Optimal Robust PID control for first- and second-order plus dead-time processes

Takao Sato; Itaru Hayashi; Yohei Horibe; Ramon Vilanova; Yasuo Konishi

doi:10.3390/app9091934

Optimal Robust PID control for first- and second-order plus dead-time processes

Takao Sato, Itaru Hayashi, Yohei Horibe, Ramon Vilanova, Yasuo Konishi

Department of Telecommunications and Systems Engineering

Research output: Contribution to journal › Article › Research

16 Citations (Scopus)

Abstract

© 2019 by the authors. The present study proposes a new design method for a proportional-integral-derivative (PID) control system for first-order plus dead-time (FOPDT) and over-damped second-order plus dead-time (SOPDT) systems. What is presented is an optimal PID tuning constrained to robust stability. The optimal tuning is defined for each one of the two operation modes the control system may operate in: servo (reference tracking) and regulation (disturbance rejection). The optimization problem is stated for a normalized second-order plant that unifies FOPDT and SOPDT process models. Different robustness levels are considered and for each one of them, the set of optimal controller parameters is obtained. In a second step, suitable formulas are found that provide continuous values for the controller parameters. Finally, the effectiveness of the proposed method is confirmed through numerical examples.

Original language	English
Article number	1934
Journal	Applied Sciences (Switzerland)
Volume	9
DOIs	https://doi.org/10.3390/app9091934
Publication status	Published - 1 May 2019

Keywords

FOPDT system
Over-damping
PID control
Robust stability
SOPDT system
Sensitivity function

Access to Document

10.3390/app9091934

https://ddd.uab.cat/record/213185

Cite this

@article{0bc53c7d9aa04f1bae48bc4091e341e6,

title = "Optimal Robust PID control for first- and second-order plus dead-time processes",

abstract = "{\textcopyright} 2019 by the authors. The present study proposes a new design method for a proportional-integral-derivative (PID) control system for first-order plus dead-time (FOPDT) and over-damped second-order plus dead-time (SOPDT) systems. What is presented is an optimal PID tuning constrained to robust stability. The optimal tuning is defined for each one of the two operation modes the control system may operate in: servo (reference tracking) and regulation (disturbance rejection). The optimization problem is stated for a normalized second-order plant that unifies FOPDT and SOPDT process models. Different robustness levels are considered and for each one of them, the set of optimal controller parameters is obtained. In a second step, suitable formulas are found that provide continuous values for the controller parameters. Finally, the effectiveness of the proposed method is confirmed through numerical examples.",

keywords = "FOPDT system, Over-damping, PID control, Robust stability, SOPDT system, Sensitivity function",

author = "Takao Sato and Itaru Hayashi and Yohei Horibe and Ramon Vilanova and Yasuo Konishi",

year = "2019",

month = may,

day = "1",

doi = "10.3390/app9091934",

language = "English",

volume = "9",

}

TY - JOUR

T1 - Optimal Robust PID control for first- and second-order plus dead-time processes

AU - Sato, Takao

AU - Hayashi, Itaru

AU - Horibe, Yohei

AU - Vilanova, Ramon

AU - Konishi, Yasuo

PY - 2019/5/1

Y1 - 2019/5/1

N2 - © 2019 by the authors. The present study proposes a new design method for a proportional-integral-derivative (PID) control system for first-order plus dead-time (FOPDT) and over-damped second-order plus dead-time (SOPDT) systems. What is presented is an optimal PID tuning constrained to robust stability. The optimal tuning is defined for each one of the two operation modes the control system may operate in: servo (reference tracking) and regulation (disturbance rejection). The optimization problem is stated for a normalized second-order plant that unifies FOPDT and SOPDT process models. Different robustness levels are considered and for each one of them, the set of optimal controller parameters is obtained. In a second step, suitable formulas are found that provide continuous values for the controller parameters. Finally, the effectiveness of the proposed method is confirmed through numerical examples.

AB - © 2019 by the authors. The present study proposes a new design method for a proportional-integral-derivative (PID) control system for first-order plus dead-time (FOPDT) and over-damped second-order plus dead-time (SOPDT) systems. What is presented is an optimal PID tuning constrained to robust stability. The optimal tuning is defined for each one of the two operation modes the control system may operate in: servo (reference tracking) and regulation (disturbance rejection). The optimization problem is stated for a normalized second-order plant that unifies FOPDT and SOPDT process models. Different robustness levels are considered and for each one of them, the set of optimal controller parameters is obtained. In a second step, suitable formulas are found that provide continuous values for the controller parameters. Finally, the effectiveness of the proposed method is confirmed through numerical examples.

KW - FOPDT system

KW - Over-damping

KW - PID control

KW - Robust stability

KW - SOPDT system

KW - Sensitivity function

UR - http://www.mendeley.com/research/optimal-robust-pid-control-first-secondorder-plus-deadtime-processes

U2 - 10.3390/app9091934

DO - 10.3390/app9091934

M3 - Article

SN - 2076-3417

VL - 9

JO - Applied Sciences (Switzerland)

JF - Applied Sciences (Switzerland)

M1 - 1934

ER -

Optimal Robust PID control for first- and second-order plus dead-time processes

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this