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

Daniël Veldman; Rob Fey; Hans Zwart; M.M.J. van de Wal; J.D.B.J. van den Boom; Henk Nijmeijer

doi:10.1109/LCSYS.2019.2921623

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

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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
DOIs	https://doi.org/10.1109/LCSYS.2019.2921623
Publication status	Published - 1 Jan 2020

Keywords

Distributed parameter systems
control system architecture
PID control

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10.1109/LCSYS.2019.2921623

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

AU - Nijmeijer, Henk

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

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