English

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

Optimization and Control 2007-05-23 v1

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

Keywords

Cite

@article{arxiv.math/0007155,
  title  = {Modelling and analysis of fractional-order regulated systems in the state space},
  author = {L. Dorcak and I. Petras and I. Kostial},
  journal= {arXiv preprint arXiv:math/0007155},
  year   = {2007}
}

Comments

LaTeX v.2.09, 4 pages, 3 figures