Application of the fractional-order model in the problems of identification and order reduction for the controlled processes

Abstract

In the paper, the problems of an identification and order reduction of the dynamics models of controlled processes are solved by applying of fractional-order transfer functions of the form an aperiodic (non-oscillatory) system of the nth order with time delay, and an aperiodic system of the nth order with an integrator and delay, where n generally is a positive fractional constant. The solution of the problem is based on the method of moments. The problem is reduced to solving four polynomial equations with respect to the four coefficients of the model. In the symbolic computing environment Maple, an identification and order reduction program has been developed that implements the described algorithm. The efficiency of the algorithm was tested on test models.