Abstract
This paper presents a new method of approximation of linear time-invariant (LTI) discrete-time fractional-order state space systems by means of the Balanced Truncation Method. This reduction method is applied to the rational form of fractional-order system in terms of expanded state equation. As an approximation result we obtain rational and relatively low-order state space system. Simulation experiments show very high accuracy of the introduced methodology.
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Rydel, M., Stanisławski, R., Bialic, G., Latawiec, K.J. (2016). Modeling of Discrete-Time Fractional-Order State Space Systems Using the Balanced Truncation Method. In: Domek, S., Dworak, P. (eds) Theoretical Developments and Applications of Non-Integer Order Systems. Lecture Notes in Electrical Engineering, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-23039-9_10
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DOI: https://doi.org/10.1007/978-3-319-23039-9_10
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