Scientific and Technical Journal

ELECTROTECHNIC AND COMPUTER SYSTEMS

ISSN Print 2221-3937
ISSN Online 2221-3805
FRACTIONAL STANDARD FORMS FOR SYNTHESIS OF ELECTROMECHANICAL SYSTEMS
Abstract:

Synthesis of electromechanical systems (EMS) with root methods widely applies standard forms of poles distribution in the complex plane. Provided EMS is presented by transfer function without zeros, dynamic processes in it are completely determined by the expression of the characteristic polynomial of H(s). The authors suggest the approach to the synthesis of fractional order EMC which is analogous to the root methods, provided the desired characteristic polynomial Hbazh(s) of fractional order is described with the expression for which transition functions are known. It is our understanding that standard forms of fractional order mean familiar transition functions described with the corresponding expressions Hbazh(s) of fractional order q in the absence of zeros of the transfer function of such EMC. Therefore, during the synthesis of fractional order one can choose among transition functions the desired one and add it to the expression Hbazh(s) of fractional order. In addition, Hbazh(s) can be used for the synthesis of EMC controllers   in which the object of regulation is described by H(s) of full order, and the synthesis is to provide a system with dynamical properties described with Hbazh(s) of fractional order. Obviously, in this case we will get a regulator of fractional order. This paper analyzes fractional standard forms of Butterworth and a binomial one in MATLAB environment. Based on the transient functions and frequency characteristics, the recommendations have been made on the possibility of their usage for the synthesis of circuits of electromechanical systems with desired dynamic performance parameters.

Authors:
Keywords
DOI
10.15276/etks.15.91.2014.10
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