Discrete-time PID controller tuning using frequency loop-shaping

Ashfaque B. Shafique; Konstantinos Tsakalis

Discrete-time PID controller tuning using frequency loop-shaping

Ashfaque B. Shafique, Konstantinos Tsakalis

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A loop-shaping approach for tuning Proportional-Integral-Derivative (PID) controllers is presented. A Glover-McFarlane controller is used to determine a target loop-shape that is approximated by a PID structure via the use of an LMI optimization method. If the approximation error from the minimization satisfies a standard small gain condition, then the tuned PID controller also shares the attractive robustness properties of the controllers. The entire design process is carried out in discrete-time assuming a discrete plant is available. Typical test cases are used to show the implementation of this method and the quality of the resulting closed loops.

Original language	English (US)
Title of host publication	IFAC Conference on Advances in PID Control, PID 2012 - Proceedings
Pages	613-618
Number of pages	6
Edition	PART 1
State	Published - 2012
Event	2nd IFAC Conference on Advances in PID Control, PID 2012 - Brescia, Italy Duration: Mar 28 2012 → Mar 30 2012

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	PART 1
Volume	2
ISSN (Print)	1474-6670

Other

Other	2nd IFAC Conference on Advances in PID Control, PID 2012
Country/Territory	Italy
City	Brescia
Period	3/28/12 → 3/30/12

Keywords

Automatic tuning
Ellipsoid method
Glover-McFarlane controller
LMI optimization
Loop-shaping
PID controllers

ASJC Scopus subject areas

Control and Systems Engineering

Cite this

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title = "Discrete-time PID controller tuning using frequency loop-shaping",

abstract = "A loop-shaping approach for tuning Proportional-Integral-Derivative (PID) controllers is presented. A Glover-McFarlane controller is used to determine a target loop-shape that is approximated by a PID structure via the use of an LMI optimization method. If the approximation error from the minimization satisfies a standard small gain condition, then the tuned PID controller also shares the attractive robustness properties of the controllers. The entire design process is carried out in discrete-time assuming a discrete plant is available. Typical test cases are used to show the implementation of this method and the quality of the resulting closed loops.",

keywords = "Automatic tuning, Ellipsoid method, Glover-McFarlane controller, LMI optimization, Loop-shaping, PID controllers",

author = "Shafique, {Ashfaque B.} and Konstantinos Tsakalis",

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AU - Tsakalis, Konstantinos

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Y1 - 2012

N2 - A loop-shaping approach for tuning Proportional-Integral-Derivative (PID) controllers is presented. A Glover-McFarlane controller is used to determine a target loop-shape that is approximated by a PID structure via the use of an LMI optimization method. If the approximation error from the minimization satisfies a standard small gain condition, then the tuned PID controller also shares the attractive robustness properties of the controllers. The entire design process is carried out in discrete-time assuming a discrete plant is available. Typical test cases are used to show the implementation of this method and the quality of the resulting closed loops.

AB - A loop-shaping approach for tuning Proportional-Integral-Derivative (PID) controllers is presented. A Glover-McFarlane controller is used to determine a target loop-shape that is approximated by a PID structure via the use of an LMI optimization method. If the approximation error from the minimization satisfies a standard small gain condition, then the tuned PID controller also shares the attractive robustness properties of the controllers. The entire design process is carried out in discrete-time assuming a discrete plant is available. Typical test cases are used to show the implementation of this method and the quality of the resulting closed loops.

KW - Automatic tuning

KW - Ellipsoid method

KW - Glover-McFarlane controller

KW - LMI optimization

KW - Loop-shaping

KW - PID controllers

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T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

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BT - IFAC Conference on Advances in PID Control, PID 2012 - Proceedings

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Discrete-time PID controller tuning using frequency loop-shaping

Abstract

Publication series

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Keywords

ASJC Scopus subject areas

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