Satellite Heat Transfer Control Using a Nonlinear PI Method

Authors

https://doi.org/10.48313/mtei.v1i3.57

Abstract

Thermal control in satellites is a critical discipline that maintains allowable temperature conditions across all subsystems. Satellite thermal regulation can be achieved through various approaches, which are broadly classified into passive and active methods. In passive control, thermal conditions are managed using passive elements such as coatings, insulation, radiators, and similar components. In contrast, active control typically employs closed-loop systems with temperature feedback. In this paper, the design of an active thermal control system for an Earth-orbiting satellite is carried out using a Nonlinear Proportional–Integral (NPI) control strategy. In this approach, the temperature of each subsystem is considered as a state variable, while heaters are modeled as actuators. Through comparative analyses, it is demonstrated that, due to actuator saturation effects, the nonlinear PI controller exhibits superior performance compared to the classical Proportional–Integral (PI) method, particularly in reducing overshoot and settling time. 

Keywords:

Thermal control, Nonlinear proportional–integral control, Earth-orbiting satellite

References

  1. [1] Meseguer, J., Pérez-Grande, I., & Sanz-Andrés, A. (2012). Spacecraft thermal control. Woodhead Publishing. https://www.amazon.com/Spacecraft-Woodhead-Publishing-Mechanical-Engineering-ebook/dp/B00HFYG0XK/ref=sr_1_1?adgrpid=1331509151909473
  2. [2] Mahan, J. R. (2002). Radiation heat transfer: A statistical approach. John Wiley & Sons. https://www.amazon.com/s?k=9780471212706&i=stripbooks&linkCode=qs
  3. [3] Wilk-Jakubowski, J., Pawlik, Ł., Ciopiński, L., & Wilk-Jakubowski, G. (2025). Advances in neural network-based image, thermal, infrared, and X-Ray technologies. Applied sciences, 15(13), 7198. https://doi.org/10.3390/app15137198
  4. [4] Zhao, C., Wang, D., & Xue, W. (2025). Beyond linear limits: Design of robust nonlinear PID control. Automatica, 173, 112075. https://doi.org/10.1016/j.automatica.2024.112075
  5. [5] Gaite, J. (2011). Nonlinear analysis of spacecraft thermal models. Nonlinear dynamics, 65(3), 283–300. https://doi.org/10.1007/s11071-010-9890-4
  6. [6] Feng, J., Zhang, X., Liu, L., & Wu, W. (2024). Research and verification of precise temperature control method for spacecraft driven by time-frequency analysis. 2024 international conference on sensing, measurement & data analytics in the era of artificial intelligence (ICSMD) (pp. 1–6). IEEE. https://doi.org/10.1109/ICSMD64214.2024.10920296
  7. [7] Zhong, Y., Li, D., & Sun, L. (2025). Adaptive bandwidth tuning via deep reinforcement learning for nonlinear temperature control of insulated wall. Applied thermal engineering, 281, 128532. https://doi.org/10.1016/j.applthermaleng.2025.128532
  8. [8] Al-Hemeary, N., Polcz, P., & Szederkényi, G. (2020). Optimal solar panel area computation and temperature tracking for a cubesat system using model predictive control. Proceedings of the spiiran (pp. 564–593). SPIIRAS. https://doi.org/10.15622/sp.2020.19.3.4
  9. [9] Lee, J., & Edgar, T. F. (2015). Nonlinear PI controllers with output transformations. AIChE journal, 61(12), 4264–4269. https://doi.org/10.1002/aic.14907
  10. [10] Aranovskiy, S., Ortega, R., & Cisneros, R. (2016). A robust PI passivity-based control of nonlinear systems and its application to temperature regulation. International journal of robust and nonlinear control, 26(10), 2216–2231. https://doi.org/10.1002/rnc.3404
  11. [11] Hristea, E., Siguerdidjane, H., Arzandé, A., & Vannier, J. C. (2015). Nonlinear PID and sliding mode control applied to a new generation of Micro-Pump for small satellites. IFAC-papersonline, 48(9), 97–101. https://doi.org/10.1016/j.ifacol.2015.08.066
  12. [12] Raghav, A., Rajendran, S., Shetty, P. B., Kirana, B. R., Damaruganath, P., Shashanka, D., … & Chandrashekar, A. (2013). A simple and intelligent nonlinear pid temperature control with ambient temperature feedback for nonlinear systems. 2013 international conference on circuits, controls and communications (CCUBE) (pp. 1–6). IEEE. 10.1109/CCUBE.2013.6718568
  13. [13] Gellrich, T., Zhang, X., Schwab, S., & Hohmann, S. (2008). Robust stabilisation via output feedback. In Nonlinear and adaptive control with applications (pp. 115–150). London: Springer London. https://doi.org/10.1007/978-1-84800-066-7_6
  14. [14] Psillakis, H. E., & Lagos, A.-R. (2018). Unifying adaptive control with the nonlinear PI methodology: Designs for unknown strict-feedback nonlinear systems with nonsmooth actuator nonlinearities. International journal of adaptive control and signal processing, 32(2), 362–377. https://doi.org/10.1002/acs.2846
  15. [15] Gellrich, T., Schuermann, T., Hobus, F., & Hohmann, S. (2018). Model-based heater control design for loop heat pipes. 2018 IEEE conference on control technology and applications (CCTA) (pp. 527–532). IEEE. 10.1109/CCTA.2018.8511470
  16. [16] Gellrich, T., Zhang, X., Schwab, S., & Hohmann, S. (2019). Nonlinear model identification adaptive heater control design for loop heat pipes. 2019 IEEE conference on control technology and applications (CCTA) (pp. 679–684). IEEE. https://doi.org/10.1109/CCTA.2019.8920525
  17. [17] Zhang, W., Zhao, R., & Cheng, W. L. (2023). Temperature control performance of a spaceborne PTC heating system: Dynamic modeling and parametric analysis. Thermal science and engineering progress, 44, 102062. https://doi.org/10.1016/j.tsep.2023.102062
  18. [18] Wang, T., Luo, W., Zhu, X., Shen, B., Zheng, Y., Wen, J., & Zhu, L. (2024). Simulation of temperature control for spacecraft thermal test based on simulink. 2024 3rd international conference on energy and power engineering, control engineering (EPECE) (pp. 206–210). IEEE. https://doi.org/10.1109/EPECE63428.2024.00045
  19. [19] Zhang, Q., Song, X., & Song, S. (2025). Observer-based spatiotemporal event-triggered fuzzy resilient control for temperature profile of high-speed spacecraft. Asian journal of control, 27(2), 782–796. https://doi.org/10.1002/asjc.3472
  20. [20] Hutter, K., & Wang, Y. (2016). Thermodynamics---fundamentals. In Fluid and thermodynamics: Volume 2: Advanced fluid mechanics and thermodynamic fundamentals (pp. 317–420). Cham: Springer International Publishing. 10.1007/978-3-319-33636-7_17
  21. [21] Bergman, T. L., Lavine, A. S., Incropera, F. P., & DeWitt, D. P. (2011). Introduction to heat transfer. John Wiley & Sons. https://www.amazon.com/s?k=9780470501962&i=stripbooks&linkCode=qs
  22. [22] Ali Akbar Khayyat, A. (2001). Force tracking of hydraulic manipulators within an impedance control framework [Thesis]. https://mspace.lib.umanitoba.ca/server/api/core/bitstreams/5e84aaa5-186c-4295-815b-6a6620fe3a64/content

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Published

2024-09-10

Issue

Vol. 1 No. 3 (2024): Mechanical Technology and Engineering Insights (MTEI)

Section

Articles

How to Cite

Poorahangaryan, F. . (2024). Satellite Heat Transfer Control Using a Nonlinear PI Method. Mechanical Technology and Engineering Insights, 1(3), 143-151. https://doi.org/10.48313/mtei.v1i3.57

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