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.
- Distributed parameter systems
- control system architecture
- PID control
Veldman, D., Fey, R., Zwart, H., 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. . https://doi.org/10.1109/LCSYS.2019.2921623