title: Ð¡Ð¸Ð½ÑÐµÐ· ÑÐµÐ³ÑÐ»ÑÑÐ¾ÑÐ¾Ð² Ð´Ð»Ñ ÑÐ¸ÑÑÐµÐ¼Ñ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ñ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÑÐ½Ð½ÑÐ¼Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ð¼Ð¸ ÑÐ°ÑÑÐ¾ÑÐ½ÑÐ¼Ð¸ Ð¼ÐµÑÐ¾Ð´Ð°Ð¼Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Synthesis of controllers for a control system with distributed parameters by frequency methods
Creators: name: ÐÐµÐ½Ð¸ÑÐµÐ½ÐºÐ¾, ÐÐ°ÑÐ°Ð»Ñ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: 2020
Subjects: ÑÐ¸ÑÑÐµÐ¼Ñ Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð´ÑÐ¾Ð±Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÑÐ´ÐºÐ°
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Ð´Ð»Ð¸ÑÐµÐ»ÑÐ½Ð°Ñ Ð¿ÑÐ¾ÑÐ½Ð¾ÑÑÑ
automatic control systems of fractional order
distributed systems
dynamic synthesis of the regulator
irrational regulator
long durability

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¸ÑÑÐµÐ¼ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð´ÑÐ¾Ð±Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÑÐ´ÐºÐ°. Ð Ð¿ÐµÑÐ²Ð¾Ð¹ Ð³Ð»Ð°Ð²Ðµ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑÑÑ ÑÑÐµÐ±Ð¾Ð²Ð°Ð½Ð¸Ñ Ðº Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¸ÑÐ¿ÑÑÐ°Ð½Ð¸Ð¹ Ð¼ÐµÑÐ°Ð»Ð»Ð¾Ð² Ð½Ð° Ð´Ð»Ð¸ÑÐµÐ»ÑÐ½ÑÑ Ð¿ÑÐ¾ÑÐ½Ð¾ÑÑÑ Ð¿Ð¾Ð´ Ð²Ð¾Ð·Ð´ÐµÐ¹ÑÑÐ²Ð¸ÐµÐ¼ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ. ÐÑÐ¸Ð²Ð¾Ð´ÑÑÑÑ ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ Ð¾Ð±Ð¾ÑÑÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼Ð¾Ð³Ð¾ Ð´Ð»Ñ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¸ÑÐ¿ÑÑÐ°Ð½Ð¸Ð¹. ÐÐ¿Ð¸ÑÑÐ²Ð°ÐµÑÑÑ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ñ Ð½Ð°Ð³ÑÐµÐ²Ð°ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸, Ð¿ÑÐ¸Ð½ÑÑÑÐµ Ð´Ð¾Ð¿ÑÑÐµÐ½Ð¸Ñ Ð´Ð»Ñ ÑÐ¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¾Ð±ÑÐµÐºÑÐ° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ. ÐÐ¾ Ð²ÑÐ¾ÑÐ¾Ð¹ Ð³Ð»Ð°Ð²Ðµ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸ÑÑÑ ÑÑÑÑÐºÑÑÑÐ½Ð°Ñ ÑÑÐµÐ¼Ð° Ð¾Ð±ÑÐµÐºÑÐ° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ, Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÑÐ½ÐºÑÐ¸Ð¸ Ð¾Ð±ÑÐµÐºÑÐ° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ. Ð ÑÑÐµÑÑÐµÐ¹ Ð³Ð»Ð°Ð²Ðµ Ð´Ð°Ð½Ð¾ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ðµ ÐºÐ»Ð°ÑÑÐ° Ð´ÑÐ¾Ð±Ð½Ð¾-Ð¸ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½ÑÑ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¾ÑÐ½ÑÑ ÑÑÐ½ÐºÑÐ¸Ð¹, ÑÐ°ÑÑÐ¾ÑÐ½ÑÐµ ÐºÑÐ¸ÑÐµÑÐ¸Ð¸ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸. Ð ÑÐµÑÐ²ÐµÑÑÐ¾Ð¹ Ð³Ð»Ð°Ð²Ðµ Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½Ð° Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ ÑÐ¸Ð½ÑÐµÐ·Ð° ÑÐµÐ³ÑÐ»ÑÑÐ¾ÑÐ¾Ð² ÑÐ°ÑÑÐ¾ÑÐ½ÑÐ¼ ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð¼. ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð² ÑÑÐµÐ´Ðµ MATLAB Ð´Ð»Ñ Ð¾Ð±ÑÐµÐºÑÐ¾Ð² ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ, Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÐµÐ¼ÑÑ Ð´ÑÐ¾Ð±Ð½Ð¾-Ð¸ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð¹ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÑÐ½ÐºÑÐ¸ÐµÐ¹, Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¾ Ð² Ð³Ð»Ð°Ð²Ðµ 5. Ð¨ÐµÑÑÐ°Ñ Ð³Ð»Ð°Ð²Ð° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ¸Ð½ÑÐµÐ·Ñ ÑÐµÐ³ÑÐ»ÑÑÐ¾ÑÐ¾Ð² Ð´Ð»Ñ Ð¸ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¾Ð±ÑÐµÐºÑÐ° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ â Ð¾Ð´Ð½Ð¾Ð³Ð¾ Ð¸ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸ Ð´Ð²ÑÑ ÑÐ°ÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½ÑÑ, Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÐµÐ¹ ÐºÐ°ÑÐµÑÑÐ²Ð° Ð¿ÐµÑÐµÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾ÑÐµÑÑÐ°.
description: This paper is devoted to the study of fractional-order control systems. The first chapter discusses the requirements for testing metals for long-term strength under the influence of temperature. The technical characteristics of the equipment used for testing are given. The design of the heating installation, the accepted assumptions for compiling a mathematical model of the control object are described.
The second chapter provides a structural diagram of the control object, the parameters of the transfer function of the control object. The third chapter gives a mathematical description of the class of fractional-irrational transfer functions, frequency stability criteria. The fourth chapter provides a methodology for the synthesis of regulators in a frequency manner. Modeling in MATLAB for control objects described by a fractional-irrational transfer function is described in Chapter 5. The sixth chapter is devoted to the synthesis of regulators for an irrational control object - one irrational and two rational ones; the quality indicators of the transition process are compared.