Sensor and actuator placement for proportional feedback control in advection-diffusion equations

Daniël Veldman (Corresponding author), Rob Fey, Hans Zwart, M.M.J. van de Wal, J.D.B.J. van den Boom, Henk Nijmeijer

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

In this letter, advection-diffusion equations with constant coefficients on infinite 1-D and 2-D spatial domains are considered. Suitable sensor and/or actuator locations are determined for which high-gain and low-gain proportional feedback can effectively reduce the influence of a disturbance at a point of interest. These locations are characterized by simple analytic expressions which can be used as guidelines for control system design. The obtained analytic expressions are validated by numerical results.
LanguageEnglish
Article number8733126
Pages193-198
Number of pages6
JournalIEEE Control Systems Letters
Volume4
Issue number1
DOIs
StatePublished - 1 Jan 2020

Fingerprint

Advection-diffusion Equation
Advection
Feedback Control
Placement
Feedback control
Actuator
Actuators
Directly proportional
Sensor
Control System Design
Sensors
Disturbance
Systems analysis
Feedback
Control systems
Numerical Results
Coefficient
Influence

Keywords

  • Distributed parameter systems
  • control system architecture
  • PID control

Cite this

@article{bca5ffbd96884bf4998c1f2993a0e128,
title = "Sensor and actuator placement for proportional feedback control in advection-diffusion equations",
abstract = "In this letter, advection-diffusion equations with constant coefficients on infinite 1-D and 2-D spatial domains are considered. Suitable sensor and/or actuator locations are determined for which high-gain and low-gain proportional feedback can effectively reduce the influence of a disturbance at a point of interest. These locations are characterized by simple analytic expressions which can be used as guidelines for control system design. The obtained analytic expressions are validated by numerical results.",
keywords = "Distributed parameter systems, control system architecture, PID control",
author = "Dani{\"e}l Veldman and Rob Fey and Hans Zwart and {van de Wal}, M.M.J. and {van den Boom}, J.D.B.J. and Henk Nijmeijer",
year = "2020",
month = "1",
day = "1",
doi = "10.1109/LCSYS.2019.2921623",
language = "English",
volume = "4",
pages = "193--198",
journal = "IEEE Control Systems Letters",
issn = "2475-1456",
publisher = "Institute of Electrical and Electronics Engineers",
number = "1",

}

Sensor and actuator placement for proportional feedback control in advection-diffusion equations. / Veldman, Daniël (Corresponding author); Fey, Rob; Zwart, Hans; van de Wal, M.M.J.; van den Boom, J.D.B.J.; Nijmeijer, Henk.

In: IEEE Control Systems Letters, Vol. 4, No. 1, 8733126, 01.01.2020, p. 193-198.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Sensor and actuator placement for proportional feedback control in advection-diffusion equations

AU - Veldman,Daniël

AU - Fey,Rob

AU - Zwart,Hans

AU - van de Wal,M.M.J.

AU - van den Boom,J.D.B.J.

AU - Nijmeijer,Henk

PY - 2020/1/1

Y1 - 2020/1/1

N2 - In this letter, advection-diffusion equations with constant coefficients on infinite 1-D and 2-D spatial domains are considered. Suitable sensor and/or actuator locations are determined for which high-gain and low-gain proportional feedback can effectively reduce the influence of a disturbance at a point of interest. These locations are characterized by simple analytic expressions which can be used as guidelines for control system design. The obtained analytic expressions are validated by numerical results.

AB - In this letter, advection-diffusion equations with constant coefficients on infinite 1-D and 2-D spatial domains are considered. Suitable sensor and/or actuator locations are determined for which high-gain and low-gain proportional feedback can effectively reduce the influence of a disturbance at a point of interest. These locations are characterized by simple analytic expressions which can be used as guidelines for control system design. The obtained analytic expressions are validated by numerical results.

KW - Distributed parameter systems

KW - control system architecture

KW - PID control

UR - http://www.scopus.com/inward/record.url?scp=85068207420&partnerID=8YFLogxK

U2 - 10.1109/LCSYS.2019.2921623

DO - 10.1109/LCSYS.2019.2921623

M3 - Article

VL - 4

SP - 193

EP - 198

JO - IEEE Control Systems Letters

T2 - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

SN - 2475-1456

IS - 1

M1 - 8733126

ER -