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Advanced Prediction Method in Efficient MPC Algorithm Based on Fuzzy Hammerstein Models

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Computational Collective Intelligence. Technologies and Applications (ICCCI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6922))

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Abstract

An advanced prediction method utilizing fuzzy Hammerstein models is proposed in the paper. The prediction has such a form that the Model Predictive Control (MPC) algorithm using it is formulated as a numerically efficient quadratic optimization problem. The prediction is described by relatively simple analytical formulas. The key feature of the proposed prediction method is the usage of values of the future control changes which were derived by the MPC algorithm in the last iteration. Thanks to such an approach the MPC algorithm using the proposed method of prediction offers very good control performance. It is demonstrated in the example control system of a nonlinear control plant with significant time delay that the obtained responses are much better than those obtained in the standard MPC algorithm based on a linear process model.

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References

  1. Babuska, R., te Braake, H.A.B., van Can, H.J.L., Krijgsman, A.J., Verbruggen, H.B.: Comparison of intelligent control schemes for real–time pressure control. Control Engineering Practice 4, 1585–1592 (1996)

    Article  Google Scholar 

  2. Camacho, E.F., Bordons, C.: Model Predictive Control. Springer, Heidelberg (1999)

    Book  MATH  Google Scholar 

  3. Chang, F.C., Huang, H.C.: A refactoring method for cache–efficient swarm intelligence algorithms. Information Sciences (2010) (in press), doi:10.1016/j.ins.2010.02.025

    Google Scholar 

  4. Fink, A., Fischer, M., Nelles, O., Isermann, R.: Supervision of nonlinear adaptive controllers based on fuzzy models. Control Engineering Practice 8, 1093–1105 (2000)

    Article  Google Scholar 

  5. Janczak, A.: Identification of nonlinear systems using neural networks and polynomial models: a block–oriented approach. Springer, Heidelberg (2005)

    Book  MATH  Google Scholar 

  6. Maciejowski, J.M.: Predictive control with constraints. Prentice Hall, Harlow (2002)

    MATH  Google Scholar 

  7. Marusak, P.: Advantages of an easy to design fuzzy predictive algorithm in control systems of nonlinear chemical reactors. Applied Soft Computing 9, 1111–1125 (2009)

    Article  Google Scholar 

  8. Marusak, P.: Efficient model predictive control algorithm with fuzzy approximations of nonlinear models. In: Kolehmainen, M., Toivanen, P., Beliczynski, B. (eds.) ICANNGA 2009. LNCS, vol. 5495, pp. 448–457. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  9. Marusak, P.: On prediction generation in efficient MPC algorithms based on fuzzy Hammerstein models. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2010. LNCS (LNAI), vol. 6113, pp. 136–143. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  10. Morari, M., Lee, J.H.: Model predictive control: past, present and future. Computers and Chemical Engineering 23, 667–682 (1999)

    Article  Google Scholar 

  11. Piegat, A.: Fuzzy Modeling and Control. Physica–Verlag, Berlin (2001)

    Book  MATH  Google Scholar 

  12. Rossiter, J.A.: Model-Based Predictive Control. CRC Press, Boca Raton (2003)

    Google Scholar 

  13. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its application to modeling and control. IEEE Trans. Systems, Man and Cybernetics 15, 116–132 (1985)

    Article  MATH  Google Scholar 

  14. Tatjewski, P.: Advanced Control of Industrial Processes; Structures and Algorithms. Springer, London (2007)

    MATH  Google Scholar 

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Marusak, P.M. (2011). Advanced Prediction Method in Efficient MPC Algorithm Based on Fuzzy Hammerstein Models. In: Jędrzejowicz, P., Nguyen, N.T., Hoang, K. (eds) Computational Collective Intelligence. Technologies and Applications. ICCCI 2011. Lecture Notes in Computer Science(), vol 6922. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23935-9_19

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  • DOI: https://doi.org/10.1007/978-3-642-23935-9_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23934-2

  • Online ISBN: 978-3-642-23935-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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