Noise smoothing in the temperature measurement channel of the PID controller

Authors

  • S. Inosov
  • V. Lutsenko
  • V. Illarionov
  • V. Pavlenko National University of Life and Environmental Sciences of Ukraine image/svg+xml

DOI:

https://doi.org/10.31548/energiya3(85).2026.026

Keywords:

PID controller, automatic control, temperature, measurement error, control action, noise level, smoothing

Abstract

The main task of most automatic control systems is to automatically maintain a set temperature by controlling the heating. The deviation-based control principle with a negative feedback loop is commonly used. Control quality is assessed by dynamic criteria, the primary one being the control time that must be minimized by properly selecting the control algorithm and tuning its parameters. The proportional-integral-differential (PID) control algorithm is typically employed because it is close to the theoretically achievable ideal for real thermal objects. The differentiating channel of the PID algorithm amplifies high-frequency noise (including random temperature measurement errors), making this factor significant and disruptive. The possibility of reducing the noise level of the control action (heating power) by smoothing noise in the temperature measurement channel was investigated. An exponential smoothing algorithm (first-order aperiodic block) was selected as the smoothing filter. The study was conducted experimentally using a laboratory system for programmed automatic temperature control of a drying oven with electric heating; the algorithm was implemented in software on a microcontroller. Attempts to reduce the noise of the control action by smoothing the signal in the temperature measurement channel were unsuccessful — the root-mean-square and peak noise values at the controller output were practically unchanged. Therefore, the use of additional signal smoothing in the temperature measurement channel for automatic control systems with the PID algorithm is not recommended. If necessary, noise can be reduced only by increasing the time constant of the primary smoothing in the differentiating channel of the PID controller, at the cost of deteriorated control quality.

Recieved: 23.02.2026. Recieved: 15.05.2026. Accepted: 22.06.2026

References

1. Popovich, M. G., & Kovalchuk, O. V. (2007). Theory of automatic control: Textbook. Kyiv: Lybid. 656 p.

2. Inosov, S. V., & Kornienko, V. M. (2013). Optimization of the algorithm for automatic control of thermal processes. Management of Complex Systems Development, (13), 104–108.

3. Inosov, S. V., & Bondarchuk, O. V. (2018). Relationship between temperature measurement errors and the dynamics of regulation of a thermal object. Management of Complex Systems Development, (35), 162–166.

4. Inosov, S. V., Bondarchuk, O. V., & Illarionov, V. M. (2021). Tuning a PID controller by the transition function of an open loop. Management of Complex Systems Development, (46), 167–172.

5. Inosov, S. V., & Bondarchuk, O. V. (2023). Analysis of possible causes of erroneous identification of dynamic parameters of the thermal control object. Management of Complex Systems Development, (54), 132–137.

6. Lutsenko, V. Yu., Inosov, S. V., & Zhadan, V. O. (2025). Automation of a drying cabinet with a resistive heater. Proceedings of BMC-2025 International Scientific and Practical Conference "Build Master Class 2025", Kyiv, Ukraine.

7. Mishra, N. (2023). Development of drying system by using internet of things. Energy Nexus, 11. https://doi.org/10.1016/j.nexus.2023.100199

8. Trushakov, D. O., & Kozlovsky, O. S. (2021). Automated interference filtering system during drying oven temperature measurement. Electronics and Information Technologies, (15), 80–89.

9. Grigorovsky, P. Ye., Inosov, S. V., Samoilenko, M. I., Wolters, A. O., & Zaprivoda, A. V. (2023). Possibilities of reducing the random error of satellite geolocation by averaging GPS receiver U-Blox Neo-6m-0-001 data. Management of Complex Systems Development, (55), 186–191.

Published

2026-06-30

Issue

Section

Статті

How to Cite

Inosov, S., Lutsenko, V., Illarionov, V., & Pavlenko, V. (2026). Noise smoothing in the temperature measurement channel of the PID controller. Energy and Automation, 3, 26-34. https://doi.org/10.31548/energiya3(85).2026.026