S0005-1098(98)00011-9Search in Google Scholar
[11] Ali A, Majhi S. PI/PID controller design based on IMC and percentage overshoot specification to controller set point change. ISA Trans. 2009;48:10–5.10.1016/j.isatra.2008.09.002Search in Google Scholar PubMed
[12] Begum KG, Rao AS, Radhakrishnan TK. Maximum sensitivity based analytical tuning rules for PID controllers for unstable dead time processes. Chem Engg Res Design. 2016;109:593–606.10.1016/j.cherd.2016.03.003Search in Google Scholar
[13] Grimholt C, Skogestad S. Optimal PI-control and verification of the SIMC tuning rule. IFAC Proc Vol. 2012;45:11–22.10.3182/20120328-3-IT-3014.00003Search in Google Scholar
[14] Wang Q, Lu C, Pan W. IMC PID controller tuning for stable and unstable processes with time delay. Chem Eng Res Design. 2016;105:120–9.10.1016/j.cherd.2015.11.011Search in Google Scholar
[15] Saxena S, Hote YV. Simple approach to design PID controller via internal model control. Arab J Sci Eng. 2016;41:3473–89.10.1007/s13369-016-2027-4Search in Google Scholar
[16] Najafizadegan H, Merrikh-Bayat F, Jalilvand A. IMC-PID controller design based on loop shaping via LMI approach. Chem Eng Res Design. 2017;124:170–80.10.1016/j.cherd.2017.06.007Search in Google Scholar
[17] Shamsuzzoha M. IMC based robust PID controller tuning for disturbance rejection. J Cent South Univ. 2016;23:581–97.10.1007/s11771-016-3105-1Search in Google Scholar
[18] Shamsuzzoha M, Skogestad S. The setpoint overshoot method: A simple and fast closed-loop approach for PID tuning. J Process Control. 2010;20:1220–34.10.1016/j.jprocont.2010.08.003Search in Google Scholar
[19] Liu T, Gao F. Industrial process identification and control design. London: Springer-Verlag, 2012.10.1007/978-0-85729-977-2Search in Google Scholar
[20] Yu CC. Autotuning of PID controllers a relay feedback approach. London: Springer-Verlag, 2006.Search in Google Scholar
[21] User manual: Coupled Tank control experiments- 33-041S. East Sussex, UK: Feedback Instruments Ltd., 2010.Search in Google Scholar
[22] Sundaresan KR, Krishnaswamy RR Estimation of time delay, time constant parameters in time, frequency, and laplace domains. Can J Chem Eng. 1978;56:257–62.10.1002/cjce.5450560215Search in Google Scholar
[23] Seborg DE, Edgar TF, Mellichamp DA. Process dynamics and control. Singapore: Wiley, 2004.Search in Google Scholar
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