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  3. Volume 5, Number 2, 2015
  4. Synthesis of automatic control systems by using binomial and butterworth standard fractional order forms

Synthesis of automatic control systems by using binomial and butterworth standard fractional order forms

JCPEE.
2015;
Volume 5, Number 2
: pp.89-94
Authors:
  1. Yaroslav Marushchak
  2. Bohdan Kopchak
1
Rzeszow Univesity of Technology
2
Lviv Polytechnic National University

The article deals with the application of binomial and Butterworth standard fractional order forms in the synthesis of control systems. This work aims at improving the method for the synthesis of fractional controllers for the systems of any structure, on condition of applying desired standard fractional order forms. Due to the usage of standard fractional forms, a range of possible settings for fractional order controllers in the synthesis of control system loops has been expanded and the better desired quality of transition processes in comparison with the integer order controllers has been provided. It has been proved that given the obtained research results for establishing the control system loops,, Butterworth standard fractional forms with 

= 0,9 ÷ 1,3, as well as the binomial ones with = 0,1 ÷ 2 can be recommended to apply since they meet the requirements of control objects. Some of the obtained results that can be recommended for practical use when configuring control systems are presented below. In terms of the research conducted, a maximum deviation between the simulation results and the desired ones does not exceed 1%. Thus, due to the proposed approach, the efficiency of the synthesized systems has been increased.
: synthesis of a fractional order controller
fractional order transfer function
standard fractional forms
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