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Received June 30, 2013
Accepted March 2, 2014
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Smith predictor based fractional-order PI control for time-delay processes
Faculty of High Quality Training, University of Technical Education, Ho Chi Minh City, Vietnam 1School of Chemical Engineering, Yeungnam University, Gyeongsan 712-749, Korea
Korean Journal of Chemical Engineering, August 2014, 31(8), 1321-1329(9), 10.1007/s11814-014-0076-5
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Abstract
A new fractional-order proportional-integral controller embedded in a Smith predictor is systematically proposed based on fractional calculus and Bode’s ideal transfer function. The analytical tuning rules are first derived by using the frequency domain for a first-order-plus-dead-time process model, and then are easily applied to various dynamics, including both the integer-order and fractional-order dynamic processes. The proposed method consistently_x000D_
affords superior closed-loop performance for both servo and regulatory problems, since the design scheme is simple, straightforward, and can be easily implemented in the process industry. A variety of examples are employed to illustrate the simplicity, flexibility, and effectiveness of the proposed SP-FOPI controller in comparison with other reported controllers in terms of minimum the integral absolute error with a constraint on the maximum sensitivity value.
Keywords
References
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Lee D, Lee M, Sung S, Lee I, J. Process Control, 9(1), 79 (1999)
Morari M, Zafiriou E, Robust Process Control, Prentice-Hall, Englewood Cliffs, NJ (1989)
Zhou HQ, Wang QG, Min L, ISA Transactions, 46, 493 (2007)
Rao AS, Chidambaram M, ISA Transactions, 47, 407 (2008)
Miller KS, Ross B, An introduction to the fractional calculus and fractional differential equations, Wiley-Interscience (1993)
Oustaloup A, La Commande CRONE: Commande Robuste d’Ordre Non Entier, Hermes, Paris (1991)
Podlubny I, IEEE Trans. Autom. Control, 44(1), 208 (1999)
Barbosa RS, Machado T, Ferreira IM, Nonlinear Dynamics, 38, 305 (2004)
Monje CA, Vinagre BM, Feliu V, Chen YQ, Control Eng. Pract., 16, 798 (2008)
Vu TNL, Lee M, ISA Transactions, 52, 583 (2013)
Feliu-Batlle V, Perez RR, Garcia FJC, Rodriguez LS, J. Process Control, 19(3), 506 (2009)
Monje CA, Chen YQ, Vinare BM, Xue D, Feliu V, Fractional order systems and controls funamental and application, Spinger-Velag (2010)
Bode HW, Bell System Technical J., 19, 421 (1940)
Bode HW, Network analysis and feedback amplifier design, Van Nostrand, New York (1945)
Padula F, Visioli A, J. Process Control, 21(1), 69 (2011)
Chen YQ, Bhaskaran T, Xue D, ASME J. Computational and Nonlinear Dynamics, 3, 0214031 (2008)
Gude JJ, Kahoraho E, IEEE International Conference on Emerging Technologies and Factory Automation (ETFA) (2009)
Podlubny I, Dorcak L, Kostial I, Proceedings of the 36th IEEE CDC, San Diego (1999)
Mohamed KB, Naceur BB, Commun Nonlinear SCI Numer Simulat, 15, 1267 (2010)
Oustaloup A, Levron F, Nanot F, EEE Trans Systems I: Fundamental Theory and Applications, 47, 25 (2000)
Lee Y, Park S, Lee M, Brosilow C, AIChE J., 44(1), 106 (1998)
Rivera DE, Morari M, Skogestad S, Ind. Eng. Chem. Proc. Des. Dev., 25, 252 (1986)
