Abstract
This paper presents a new design method of decentralized fractional order PI controller (FO-PI) with decoupler for the pilot plant binary distillation column (multivariable process). The process is transformed into two independent SISO systems by introducing a simple decoupler to reduce the interaction. The Optimal parameters of the FO-PI controllers are tuning by minimizing performance index criterion as objective function for each SISO system. The non standard transfer function of the fractional order controllers are performed by means of diffusive approach. The simulation results show the superior performance obtained by decentralized fractional PI controller (FO-PI) in comparison with classical control such as Non-Dimensional Tuning (NDT) method and Simplified Internal Model Control (SIMC) technique.
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References
Lee J, Kim D, Edgar T (2005) Static decouplers for control of multivariable processes. Am Inst Chem Eng 51(10):2712–2720
Wang QG, Huang B, Guo X (2000) Auto-tuning of TITO decoupling controllers from step tests. ISA Trans 39:407–418
Nordfeldt P, Hagglund T (2006) Decoupler and PID controller design of TITO systems. J Process Control 16(9):923–936
Ram DV, Chidambaram M (2015) Simple method of designing centralized PI controllers for multivariable 155 systems based on SSGM. ISA Trans 56:252–260
Majaaz V, Bhat S, Thirunavukkarasu I, Shanmuga Priya S (2015) Centralized controller tuning for MIMO process with time delay. In: IEEE Xplorer, 4th international conference on renewable energy research and applications, Palermo, Italy, pp 660–664
Hajare VD, Patre BM (2015) Decentralized PID controller for TITO systems using characteristic ratio assignment with an experimental application. ISA Trans 59:385–397
Hu W, Cai WJ, Xiao G (2010) Decentralized control system design for MIMO processes with integrators/differentiators. Ind Eng Chem Res 49(24):12521–12528
Labibi B, Marquez HJ, Chen T (2009) Decentralized robust PI controller design for an industrial boiler. J Process Control 19(2):216–230
Maghade DK, Patre BM (2012) Decentralized PI/PID controllers based on gain and phase margin specifications for TITO processes. ISA Trans 51(4):550–558. https://doi.org/10.1016/j.conengprac.2005.06.006
Tavakoli S, Griffin I, Fleming PJ (2006) Tuning of decentralised PI (PID) controllers for TITO processes. Control Eng Pract 14(9):1069–1080. https://doi.org/10.1016/j.conengprac.2005.06.006
Santhosh Kumar PL, Selva Kumar S, Thirunavukkarasu I, Bhat VS (2018) Decentralized PI controllers with decoupler for the distillation column. Int J Pure Appl Math 118(20):9–14
Vinagre BM, Feliú V (2002) In: Proceedings: 41st IEEE conference on decision and control, Las Vegas, 9 December 2002
Podlubny I, Dorcak L, Kostial I (1997) On fractional derivatives, fractional-order dynamic system and PID-controllers. In: Proceedings of the 36th conference on decision & control, vol 5, pp 4985–4990
Çelik V, Demir Y (2010) Effects on the chaotic system of fractional order PIα controller. Nonlinear Dyn 59(1–2):143–159
Sabatier J, Agrawal OP, Tenreiro Machado JA (2007) Advances in fractional calculus: theoretical developments and applications in physics and engineering. Springer, the Netherlands
Monje CA, Chen YQ, Vinagre BM, Xue DY, Feliu V (2010) Fractional-order systems and controls: fundamentals and Applica-tions. Springer, London
Podlubny I (1999) Fractional order systems and PIλDμ controllers. IEEE Trans Autom Control 44:208–214
Boudjehem D, Sedraoui M, Boudjehem B (2013) A fractional model for robust fractional order smith predictor. Nonlinear Dyn 73:1557–1563
Boudjehem B, Boudjehem D (2013) Fractional order controller design for desired response. J Syst Control Eng 227:243–251
Aydogdu O, Korkmaz M (2019) Optimal design of a variable coefficient fractional order PID controller by using heuristic optimization algorithms. Int J Adv Comput Sci Appl (IJACSA) 10(3)
Boudjehem B, Boudjehem D (2016) Fractional PID controller design based on minimizing performance indices. IFAC-PapersOnLine 49(9):164–168
Cajo R, Muresan CI, Ionescu R, Keyser D (2018) Plaza-multivariable fractional order pi autotuning method for heterogeneous dynamic systems. IFAC-PapersOnLine 51-4:865–870
Edet E, Katebi R (2018) On fractional-order PID controllers. In: 3rd IFAC conference on advances in proportional integral-derivative control Ghent, Belgium, 9–11 May, IFACpapersOnline 51-4:739–744
Lakshmanaprabu SK, Sabura Banu U, Hemavathy PR (2017) Fractional order IMC based PID controller design using Novel Bat optimization algorithm for TITO process. Energy Proc 117:1125–1133
Gargi B, Somanath M, Chitralekha M (2018) Auto-tuning of FOPI controllers for TITO processes with experimental validation. Int J Autom Comput. https://doi.org/10.1007/s11633-018-1140-0
Bhat VS, Thirunavukkarasu I, Janani R (2017) Design and implementation of MSC based multi-loop pid controller for pilot plant binary distillation column. In: International conference on circuits power and computing technologies [ICCPCT]. IEEE
Bhat VS, Thirunavukkarasu I, Priya SS (2016) Design and implementation of decentralized pi controller for pilot plant binary distillation column. Int J ChemTech Res 10(2):284
Podlubny I (1999) Fractional differential equations. Academic Press, California
Oldham KB, Spanier J (1974) The fractional calculus, theory and applications differentiation and integration to arbitrary order. Elsevier. ISBN 0486450015
Montseny G (2004) Simple approach to approximation and dynamical realization of pseudo differential time operators such as fractional ones. Int EEE Trans Circuits Syst II 51:613–618. https://doi.org/10.1109/TCSII.2004.834544
Laudebat L, Bidan P, Montseny G (2004) Modeling and optimal identification of pseudo deferential dynamics by means of diffusive representation part i: modeling. Int EEE Trans Circuits Syst 51:1801–1813. https://doi.org/10.1109/TCSI.2004.834501
Skogestad S (2003) Simple analytic rules for model reduction and PID controller tuning. J Process Control 13:291–309
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Laifa, S., Boudjehem, B., Gasmi, H. (2021). Design Fractional Order PI Controller with Decoupler for MIMO Process Using Diffusive Representation. In: Bououden, S., Chadli, M., Ziani, S., Zelinka, I. (eds) Proceedings of the 4th International Conference on Electrical Engineering and Control Applications. ICEECA 2019. Lecture Notes in Electrical Engineering, vol 682. Springer, Singapore. https://doi.org/10.1007/978-981-15-6403-1_23
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