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

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

2000-07-26

arxiv.org/abs/math/0007155v1

ICCC'2000 conference, May 23-26, High Tatras, pp.185-188

Mathematics

Optimization and Control

LaTeX v.2.09, 4 pages, 3 figures

Scientific paper

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 $PD^{\delta}$ regulator are then presented. The possibility of investigating the stability of such systems is also considered.

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