Simulating of fractional nonstationary control systems by the soectral method in engineering calculation software

Аuthors

Rybin V. V.

e-mail: dep805@mai.ru

Abstract

Presently various mathematical computer-oriented systems and their extension packages are used for simulating of nonstationary control systems by the spectral method. Modern technologies such as the use of fractals in radio engineering, radiolocation, dynamical system theory generate the new electronic components. These component models contain fractional integral and differential operators. In this paper the spectral method is generalized for control systems which contain fractional integral and differential units. To simulate such systems the extension packages MLSY_SM, Spektr_SM+Simulink+Matlab, Spektr_SM+VisSim+Mathcad are modified. MLSY_SM extension package for Mathcad is applied to study the effect for the fractional order of the target coordinator of homing system under random noise.

Keywords:

simulating; fractional nonstationary control systems; spectral form of the mathematical description; mathematical computer-oriented systems; fractional integral and differential units.