Investigation of membership functions parameters of three-dimensional interval fuzzy controller for ultrasound cleaning

О. Кravchenko

Investigation of membership functions parameters of three-dimensional interval fuzzy controller for ultrasound cleaning

О. Кravchenko

Received 14.12.2021, Revised 16.03.2022, Accepted 26.04.2022

Abstract

Purpose. Determine the optimal values for the membership function parameters of a three-dimensional fuzzy interval controller to improve the energy efficiency of the ultrasonic cleaning process. Research methods. Modeling using available software to simulate the propagation of high-intensity ultrasonic waves. Scientific novelty. Based on the analysis of the simulation results of the ultrasonic cleaning process, the optimal values for the parameters of the membership functions of the three-dimensional fuzzy interval controller are obtained. Practical significance. The dependences between the parameters of the membership functions of the three-dimensional fuzzy interval controller and the intensity coefficients of the emitters and the total value of the maximum pressure in the contaminated area were identified. Results. The influence of the parameters of the upper and lower memberships functions given as exponential dependences with the maximum value at the minimum distance between the emitter and the sensor was investigated. When analyzing the data obtained, the following regularities were revealed: at the first purification the maximum and minimum values of initial coefficients of intensities for the same emitters are observed, but insignificant fluctuations are observed for others. Due to these fluctuations there is an effect of difference accumulation, and in the last stage of cleaning the main emitter for different values of the accessory function parameters does not always coincide. The main criterion for the effectiveness of ultrasonic cleaning was the total value of the maximum pressure in the contaminated area. The optimal values for the parameters of the membership functions σ1 = 0.1 and σ2 = 4. Decreasing σ1 distorted the operation of the algorithm in general, because there was a division by a number close to 0. Extending the interval by increasing σ2 led to a decrease in the total value of maximum pressure in the contaminated region. Thus, the parameters σ1 and σ2 are in a significant range, with σ1 close enough to 0, and the value of σ2 should be determined depending on the ratio of the number of emitters and sensors, because increasing the difference between σ1 and σ2 after a certain value has no effect

Keywords:

three-dimensional fuzzy interval controller; membership functions; modeling; ultrasonic cleaning

Retrieved from Vol. 20, No. 1, 2022

Pages 173–178

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Кravchenko, О. (2022). Investigation of membership functions parameters of three-dimensional interval fuzzy controller for ultrasound cleaning. Journal of Kryvyi Rih National University, 20(1), 173-178. https://doi.org/10.31721/2306-5451-2022-1-54-173-178