Fractional-Order State Space Models

2002/04/15 by L. Dorcak, I. Petras, I. Kostial +1
Mathematics · #math.OC #msc:26A33 #msc:93C55 #msc:65D25 #msc:93C05

paper · pdf

published as Proceedings of 3rd ICCC'2002, Malenovice, Czech Republic, May 27 - 30, 2002, pp. 193 - 198, ISBN 80-248-0089-6 · PDF Version 1.3, 6 pages, 2 figures

arxiv created 2002/04/15 · arxiv updated 2009/11/30

Abstract

In this paper we will present some alternative types of mathematical description and methods of solution of the fractional-order dynamical system in the state space. We point out the difference in the true sense of the name "state" space for the integer-order and fractional-order system and the importance of the initialization function for the fractional-order system. Some implications concerning the state feedback control theory are discussed. Presented are the results of simulations.

Related

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