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Received July 7, 2012
Accepted September 19, 2012
- This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
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A unified approach to the design of advanced proportional-integral-derivative controllers for time-delay processes
Faculty of Mechanical Engineering, University of Technical Education of Ho Chi Minh City, Vietnam 1School of Chemical Engineering, Yeungnam University, Gyeongsan 712-749, Korea
Korean Journal of Chemical Engineering, March 2013, 30(3), 546-558(13), 10.1007/s11814-012-0161-6
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Abstract
A unified approach for the design of proportional-integral-derivative (PID) controllers cascaded with firstorder lead-lag filters is proposed for various time-delay processes. The proposed controller’s tuning rules are directly derived using the Pade approximation on the basis of internal model control (IMC) for enhanced stability against disturbances. A two-degrees-of-freedom(2DOF) control scheme is employed to cope with both regulatory and servo problems. Simulation is conducted for a broad range of stable, integrating, and unstable processes with time delays. Each simulated controller is tuned to have the same degree of robustness in terms of maximum sensitivity (Ms). The results demonstrate that the proposed controller provides superior disturbance rejection and set-point tracking when compared with recently published PID-type controllers. Controllers’ robustness is investigated through the simultaneous introduction of perturbation uncertainties to all process parameters to obtain worst-case process-model mismatch. The processmodel mismatch simulation results demonstrate that the proposed method consistently affords superior robustness.
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References
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Shamsuzzoha M, Lee M, J. Chem. Eng. Jpn., 40(6), 501 (2007)
Rao AS, Chidambaram M, Ind. Eng. Chem. Res., 45(10), 3604 (2006)
Lee Y, Lee J, Park S, Chem. Eng. Sci., 55(17), 3481 (2000)
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Astrom KJ, Panagopoulos H, Hagglund T, Automatica, 34(5), 585 (1998)
Chien IL, Peng SC, Liu JH, J. Process Control, 12(3), 391 (2002)
Chien IL, Fruehauf PS, Chem. Eng. Prog., 86, 33 (1990)
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Rotstein GE, Lewin DR, Ind. Eng. Chem. Res., 30, 1864 (1991)
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Poulin E, Pomerleau A, IEE Proc.-Control Theory Appl., 143(5), 429 (1996)
Skogestad S, J. Process Control, 13(4), 291 (2003)