Synthesising All Filtered Proportional-Integral (PI) and PID Controllers Satisfying Gain, Phase and Sensitivity Specifications

Oded Yaniv; Stanimir Mollov

doi:10.1109/TIE.2022.3174308

Synthesising All Filtered Proportional-Integral (PI) and PID Controllers Satisfying Gain, Phase and Sensitivity Specifications

Oded Yaniv, Stanimir Mollov

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

Abstract

This article presents a method for calculating all PI/PD controllers with a low-pass filter of a given order, that 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 PID or cascaded controllers with a low-pass filter assuming a minimum value of one of the controller components is given.

Original language	English
Pages (from-to)	1
Number of pages	1
Journal	IEEE Transactions on Industrial Electronics
DOIs	https://doi.org/10.1109/TIE.2022.3174308
State	Accepted/In press - 2022
Externally published	Yes

Keywords

Automatic Loop Shaping
Feedback Control Design
Filter Design
Gain Margin
Gain measurement
Mathematical models
PD
PD control
Phase Margin
Phase measurement
PI
PID
Sensitivity
Sensitivity
Transfer functions
Uncertainty

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10.1109/TIE.2022.3174308

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title = "Synthesising All Filtered Proportional-Integral (PI) and PID Controllers Satisfying Gain, Phase and Sensitivity Specifications",

abstract = "This article presents a method for calculating all PI/PD controllers with a low-pass filter of a given order, that 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 PID or cascaded controllers with a low-pass filter assuming a minimum value of one of the controller components is given.",

keywords = "Automatic Loop Shaping, Feedback Control Design, Filter Design, Gain Margin, Gain measurement, Mathematical models, PD, PD control, Phase Margin, Phase measurement, PI, PID, Sensitivity, Sensitivity, Transfer functions, Uncertainty",

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note = "Publisher Copyright: IEEE",

year = "2022",

doi = "10.1109/TIE.2022.3174308",

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AU - Mollov, Stanimir

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PY - 2022

Y1 - 2022

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AB - This article presents a method for calculating all PI/PD controllers with a low-pass filter of a given order, that 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 PID or cascaded controllers with a low-pass filter assuming 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 - Gain measurement

KW - Mathematical models

KW - PD

KW - PD control

KW - Phase Margin

KW - Phase measurement

KW - PI

KW - PID

KW - Sensitivity

KW - Transfer functions

KW - Uncertainty

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JO - IEEE Transactions on Industrial Electronics

JF - IEEE Transactions on Industrial Electronics

SN - 0278-0046

ER -

Synthesising All Filtered Proportional-Integral (PI) and PID Controllers Satisfying Gain, Phase and Sensitivity Specifications

Abstract

Keywords

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