Initial-value compensation of a proportional-integral-derivative controller for non-overshooting motion

Yu Sheng Lu, Yueh Tsang Li, Sheng Hao Liu

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This article presents a proportional-integral-derivative controller design for monotonic, non-overshooting output responses of a class of second-order plants that do not need to be initially at rest. The proposed scheme is applicable to twice-differentiable reference commands, and monotonic, non-overshooting responses are achieved by compensating for the initial value of integral state. That is, the integral state is initially set to a certain value so that the subsequent response has no overshoot. In the proposed scheme, the initial value that should be assigned to the integral feedback is found to be a nonlinear function of the plant's initial state. This result differs from those in previous schemes that constrain the controller's initial state to be a linear function of the plant's initial state. The proposed scheme is practically applied to layer-jump control and single-track jump control of an optical disk drive. Experimental results confirm the effectiveness of the proposed scheme and its applicability to mode-switching control systems.

Original languageEnglish
Pages (from-to)626-637
Number of pages12
JournalProceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Volume231
Issue number8
DOIs
Publication statusPublished - 2017 Sep 1

Fingerprint

Derivatives
Controllers
Feedback
Control systems
Compensation and Redress

Keywords

  • Control systems
  • disk drives
  • initial-value compensation
  • non-overshooting motion
  • proportional-integral-derivative control
  • zero overshoot

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering

Cite this

@article{897c4da5bb804af5966d439769bcd012,
title = "Initial-value compensation of a proportional-integral-derivative controller for non-overshooting motion",
abstract = "This article presents a proportional-integral-derivative controller design for monotonic, non-overshooting output responses of a class of second-order plants that do not need to be initially at rest. The proposed scheme is applicable to twice-differentiable reference commands, and monotonic, non-overshooting responses are achieved by compensating for the initial value of integral state. That is, the integral state is initially set to a certain value so that the subsequent response has no overshoot. In the proposed scheme, the initial value that should be assigned to the integral feedback is found to be a nonlinear function of the plant's initial state. This result differs from those in previous schemes that constrain the controller's initial state to be a linear function of the plant's initial state. The proposed scheme is practically applied to layer-jump control and single-track jump control of an optical disk drive. Experimental results confirm the effectiveness of the proposed scheme and its applicability to mode-switching control systems.",
keywords = "Control systems, disk drives, initial-value compensation, non-overshooting motion, proportional-integral-derivative control, zero overshoot",
author = "Lu, {Yu Sheng} and Li, {Yueh Tsang} and Liu, {Sheng Hao}",
year = "2017",
month = "9",
day = "1",
doi = "10.1177/0959651817717854",
language = "English",
volume = "231",
pages = "626--637",
journal = "Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering",
issn = "0959-6518",
publisher = "SAGE Publications Ltd",
number = "8",

}

TY - JOUR

T1 - Initial-value compensation of a proportional-integral-derivative controller for non-overshooting motion

AU - Lu, Yu Sheng

AU - Li, Yueh Tsang

AU - Liu, Sheng Hao

PY - 2017/9/1

Y1 - 2017/9/1

N2 - This article presents a proportional-integral-derivative controller design for monotonic, non-overshooting output responses of a class of second-order plants that do not need to be initially at rest. The proposed scheme is applicable to twice-differentiable reference commands, and monotonic, non-overshooting responses are achieved by compensating for the initial value of integral state. That is, the integral state is initially set to a certain value so that the subsequent response has no overshoot. In the proposed scheme, the initial value that should be assigned to the integral feedback is found to be a nonlinear function of the plant's initial state. This result differs from those in previous schemes that constrain the controller's initial state to be a linear function of the plant's initial state. The proposed scheme is practically applied to layer-jump control and single-track jump control of an optical disk drive. Experimental results confirm the effectiveness of the proposed scheme and its applicability to mode-switching control systems.

AB - This article presents a proportional-integral-derivative controller design for monotonic, non-overshooting output responses of a class of second-order plants that do not need to be initially at rest. The proposed scheme is applicable to twice-differentiable reference commands, and monotonic, non-overshooting responses are achieved by compensating for the initial value of integral state. That is, the integral state is initially set to a certain value so that the subsequent response has no overshoot. In the proposed scheme, the initial value that should be assigned to the integral feedback is found to be a nonlinear function of the plant's initial state. This result differs from those in previous schemes that constrain the controller's initial state to be a linear function of the plant's initial state. The proposed scheme is practically applied to layer-jump control and single-track jump control of an optical disk drive. Experimental results confirm the effectiveness of the proposed scheme and its applicability to mode-switching control systems.

KW - Control systems

KW - disk drives

KW - initial-value compensation

KW - non-overshooting motion

KW - proportional-integral-derivative control

KW - zero overshoot

UR - http://www.scopus.com/inward/record.url?scp=85027198231&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85027198231&partnerID=8YFLogxK

U2 - 10.1177/0959651817717854

DO - 10.1177/0959651817717854

M3 - Article

AN - SCOPUS:85027198231

VL - 231

SP - 626

EP - 637

JO - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

JF - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

SN - 0959-6518

IS - 8

ER -