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Generalized Predictive Control of Arbitrary Real Order

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New Trends in Nanotechnology and Fractional Calculus Applications

Abstract

This paper proposes Fractional–Order Generalized Predictive Control (FGPC), a model-predictive control methodology that makes use of a cost function of arbitrary real order. FGPC uses two scalar parameters that represent fractional-order differentiation. These parameters can be tuned to achieve closed-loop specifications in a way much easier and faster than using the classical GPC weighting sequences.

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References

  1. Camacho EF, Bordóns C (2004) Model predictive control, 2nd ed. Springer, London

    MATH  Google Scholar 

  2. Clarke DW, Mohtadi C, Tuffs PS (1987a) Generalized predictive control. Part I. The basic algorithm. Automatica 23(2):137–148

    MATH  Google Scholar 

  3. Clarke DW, Mohtadi C, Tuffs PS (1987b) Generalized predictive control. Part II. Extensions and interpretations. Automatica 23(2):149–160

    MATH  Google Scholar 

  4. Clarke DW (1988) Application of generalized predictive control to industrial process. IEEE Cont Syst Mag 122:49–55

    Article  Google Scholar 

  5. Maciejowski JM (2002) Predictive control with constraints. Prentice Hall, Harlow, UK

    Google Scholar 

  6. Oldham KB, Spanier J (1974) The fractional calculus. Academic, New York

    MATH  Google Scholar 

  7. Podlubny I (1999) Fractional differential equations. Mathematics in science and engineering. Academic, San Diego, California

    MATH  Google Scholar 

  8. Romero M, de Madrid AP, Mañoso C, Hernández R (2007) Application of generalized predictive control to a fractional Order plant. Proceedings of IDETC07. Las Vegas, USA

    Google Scholar 

  9. Romero M, Vinagre BM, de Madrid AP (2008) GPC control of a fractional-order plant: improving stability and robustness. Proceedings of 17th IFAC world congress. Seoul, Korea

    Google Scholar 

  10. Rossiter JM (2003) Model-based predictive control. A practical approach. CRC, Boc Raton

    Google Scholar 

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Correspondence to Miguel Romero Hortelano .

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Hortelano, M.R., de Madrid y Pablo, Á.P., Hierro, C.M., Berlinches, R.H. (2010). Generalized Predictive Control of Arbitrary Real Order. In: Baleanu, D., Guvenc, Z., Machado, J. (eds) New Trends in Nanotechnology and Fractional Calculus Applications. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3293-5_35

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  • DOI: https://doi.org/10.1007/978-90-481-3293-5_35

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3292-8

  • Online ISBN: 978-90-481-3293-5

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