Comparative Study of Three Practical IMC Algorithms with Inner Controller of First and Second Order

Vasile Cirtoaje, Alina Baiesu

Abstract


The structure of the studied IMC algorithms incorporates a plant model of first or second order plus deadtime (which can be obtained experimentally from the plant response to a step input) and a realizable inner controller of first or second order. The inner controller has not a tuning filter time constant as usual, but a tuning gain K that can be used by the process operator to generate a stronger or weaker control action. All algorithms have mainly four parameters: the tuning gain K and three model parameters (the model steady- state gain, the model deadtime and the model transient time). Some numerical applications are presented to show the control performance of each proposed algorithm for both proportional-type plants with and without overshoot. 


Full Text:

PDF

References


Adegbege, A., Heath, W., IMC Design for Input-Constrained Multivariable Process, AIChE Journal, Vol. 57, Issue 12: 3459-3472, 2011.

Bengtsson, G., Output regulation and internal models - a frequency domain approach, Automatica, 13(4): 333-345, 1977.

Bequette B.W., Process Control, Modeling, Design, and Simulation, Prentice Hall, 2003.

Brosilow, C., Joseph, B., Techniques of Model-Based Control, Prentice Hall PTR, 2002.

Chen, C.T., Linear System, Theory and Design, Third Edition, New York, Oxford University Press, 1999.

Cirtoaje, V., Algoritm de tip IMC pentru reglarea proceselor supraamortizate, Buletinul Universităţii “Petrol-Gaze” din Ploieşti, Vol. LVII, Seria Tehnică, 2, 25-30, 2005.

Cirtoaje, V. , Process Compensation Based Control, Buletinul Universităţii “Petrol-Gaze” din Ploieşti, Vol. LVIII, Seria Tehnică, 1, 48-53, 2006.

Francis, B., Wonham, W., The internal model principle of

control theory, Automatica , 12(5), pp. 457-465, 1976.

Garcia, C., Morari, M., Internal model control. A unifying review and some new results, Ind. Eng. Chem. Proc. Des. Dev., vol. 21, no. 2, pp. 308-323, 1982.

Horn, I., Arulandu, J., Gombas, C., VanAntwerp, J., Braatz, R., Improved Filter Design in Internal Model Control, Ind. Eng. Chem. Res., 35, 3437-3441, 1996.

Marlin, T., Process Control, New York, McGraw – Hill, Inc.. 1995.

Ogawa, H., Tanaka, R., Murakami, T., Ishida, Y., Designed of IMC Based on an Optimal Control for a Servo System, Journal of Control Science and Engineering, Article ID 689767, 5 pages, 2015.

Qiu, Z., Sun, J., Jankovic, M., Santillo, M., Nonlinear IMC desing for wastegate control of a turbocharged gasoline engine, Control Engineering Practice, 46: 105-111, 2016.

Rivera, D., Morari, M., Skogestad, S., Internal Model Control - PID Controller Design, Ind. Eng. Chem. Process Des. Dev., 25, 252-265, 1986.

Saxena, S., Hote, Y., Advances in Internal Model Control Technique: A Review and Future Prospects, IETE Technical Review, 29(6):461- 472, 2012.

Sontag, E. D., Mathematical Control Theory, Deterministic Finite, Second Edition, Springer, 1998.


Refbacks

  • There are currently no refbacks.