Abstract
An efficient fuzzy predictive control algorithm based on Hammerstein models is proposed in the paper. The algorithm uses the DMC (Dynamic Matrix Control) technique and a Hammerstein model, in which fuzzy static block precedes a linear dynamic block. The static block may be identified easily using, e.g. heuristic approach and/or fuzzy neural networks. The dynamic part of the model has the form of control plant step responses. The proposed algorithm is little complicated and numerically effective (the main part of calculations is performed off–line) but it offers better control performance than a classical algorithm (based on a linear model). It is demonstrated in the example control system of a nonlinear control plant with significant delay.
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References
Abonyi, J., Babuska, R., Ayala Botto, M., Szeifert, F., Nagy, L.: Identification and control of nonlinear systems using fuzzy Hammerstein models. Industrial & Engineering Chemistry Research 39, 4302–4314 (2000)
Blevins, T.L., McMillan, G.K., Wojsznis, W.K., Brown, M.W.: Advanced Control Unleashed. ISA – The Instrumentation, Systems, and Automation Society, Research Triangle Park (2003)
Camacho, E.F., Bordons, C.: Model Predictive Control. Springer, London (1999)
Cutler, C.R., Ramaker, B.L.: Dynamic Matrix Control – a computer control algorithm. In: Proceedings of the Joint Automatic Control Conference, San Francisco, CA, USA (1979)
Janczak, A.: Identification of nonlinear systems using neural networks and polynomial models: a block-oriented approach. Springer, Heidelberg (2005)
Jurado, F.: Predictive control of solid oxide fuel cells using fuzzy Hammerstein models. Journal of Power Sources 158, 245–253 (2006)
Maciejowski, J.M.: Predictive control with constraints. Prentice Hall, Harlow (2002)
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)
Marusak, P.: Efficient model predictive control algorithm with fuzzy approximations of nonlinear models. In: ICANNGA 2009, vol. 5495, pp. 448–457. Springer, Heidelberg (2009)
Marusak, P., Tatjewski, P.: Stability analysis of nonlinear control systems with unconstrained fuzzy predictive controllers. Archives of Control Sciences 12, 267–288 (2002)
Marusak, P., Tatjewski, P.: Effective dual–mode fuzzy DMC algorithms with on–line quadratic optimization and guaranteed stability. International Journal of Applied Mathematics and Computer Science 19, 127–141 (2009)
Piegat, A.: Fuzzy Modeling and Control. Physica–Verlag, Berlin (2001)
Rossiter, J.A.: Model–Based Predictive Control. CRC Press, Boca Raton (2003)
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)
Tanaka, K., Sugeno, M.: Stability analysis and design of fuzzy control systems. Fuzzy Sets and Systems 45, 135–156 (1992)
Tatjewski, P.: Advanced Control of Industrial Processes, Structures and Algorithms. Springer, London (2007)
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Marusak, P.M. (2010). Efficient Predictive Control Algorithm Based on Fuzzy Hammerstein Models: A Case Study. In: Gao, XZ., Gaspar-Cunha, A., Köppen, M., Schaefer, G., Wang, J. (eds) Soft Computing in Industrial Applications. Advances in Intelligent and Soft Computing, vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11282-9_2
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DOI: https://doi.org/10.1007/978-3-642-11282-9_2
Publisher Name: Springer, Berlin, Heidelberg
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