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Modelling and analysis of fractional-order regulated systems in the state space

L. Dorcak·I. Petras·I. Kostial
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Abstract

In this paper we present the mathematical description and analysis of a fractional-order regulated system in the state space. A little historical background of our results in the analysis and synthesis of the fractional-order dynamical regulated systems is given. The methods and results of simulations of the fractional-order system described by a state space equation equivalent to three-member fractional-order differential equation with a fractional-order $PD^δ$ regulator are then presented. The possibility of investigating the stability of such systems is also considered.

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L. Dorcak, I. Petras, I. Kostial. 2000-07-26. Modelling and analysis of fractional-order regulated systems in the state space. https://arxiv.org/abs/math/0007155

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