Synthesis method of fast fuzzy-controllers

Authors

  • Yu. Romasevych National University of Life and Environmental Sciences of Ukraine image/svg+xml
  • V. Loveikin National University of Life and Environmental Sciences of Ukraine image/svg+xml
  • A. Lyashko National University of Life and Environmental Sciences of Ukraine image/svg+xml

DOI:

https://doi.org/10.31548/energiya2019.05.005

Abstract

Abstract. A method for the synthesis of fast automatic controllers based on fuzzy-logic has been developed. The method is a multi-stage procedure in which the results of the previous stage are used in the current. The idea on which the method is based is that the duration of access to the function obtained during the application of the method is much shorter than the duration of access to the function of the original fuzzy-controller. The essence of the method is to synthesize a fuzzy-controller, build on its basis a tabulated function in the form of an input-output of the original fuzzy controller, approximate the data using a polynomial or spline model, and optimize model’s parameters. A detailed description of the individual steps of the method has been given as well as recommendations for their implementation have been indicated.

In order to confirm the effectiveness of the developed method, a fast fuzzy-controller has been synthesized in the problem of a vehicle’s speed control. The input vector contains two components: the speed error and its integral. The output signal of the controller corresponds to the driving force of the vehicle’s drive. Three terms have been taken as input variables, five – for the output one. In the calculations, the simplest л- and z-shaped membership functions have been used.

On the basis of the developed fuzzy-controller, its fast analog has been obtained, which made it possible to improve the quality of speed control by the value of the integral average error.

A statistical analysis of the speed of access to the functions of the fast and the original fuzzy-controllers has been carried out. The performance of the fast fuzzy-controller has increased by two orders of magnitude, which will positively affect the reduction of hardware requirements for fuzzy-controllers.

Key words: fuzzy-controller, algorithm, speed, modeling, quality, approximation

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Published

2019-12-16

Issue

No. 5 (2019)

Section

Статті

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