Gimbal Axes Control with PID Controllers

Yıl 2023, Cilt: 11 Sayı: 1, 143 - 152, 25.03.2023

Murat Şahin

https://doi.org/10.29109/gujsc.1243119

Öz

Gimbal is a system in missiles that allows the seeker to lock onto the target and follow it and increases the angle of view with its mobility in two axes. In this study, the control of the axes of a two-axis gimbal system used in the missile was carried out. PID controller tuned with Particle Swarm Optimization (PSO) is used in the control algorithm. In the optimization, a smoother controller is aimed by using the multi-objective objective function, which also includes the controller output with the position error. At the same time, the bandwidth of the system is also included as a constraint. The Butterworth Polynomial Method (BPM), which can adjust the coefficient according to the bandwidth criterion, was used for comparison purposes. As a result of the experimental studies show that the PID tuned with PSO can control the system with a lower positional error by responding faster to external factors than the PID designed with BPM.

Anahtar Kelimeler

Butterworth polynomial method, gimbal, particle swarm optimization, PID

Kaynakça

• [1] Senthil Kumar, S., & Anitha, G. (2021). A novel self-tuning fuzzy logic-based PID controllers for two-axis gimbal stabilization in a missile seeker. International Journal of Aerospace Engineering, 2021, 1-12.
• [2] Altan, A., & Hacıoğlu, R. (2020). Model predictive control of three-axis gimbal system mounted on UAV for real-time target tracking under external disturbances. Mechanical Systems and Signal Processing, 138, 106548.
• [3] Naderolasli, A., & Tabatabaei, M. (2020). Two-axis gimbal system stabilization using adaptive feedback linearization. Recent Advances in Electrical & Electronic Engineering (Formerly Recent Patents on Electrical & Electronic Engineering), 13(3), 355-368.
• [4] Battistel, A., Oliveira, T. R., & Rodrigues, V. H. P. (2019). Adaptive control of an unbalanced two-axis gimbal for application to inertially stabilized platforms. IEEE 19th International Conference on Advanced Robotics (ICAR), 99-104.
• [5] Khayatian, M., & Arefi, M. M. (2016). Adaptive dynamic surface control of a two‐axis gimbal system. IET Science, Measurement & Technology, 10(6), 607-613.
• [6] Lee, D. H., Tran, D. Q., Kim, Y. B., & Chakir, S. (2020). A robust double active control system design for disturbance suppression of a two-axis gimbal system. Electronics, 9(10), 1638.
• [7] Tong, W., Xiang, B., & Wong, W. (2020). Gimbal torque and coupling torque of six degrees of freedom magnetically suspended yaw gimbal. International Journal of Mechanical Sciences, 168, 105312.
• [8] Baskin, M., & Leblebicioğlu, M. K. (2017). Robust control for line-of-sight stabilization of a two-axis gimbal system. Turkish Journal of Electrical Engineering and Computer Sciences, 25(5): 3839-3853.
• [9] Li, H., & Yu, J. (2019). Anti-disturbance control based on cascade ESO and sliding mode control for gimbal system of double gimbal CMG. IEEE Access, 8, 5644-5654.
• [10] Ghadiri, H., Mohammadi, A., & Khodadadi, H. (2022). Fast terminal sliding mode control based on SDRE observer for two-axis gimbal with external disturbances. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 44(2), 1-23.
• [11] Ashok Kumar, M., & Kanthalakshmi, S. (2022). H∞ Control law for line of sight stabilization in two-axis gimbal system. Journal of Vibration and Control, 28(1-2), 182-191.
• [12] Nguyen, D. H., & Nguyen, V. H. (2019). Robust Control of Two-Axis Gimbal System. IEEE International Symposium on Electrical and Electronics Engineering (ISEE), 177-182.
• [13] Senthil Kumar, S., & Anitha, G. (2021). Fuzzy Logic-Based Self-Tuning PID Controllers Using Parameters Adaptive Method for Stabilization of a Two-Axis Seeker Gimbal. IETE Journal of Research, 1-10.
• [14] Obiora, V., & Achumba, I. E. (2017). Adaptive control of Aerial vehicle gimbal using fuzzy-PID compensator. IEEE 3rd International Conference on Electro-Technology for National Development (NIGERCON), 451-456.
• [15] Rajesh, R. J., & Kavitha, P. (2015). Camera gimbal stabilization using conventional PID controller and evolutionary algorithms. IEEE International Conference on Computer, Communication and Control (IC4), 1-6.
• [16] Ahmad, M. H., Osman, K., Zakeri, M. F. M., & Samsudin, S. I. (2021). Mathematical Modelling and PID Controller Design for Two DOF Gimbal System. IEEE 17th International Colloquium on Signal Processing & Its Applications (CSPA), 138-143.
• [17] Kayışlı, K., & Uğur, M. (2017). 3 Serbestlik Dereceli Bir Robot Kolun Bulanık Mantık ve PID ile Kontrolü. Gazi Üniversitesi Fen Bilimleri Dergisi Part C: Tasarım ve Teknoloji, 5(4): 223-234.
• [18] Sun, Y., Zhou, X., & Huang, Z. (2021). Optimal PID Controller Design for AVR System Based on Multi-objective Optimization and Multi-attribute Decision Making. IEEE 33rd Chinese Control and Decision Conference (CCDC), 592-597.
• [19] Petrović, M., Villalonga, A., Miljković, Z., Castaño, F., Strzelczak, S., & Haber, R. (2019). Optimal tuning of cascade controllers for feed drive systems using particle swarm optimization. IEEE 17th International Conference on Industrial Informatics (INDIN), 1, 325-330.
• [20] Oliveira, P. M., & Vrančić, D. (2018). Swarm Design of Series PID Cascade Controllers. IEEE 13th APCA International Conference on Automatic Control and Soft Computing (CONTROLO), 276-281.
• [21] Upadhyaya, A., & Gaur, P. (2021). Speed Control of Hybrid Electric Vehicle using cascade control of Fractional order PI and PD controllers tuned by PSO. IEEE 18th India Council International Conference (INDICON), 1-6.
• [22] Hasturk, O., Erkmen, A. M., & Erkmen, I. (2011). Proxy-based sliding mode stabilization of a two-axis gimbaled platform. Target, 3(4): 1-7.
• [23] Sahin, M. (2015). Two Axis Gimbal Application with Self Tuning PID Control. PhD Thesis, Gazi University, Graduate School of Natural and Applied Sciences, 2015.
• [24] Borase, R. P., Maghade, D. K., Sondkar, S. Y., & Pawar, S. N. (2021). A review of PID control, tuning methods and applications. International Journal of Dynamics and Control, 9(2), 818-827.
• [25] Ablay, G. (2021). A generalized PID controller for high-order dynamical systems. Journal of Electrical Engineering, 72(2), 119-124.
• [26] Shami, T. M., El-Saleh, A. A., Alswaitti, M., Al-Tashi, Q., Summakieh, M. A., & Mirjalili, S. (2022). Particle swarm optimization: A comprehensive survey. IEEE Access, 10, 10031-10061
• [27] Cui, Y., Meng, X., & Qiao, J. (2022). A multi-objective particle swarm