Abstract
This article will show new approach to control the system with inverted pendulum with fractional-order \(PI^\lambda D^\mu \) controller. It is new method used in simply mechanics system. The transfer function of the classical PID controller and \(PI^\lambda D^\mu \) controller will be presented. The transfer function of the \(PI^\lambda D^\mu \) controller will be approximated with two methods: Taylor polynomial, Oustaloup recursive approximation. Model of inverted pendulum is well known. The settings times and overshoot of the systems with classical PID controller will be compare with system with fractional-order \(PI^\lambda D^\mu \) controller.
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Gertner, M. (2019). Application of Fractional-Order Controller. In: Ostalczyk, P., Sankowski, D., Nowakowski, J. (eds) Non-Integer Order Calculus and its Applications. RRNR 2017. Lecture Notes in Electrical Engineering, vol 496. Springer, Cham. https://doi.org/10.1007/978-3-319-78458-8_17
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DOI: https://doi.org/10.1007/978-3-319-78458-8_17
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