The Analysis of the Relationship between the Parameters of the Nonlinear Object of Control and its Transfer Function of the Fractional Order

Abstract

The paper deals with the search for the interrelations between the parameters of the nonlinear object of control and the fractional order transfer function by which it is identified. A series excitation direct current motor is used as a nonlinear object. The moment of inertia and the moment of resistance on the motor shaft and the supply voltage were assumed to be the parameters of variation. Their change influences not only the quantitative indices of the transfer characteristic but also the qualitative ones. FOMCON MATLAB Toolbox is used for the identification of the coefficients of the fractional order transfer function. The obtained results testify to the existence of the relationship between the motor parameters and the coefficients of the fractal function. The obtained dependences are exponential for the moment of resistance and extreme for supply voltage and the moment of inertia.