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

2000/07/26 by L. Dorcak, I. Petras, I. Kostial
Mathematics · #math.OC #msc:26A33 #msc:9305

paper · pdf

published as ICCC'2000 conference, May 23-26, High Tatras, pp.185-188 · LaTeX v.2.09, 4 pages, 3 figures

arxiv created 2000/07/26 · arxiv updated 2009/11/30

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.

Related

• Fractional-Order State Space Models
• State-Space Controller Design for the Fractional-Order Regulated System
• Numerical Models for the Simulation of the Fractional-Order Control Systems
• The modelling and analysis of fractional-order control systems in discrete domain
• The modelling and analysis of fractional-order control systems in frequency domain