title: Ð¡Ð¸Ð½ÑÐµÐ· ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-Ð¸Ð·Ð±Ð¸ÑÐ°ÑÐµÐ»ÑÐ½ÑÑ ÑÑÑÑÐ¾Ð¹ÑÑÐ² Ñ Ð´ÑÐ¾Ð±Ð½Ð¾Ð¹ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÑÐ½ÐºÑÐ¸ÐµÐ¹
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Synthesis of frequency selection devices with fractional transfer function
Creators: name: ÐÐ°Ð²ÑÑÐº, ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð° Ð´ÑÐ¾Ð±Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÑÐ´ÐºÐ°
Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ñ
Ð¿ÑÐµÐ²Ð´Ð¾ÑÐ»ÐµÐ¼ÐµÐ½Ñ
ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ
ÐÐÐ-ÑÐµÐ³ÑÐ»ÑÑÐ¾Ñ
fractional-order devices
approximation
pseudoelement
realization
PID-controller

description: ÐÐ±ÑÐµÐºÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ âÂ  ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-Ð¸Ð·Ð±Ð¸ÑÐ°ÑÐµÐ»ÑÐ½ÑÐµ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð°.Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ âÂ  ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐ¸Ð½ÑÐµÐ·Ð° ÑÐ°ÑÑÐ¾ÑÐ½Ð¾-Ð¸Ð·Ð±Ð¸ÑÐ°ÑÐµÐ»ÑÐ½ÑÑ ÑÑÑÑÐ¾Ð¹ÑÑÐ² Ñ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÑÐ½ÐºÑÐ¸ÐµÐ¹ Ð´ÑÐ¾Ð±Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÑÐ´ÐºÐ°.Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð±ÑÐ»Ð° Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð° Ð½Ð¾Ð²Ð°Ñ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð°Ð¿Â­Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ð¸ ÑÑÐ½ÐºÑÐ¸Ð¸ Ð´ÑÐ¾Ð±Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÑÐ´ÐºÐ°. Ð¢Ð°ÐºÐ¶Ðµ Ð±ÑÐ»Ð° Ð½Ð°Ð¹Ð´ÐµÐ½Ð° ÑÐ¾Ð¾ÑÐ²ÐµÑÂ­ÑÑÐ²ÑÑÂ­ÑÐ°Ñ Ð·Ð°ÐºÐ¾Ð½Ð¾Ð¼ÐµÑÐ½Ð¾ÑÑÑ, ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð·Ð½Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ ÑÐ¿ÑÐ¾ÑÐ°ÐµÑ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ðµ ÐºÐ¾ÑÑÑÐ¸Â­ÑÐ¸ÐµÐ½Â­ÑÐ¾Ð² Ð¿Ð¾Ð»Ð¸Ð½Ð¾Ð¼Ð°, ÑÐ²Ð¾Ð´Ñ Ð·Ð°Ð´Ð°ÑÑ Ðº Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð² Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Â­ÑÑÐµÐ¹ÑÐ¸Ñ Ð°Ð»Ð³ÐµÐ±ÑÐ°Ð¸ÑÐµÑÐºÐ¸Ñ Ð¾Ð¿ÐµÑÐ°ÑÐ¸Ð¹.ÐÐ¾Ð¼Ð¸Ð¼Ð¾ Ð·Ð°Ð´Ð°ÑÐ¸ Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ð¸, Ð±ÑÐ»Ð° ÑÐµÑÐµÐ½Ð° Ð·Ð°Ð´Ð°ÑÐ° ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð½Ð° Ð±Ð°Ð·Ðµ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð¿ÑÐ±Ð»Ð¸ÐºÐ°ÑÐ¸Ð¹ Ð² Ð²Ð¸Ð´Ðµ RLC- Ð¸ ARC-ÑÑÐµÐ¼, Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¸Ñ ÑÐ°ÑÑÐ¾ÑÐ½ÑÐµ Ð¸ Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÐµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð°, Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð° ÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÑ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¹ Ðº ÑÐ°Ð·Ð±ÑÐ¾ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð². ÐÑÐ» ÑÐ°ÐºÐ¶Ðµ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð²Ð°Â­ÑÐ¸Ð°Ð½Ñ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ¸Ð»ÑÑÑÐ¾Ð² Ð´ÑÐ¾Ð±Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÑÐ´ÐºÐ° Ð½Ð° Ð±Ð°Ð·Ðµ Ð´ÑÑÐ³Ð¸Ñ ÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸Ð¹, ÐºÐ¾Â­ÑÐ¾ÑÑÐµ ÑÐ²Ð»ÑÑÑÑÑ Ð±Ð¾Ð»ÐµÐµ ÑÐºÐ¾Ð½Ð¾Â­Ð¼Ð¸ÑÐ½ÑÐ¼Ð¸ Ñ ÑÐ¾ÑÐºÐ¸ Ð·ÑÐµÐ½Ð¸Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼ÑÑ Ð¿Ð°ÑÑÐ¸Ð²Ð½ÑÑ Ð¸ Ð°ÐºÑÐ¸Ð²Ð½ÑÑ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ¾Ð².Â 
description: The subject of the graduate qualification work is âFrequency-selective deÂ­vicesâ.The given work is devoted to design frequency-selective devices with fracÂ­tional-order transfer function. New methodology for solving approximation problem was suggested. Also, we found regularity that simplify computation of polynomial coefficients, problem boils down to simple algebraic operations.In addition, we solved realization problem in the form of RLC- and ARC-schemes, their characteristics were analyzed in frequency and time domain, also reÂ­alizationâs sensitivity was investigated. Besides we suggested new realization way on the base of other topology, that is more optimal in terms of necessary numbers of passive and active elements.