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Fractional-Order Model Predictive Control with Small Set of Coincidence Points

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 320))

Abstract

In the paper the possibility and conditions for employing the fractional-order differential calculus theory in the model predictive control are analyzed. First, the principle of the integer-order linear predictive control and theoretical foundations of the fractional-order differential calculus are reminded. Using the presented theoretical foundations attention is focused further on the possibility of employing the fractional-order calculus for model predictive control with a small set of coincidence points. The introduction of the fractional-order differential calculus at the stage of synthesizing the control algorithm offers an additional degree of freedom in tuning a control loop. The discussion is illustrated with results of simulation tests.

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Correspondence to Stefan Domek .

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Domek, S. (2015). Fractional-Order Model Predictive Control with Small Set of Coincidence Points. In: Latawiec, K., Łukaniszyn, M., Stanisławski, R. (eds) Advances in Modelling and Control of Non-integer-Order Systems. Lecture Notes in Electrical Engineering, vol 320. Springer, Cham. https://doi.org/10.1007/978-3-319-09900-2_13

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  • DOI: https://doi.org/10.1007/978-3-319-09900-2_13

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09899-9

  • Online ISBN: 978-3-319-09900-2

  • eBook Packages: EngineeringEngineering (R0)

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