Abstract
In the paper two approaches for a switched fractional-order State-space Model Predictive Control (FOSMPC) for non-linear fractional systems are proposed. In the first one the model is successively linearized on-line and used for prediction, in the second one a linear approximation along the future process trajectory is also used. In both cases, as a result of linearization, the future control policy is calculated by means of quadratic optimization. The discussed FOSMPC algorithms are able to compensate for deterministic constant-type external and internal disturbances. In order to illustrate implementation steps of both control methods, precise algorithms of calculations to be carried out on-line at each sampling instant are given.
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Domek, S. (2020). Switched Fractional State-Space Predictive Control Methods for Non-Linear Fractional Systems. In: Malinowska, A., Mozyrska, D., Sajewski, Ł. (eds) Advances in Non-Integer Order Calculus and Its Applications. RRNR 2018. Lecture Notes in Electrical Engineering, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-030-17344-9_9
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