Synthesizing All Filtered Proportional-Integral and PID Controllers Satisfying Gain, Phase, and Sensitivity Specifications

Oded Yaniv; Stanimir Mollov

doi:10.1109/TIE.2022.3174308

Synthesizing All Filtered Proportional-Integral and PID Controllers Satisfying Gain, Phase, and Sensitivity Specifications

Oded Yaniv^*, Stanimir Mollov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This article presents a method for calculating all the proportional-integral/proportional-derivative controllers with a low-pass filter of a given order, which satisfy gain-phase margins and sensitivity (or complementary sensitivity) specifications. The method is explicit and requires solving a set of a polynomial and two linear equations. It is shown how to extend the method to design all the proportional-integral-derivative or cascaded controllers with a low-pass filter assuming that a minimum value of one of the controller components is given.

Original language	English
Pages (from-to)	2939-2947
Number of pages	9
Journal	IEEE Transactions on Industrial Electronics
Volume	70
Issue number	3
DOIs	https://doi.org/10.1109/TIE.2022.3174308
State	Published - 1 Mar 2023
Externally published	Yes

Keywords

Automatic loop shaping
feedback control design
filter design
gain margin
phase margin
proportional-derivative (PD)
proportional-integral (PI)
proportional-integral-derivative (PID)
sensitivity

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10.1109/TIE.2022.3174308

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title = "Synthesizing All Filtered Proportional-Integral and PID Controllers Satisfying Gain, Phase, and Sensitivity Specifications",

abstract = "This article presents a method for calculating all the proportional-integral/proportional-derivative controllers with a low-pass filter of a given order, which satisfy gain-phase margins and sensitivity (or complementary sensitivity) specifications. The method is explicit and requires solving a set of a polynomial and two linear equations. It is shown how to extend the method to design all the proportional-integral-derivative or cascaded controllers with a low-pass filter assuming that a minimum value of one of the controller components is given.",

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AB - This article presents a method for calculating all the proportional-integral/proportional-derivative controllers with a low-pass filter of a given order, which satisfy gain-phase margins and sensitivity (or complementary sensitivity) specifications. The method is explicit and requires solving a set of a polynomial and two linear equations. It is shown how to extend the method to design all the proportional-integral-derivative or cascaded controllers with a low-pass filter assuming that a minimum value of one of the controller components is given.

KW - Automatic loop shaping

KW - feedback control design

KW - filter design

KW - gain margin

KW - phase margin

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KW - proportional-integral (PI)

KW - proportional-integral-derivative (PID)

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Synthesizing All Filtered Proportional-Integral and PID Controllers Satisfying Gain, Phase, and Sensitivity Specifications

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Keywords

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