Araştırma Makalesi

Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones

Cilt: 9 Sayı: 3 15 Mayıs 2026
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Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones

Öz

In this study, a Proportional–Integral–Derivative (PID) controller was designed to address stability issues in agricultural unmanned aerial vehicles (UAVs) carrying liquid payloads. The primary goal was to mitigate the adverse effects of center-of-mass and inertia changes caused by liquid sloshing dynamics during flight. The inertia matrix was dynamically updated during flight to reflect center-of-gravity shifts and liquid sloshing effects. A MATLAB/Simulink model of a quadrotor UAV with three-axis (x, y, z) attitude control was developed. The same set of PID coefficients was applied to four distinct flight trajectories to assess performance. Evaluation was conducted using common error metrics, including the Integral of Time-weighted Absolute Error (ITAE), Integral of Absolute Error (IAE), Integral of Squared Error (ISE), and Integral of Time-weighted Squared Error (ITSE). The results demonstrated significant performance variations of the uniformly tuned PID controller across different trajectories, supported by quantitative performance metrics. These findings emphasize the importance of achieving a robust and trajectory-independent control structure for agricultural UAVs.

Anahtar Kelimeler

Etik Beyan

Ethics committee approval was not required for this study because there was no study on animals or humans.

Teşekkür

The authors would like to express their sincere gratitude to the TÜBİTAK 2209-A program and the KTO Karatay University Scientific Research Projects (BAP) unit for their valuable support.

Kaynakça

  1. Abdulkareem, A., Oguntosin, V., Popoola, O. M., & Idowu, A. A. (2022). Modeling and nonlinear control of a quadcopter for stabilization and trajectory tracking. Journal of Engineering, 2022, Article 2449901.
  2. Alderete, T. S. (1997). Simulator aero model implementation. NASA Ames Research Center.
  3. Amertet, S., Gebresenbet, G., & Alwan, H. M. (2024). Modeling of unmanned aerial vehicles for smart agriculture systems using hybrid fuzzy PID controllers. Applied Sciences, 14(8), 3458.
  4. Bolandi, H., Rezaei, M., Mohsenipour, R., & Nemati, H. (2013). Attitude control of a quadrotor with optimized PID controller. Intelligent Control and Automation, 4(3), 335–342.
  5. Bouadi, H., & Tadjine, M. (2007). Nonlinear observer design and sliding mode control of four rotors helicopter. Proceedings of World Academy of Science, Engineering and Technology, 25, 225–230.
  6. Castillo, P., Lozano, R., & Dzul, A. (2005). Stabilisation of a mini rotorcraft with four rotors. IEEE Control Systems Magazine, 25(6), 45–55.
  7. Cetinsaya, B., Reiners, D., & Cruz-Neira, C. (2024). From PID to swarms: A decade of advancements in drone control and path planning - A systematic review (2013–2023). Swarm and Evolutionary Computation, 89, 101626.
  8. Chaisena, K., Nenchoo, B., & Tantrairatn, S. (2020). Automatic balancing system in quadcopter with change in center of gravity. IOP Conference Series: Materials Science and Engineering, 886, 012006.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Dinamikler, Titreşim ve Titreşim Kontrolü, Otomotiv Mekatronik ve Otonom Sistemler, Uçak Performansı ve Uçuş Kontrol Sistemleri

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

15 Mayıs 2026

Gönderilme Tarihi

2 Eylül 2025

Kabul Tarihi

28 Mart 2026

Yayımlandığı Sayı

Yıl 2026 Cilt: 9 Sayı: 3

Kaynak Göster

APA
Türkmen, C. M., Horasan, S. B., & Gülbahçe, E. (2026). Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones. Black Sea Journal of Engineering and Science, 9(3), 1129-1138. https://doi.org/10.34248/bsengineering.1776519
AMA
1.Türkmen CM, Horasan SB, Gülbahçe E. Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones. BSJ Eng. Sci. 2026;9(3):1129-1138. doi:10.34248/bsengineering.1776519
Chicago
Türkmen, Cengiz Mert, Safa Batuhan Horasan, ve Erdi Gülbahçe. 2026. “Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones”. Black Sea Journal of Engineering and Science 9 (3): 1129-38. https://doi.org/10.34248/bsengineering.1776519.
EndNote
Türkmen CM, Horasan SB, Gülbahçe E (01 Mayıs 2026) Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones. Black Sea Journal of Engineering and Science 9 3 1129–1138.
IEEE
[1]C. M. Türkmen, S. B. Horasan, ve E. Gülbahçe, “Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones”, BSJ Eng. Sci., c. 9, sy 3, ss. 1129–1138, May. 2026, doi: 10.34248/bsengineering.1776519.
ISNAD
Türkmen, Cengiz Mert - Horasan, Safa Batuhan - Gülbahçe, Erdi. “Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones”. Black Sea Journal of Engineering and Science 9/3 (01 Mayıs 2026): 1129-1138. https://doi.org/10.34248/bsengineering.1776519.
JAMA
1.Türkmen CM, Horasan SB, Gülbahçe E. Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones. BSJ Eng. Sci. 2026;9:1129–1138.
MLA
Türkmen, Cengiz Mert, vd. “Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones”. Black Sea Journal of Engineering and Science, c. 9, sy 3, Mayıs 2026, ss. 1129-38, doi:10.34248/bsengineering.1776519.
Vancouver
1.Cengiz Mert Türkmen, Safa Batuhan Horasan, Erdi Gülbahçe. Analysis of Stability and Error Criteria in Different Trajectory Conditions with PID Control in Agricultural Drones. BSJ Eng. Sci. 01 Mayıs 2026;9(3):1129-38. doi:10.34248/bsengineering.1776519

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