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Chaos Driven Differential Evolution with Lozi Map in the Task of Chemical Reactor Optimization

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Artificial Intelligence and Soft Computing (ICAISC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7895))

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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

  1. 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)

    Article  Google Scholar 

  2. Silva, V.V.R., Khatib, W., Fleming, P.J.: Performance optimization of gas turbine engine. Engineering Applications of Artificial Intelligence 18, 575–583 (2005)

    Article  Google Scholar 

  3. 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)

    Article  Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. Rout, B.K., Mittal, R.K.: Optimal manipulator parameter tolerance selection using evolutionary optimization technique. Engineering Applications of Artificial Intelligence 21, 509–524 (2008)

    Article  Google Scholar 

  6. 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

    Google Scholar 

  7. 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

    Chapter  Google Scholar 

  8. 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

    Google Scholar 

  9. 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)

    Article  Google Scholar 

  10. 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)

    Article  Google Scholar 

  11. 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)

    Article  Google Scholar 

  12. 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)

    Article  Google Scholar 

  13. Wang, Y., Zhou, D., Gao, F.: Iterative learning model predictive control for multi-phase batch processes. Journal of Process Control 18, 543–557 (2008)

    Article  Google Scholar 

  14. Cho, W., Edgar, T.F., Lee, J.: Iterative learning dual-mode control of exothermic batch reactors. Control Engineering Practice 16, 1244–1249 (2008)

    Article  Google Scholar 

  15. 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)

    Article  Google Scholar 

  16. Sarma, P.: Multivariable gain-scheduled fuzzy logic control of an exothermic reactor. Engineering Applications of Artificial Intelligence 14, 457–471 (2001)

    Article  Google Scholar 

  17. Sberg, J., Mukul, A.: Trajectory tracking in batch processes using neural controllers. Engineering Applications of Artificial Intelligence 15, 41–51 (2002)

    Article  Google Scholar 

  18. 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)

    Article  Google Scholar 

  19. 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)

    Article  Google Scholar 

  20. 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

    Google Scholar 

  21. 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)

    Article  Google Scholar 

  22. Faber, R., Jockenhel, T., Tsatsaronis, G.: Dynamic optimization with simulated annealing. Computers and Chemical Engineering 29, 273–290 (2005)

    Article  Google Scholar 

  23. 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

    Google Scholar 

  24. Price, K., Storn, R.: Differential evolution homepage (2001), http://www.icsi.berkeley.edu/~storn/code.html

  25. 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)

    Article  Google Scholar 

  26. Sprott, J.C.: Chaos and Time-Series Analysis. Oxford University Press (2003)

    Google Scholar 

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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

  • Print ISBN: 978-3-642-38609-1

  • Online ISBN: 978-3-642-38610-7

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