Abstract
In this paper, Differential Evolution (DE) is used in the task of optimization of batch reactor geometry. The novality of the approach is that a discrete chaotic Lozi map is used as the chaotic pseudo random number generator to drive the mutation and crossover process in DE. The results obtained are compared with original reactor geometry and process parameters adjustment. The statistical analysis of the results given by chaos driven DE is compared with canonical DE strategy.
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References
He, Q., Wang, L.: An effective co-evolutionary particle swarm optimization for constrained engineering design problems. Engineering Applications of Artificial Intelligence 20, 89–99 (2007)
Silva, V.V.R., Khatib, W., Fleming, P.J.: Performance optimization of gas turbine engine. Engineering Applications of Artificial Intelligence 18, 575–583 (2005)
Tan, W.W., Lu, F., Loh, A.P., Tan, K.C.: Modeling and control of a pilot pH plant using genetic algorithm. Engineering Applications of Artificial Intelligence 18, 485–494 (2005)
Lepore, R., Wouwer, A.V., Remy, M., Findeisen, R., Nagy, Z., Allger, F.: Optimization strategies for a MMA polymerization reactor. Computers and Chemical Engineering 31, 281–291 (2007)
Rout, B.K., Mittal, R.K.: Optimal manipulator parameter tolerance selection using evolutionary optimization technique. Engineering Applications of Artificial Intelligence 21, 509–524 (2008)
Davendra, D., Zelinka, I., Senkerik, R.: Chaos driven evolutionary algorithms for the task of PID control. Computers & Mathematics with Applications 60(4), 1088–1104 (2010) ISSN 0898-1221
Senkerik, R., Davendra, D., Zelinka, I., Oplatkova, Z., Pluhacek, M.: Optimization of the Batch Reactor by Means of Chaos Driven Differential Evolution. In: Snasel, V., Abraham, A., Corchado, E.S. (eds.) SOCO Models in Industrial & Environmental Appl. AISC, vol. 188, pp. 93–102. Springer, Heidelberg (2013) ISBN: 978-3-642-32922-7
Pluhacek, M., Budikova, V., Senkerik, R., Oplatkova, Z., Zelinka, I.: On the Performance of Enhanced PSO Algorithm with Lozi Chaotic Map – an Initial Study. In: Proceedings of the 18th International Conference on Soft Computing, MENDEL 2012, pp. 40–45 (2012) ISBN 978-80-214-4540-6
Silva, C.M., Biscaia, E.C.: Genetic algorithm development for multi-objective optimization of batch free-radical polymerization reactors. Computers and Chemical Engineering 27, 1329–1344 (2003)
Arpornwichanop, A., Kittisupakorn, P., Mujtaba, M.I.: On-line dynamic optimization and control strategy for improving the performance of batch reactors. Chemical Engineering and Processing 44(1), 101–114 (2005)
Srinisavan, B., Palanki, S., Bonvin, D.: Dynamic optimization of batch processes I. Characterization of the nominal solution. Computers and Chemical Engineering 27, 1–26 (2002)
Srinisavan, B., Palanki, S., Bonvin, D.: Dynamic optimization of batch processes II. Role of Measurement in handling uncertainly. Computers and Chemical Engineering 27, 27–44 (2002)
Wang, Y., Zhou, D., Gao, F.: Iterative learning model predictive control for multi-phase batch processes. Journal of Process Control 18, 543–557 (2008)
Cho, W., Edgar, T.F., Lee, J.: Iterative learning dual-mode control of exothermic batch reactors. Control Engineering Practice 16, 1244–1249 (2008)
Beyer, M.A., Grote, W., Reinig, G.: Adaptive exact linearization control of batch polymerization reactors using a Sigma-Point Kalman Filter. Journal of Process Control 18, 663–675 (2008)
Sarma, P.: Multivariable gain-scheduled fuzzy logic control of an exothermic reactor. Engineering Applications of Artificial Intelligence 14, 457–471 (2001)
Sberg, J., Mukul, A.: Trajectory tracking in batch processes using neural controllers. Engineering Applications of Artificial Intelligence 15, 41–51 (2002)
Mukherjee, A., Zhang, J.: A reliable multi-objective control strategy for batch processes based on bootstrap aggregated neural network models. Journal of Process Control 18, 720–734 (2008)
Mujtaba, M., Aziz, N., Hussain, M.A.: Neural network based modelling and control in batch reactor. Chemical Engineering Research and Design 84(8), 635–644 (2006)
Causa, J., Karer, G., Nunez, A., Saez, D., Skrjanc, I., Zupancic, B.: Hybrid fuzzy predictive control based on genetic algorithms for the temperature control of a batch reactor. Computers and Chemical Engineering (2008), doi:10.1016/j.compchemeng, 05.014
Altinten, A., Ketevanlioglu, F., Erdogan, S., Hapoglu, H., Alpbaz, M.: Self-tuning PID control of jacketed batch polystyrene reactor using genetic algorithm. Chemical Engineering Journal 138, 490–497 (2008)
Faber, R., Jockenhel, T., Tsatsaronis, G.: Dynamic optimization with simulated annealing. Computers and Chemical Engineering 29, 273–290 (2005)
Price, K.: An Introduction to Differential Evolution. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 79–108. McGraw-Hill, London (1999) ISBN 007-709506-5
Price, K., Storn, R.: Differential evolution homepage (2001), http://www.icsi.berkeley.edu/~storn/code.html
Caponetto, R., Fortuna, L., Fazzino, S., Xibilia, M.: Chaotic sequences to improve the performance of evolutionary algorithms. IEEE Trans. Evol. Comput. 7(3), 289–304 (2003)
Sprott, J.C.: Chaos and Time-Series Analysis. Oxford University Press (2003)
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Senkerik, R., Davendra, D., Zelinka, I., Pluhacek, M., Kominkova Oplatkova, Z. (2013). Chaos Driven Differential Evolution with Lozi Map in the Task of Chemical Reactor Optimization. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2013. Lecture Notes in Computer Science(), vol 7895. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38610-7_6
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DOI: https://doi.org/10.1007/978-3-642-38610-7_6
Publisher Name: Springer, Berlin, Heidelberg
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