On the possibility of spectral method using for synthesis of mechanical engineering electric drive control systems

Abstract

The paper identifies prospective areas for electric drive control systems development and possibilities for their qualitative improvement. Application of the spectral method to the synthesis of electric drive control systems is under consideration. The wavelet spectrum processing capability estimation under the conditions of digital implementation of the controller and automatic control systems in general is given. It is proposed to use a system of basis functions different from the traditional one. Main requirements to basis functions are considered. The approach based on the integrated form of equations is proposed and its advantages for solution of the set problems are revealed. The conditions for the generating wavelet are stated and the possibility of numerical implementation based on the function of inverse wavelet transform is shown. It is illustrated that the dyadic wavelet transform of signals meets the basic requirements for basic functions systems. The suggested method guarantees that, in case of arbitrary increase of the rank members, the loss of the synthesis algorithm numerical stability would only be concerned with the peculiarities of the computer and the implementation of linear algebra algorithms.