arXiv subjects

I. Kostial

Publications and source records attributed to I. Kostial.

5 recordsLinked to original sources

arXiv2002

Identification of Fractional-Order Dynamical Systems

This contribution deals with identification of fractional-order dynamical systems. We consider systems whose mathematical description is a three-member differential equation in which the orders of derivatives can be real numbers. We give a discretization method and a numerical solution of differential equations of this type. An experimental method of identification is given which is based on evaluation of transfer characteristics. This is a combination of the method of derivatives of transfer characteristics and of the method of passive search. The verification was performed on systems with known parameters and also on a laboratory object.

math.OC↗

arXiv2002

State-Space Controller Design for the Fractional-Order Regulated System

In this paper we will present a mathematical description and analysis of a fractional-order regulated system in the state space and the state-space controller design based on placing the closed-loop poles on the complex plane. Presented are the results of simulations and stability investigation of this system.

math.OC↗

arXiv2002

Fractional-Order State Space Models

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.

math.OC↗

arXiv2000

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

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.

math.OC↗

arXiv2000

The modelling and analysis of fractional-order control systems in discrete domain

This paper deals with fractional-order controlled systems and fractional-order controllers in the discrete domain. The mathematical description by the fractional difference equations and properties of these systems are presented. A practical example for modelling the fractional-order control loop is shown and obtained results are discussed in conclusion.

math.OC↗