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

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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 languageEnglish
Article number8733126
Pages (from-to)193-198
Number of pages6
JournalIEEE Control Systems Letters
Volume4
Issue number1
Early online date7 Jun 2019
DOIs
Publication statusPublished - Jan 2020
Externally publishedYes

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Keywords

  • control system architecture
  • Distributed parameter systems
  • PID control

Cite this

Veldman, D. W. M., Fey, R. H. B., Zwart, H. J., van de Wal, M. M. J., van den Boom, J. D. B. J., & Nijmeijer, H. (2020). Sensor and Actuator Placement for Proportional Feedback Control in Advection-Diffusion Equations. IEEE Control Systems Letters, 4(1), 193-198. [8733126]. https://doi.org/10.1109/LCSYS.2019.2921623