Sensor and Actuator Placement for Proportional Feedback Control in Advection-Diffusion Equations

D.W.M. Veldman; R.H.B. Fey; H.J. Zwart; M.M.J. van de Wal; J.D.B.J. van den Boom; H. Nijmeijer

doi:10.1109/LCSYS.2019.2921623

Sensor and Actuator Placement for Proportional Feedback Control in Advection-Diffusion Equations

D.W.M. Veldman^*, R.H.B. Fey, H.J. Zwart, M.M.J. van de Wal, J.D.B.J. van den Boom, H. Nijmeijer

^*Corresponding author for this work

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

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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.

Original language	English
Article number	8733126
Pages (from-to)	193-198
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	4
Issue number	1
Early online date	7 Jun 2019
DOIs	https://doi.org/10.1109/LCSYS.2019.2921623
Publication status	Published - Jan 2020

Keywords

Control system architecture
Distributed parameter systems
PID control
2023 OA procedure

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10.1109/LCSYS.2019.2921623

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keywords = "Control system architecture, Distributed parameter systems, PID control, 2023 OA procedure",

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AU - Veldman, D.W.M.

AU - Fey, R.H.B.

AU - Zwart, H.J.

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

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

AU - Nijmeijer, H.

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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 - Control system architecture

KW - Distributed parameter systems

KW - PID control

KW - 2023 OA procedure

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ER -

Sensor and Actuator Placement for Proportional Feedback Control in Advection-Diffusion Equations

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Keywords

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