Designing Optimal Fuzzy PID Controller for Position Tracking of a Two-Axis Gimbal System
الموضوعات : journal of Artificial Intelligence in Electrical Engineering
Hamed Mohammadi
1
,
حامد خدادادی
2
,
Hamid Ghadiri
3
1 - Department of Electrical Engineering, Kho.C., Islamic Azad University, Khomeinishahr, Iran
2 - دانشکده مهندسی برق و کامپیوتر، دانشگاه آزاد اسلامی واحد خمینی شهر، اصفهان، ایران
3 - گروه مهندسی برق، واحد قزوین، دانشگاه آزاد اسلامی، قزوین، ایران
الکلمات المفتاحية: Two-axis gimbal, Fuzzy PID controller, Genetic algorithm, Optimal fuzzy PID controller,
ملخص المقالة :
A two-axis gimbal system is designed by two perpendicular single-axis gimbal systems. The optimization objectives for controlling this system are to obtain the optimal rotation paths around the y and z axes with the requirement of covering all the lines of sight (LOS) in the area of LOS. To achieve the objectives of the above two control inputs as DC motor voltages, the angles of the two axes serve as the outputs of the system, which efficiently tracks the reference points. In this paper, a fuzzy logic PID controller is proposed for precise path tracking for gimbal movement in two axes. The control objectives of this system are to obtain the best time required for achieving the desired rotation path and to reduce the steady-state error of the system. In order to optimize the performance, the centers of fuzzy membership functions are modeled with the genetic algorithm (GA) method. Simulation results show that the proposed controller outperforms both the PID and fuzzy PID controller when tracking various command signals. Additionally, in the presence of uncertainty in the system, the optimal fuzzy PID controller is the most effective for the best performance. It confirms the robustness of this controller in dynamic operating conditions.
[1] H. Ghadiri, A. Mohammadi, and H. Khodadadi, "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, vol. 44, no. 2, p. 70, 2022.
[2] N. Cong Danh, "The Stability of a Two‐Axis Gimbal System for the Camera," The Scientific World Journal, vol. 2021, no. 1, p. 9958848, 2021.
[3] J. Sharma, Y. V. Hote, and R. Prasad, "Robust PID control of single-axis gimbal actuator via stability boundary locus," IFAC-PapersOnLine, vol. 53, no. 1, pp. 27-32, 2020.
[4] A. Naderolasli and M. Tabatabaei, "Two-axis gimbal system stabilization using adaptive feedback linearization," Recent Advances in Electrical and Electronic Engineering, vol. 13, no. 3, pp. 355-368, 2020.
[5] R. Jahanandish, A. Khosravifard, R. Vatankhah, and V. Cheraghi, "Parameter Estimation and Fuzzy Controller Design for a Two-Axis Gimbal," in Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making: Proceedings of the INFUS 2019 Conference, Istanbul, Turkey, July 23-25, 2019, 2020, pp. 89-97: Springer.
[6] R. Jahanandish, A. Khosravifard, and R. Vatankhah, "Determination of uncertain parameters of a two-axis gimbal and motion tracking via Fuzzy logic control approach," Journal of Intelligent and Fuzzy Systems, vol. 39, no. 5, pp. 6565-6577, 2020.
[7] M. Khayatian and M. M. Arefi, "Adaptive dynamic surface control of a two‐axis gimbal system," IET Science, Measurement and Technology, vol. 10, no. 6, pp. 607-613 2016.
[8] R. Rajesh and C. Ananda, "PSO tuned PID controller for controlling camera position in UAV using 2-axis gimbal," in 2015 International Conference on Power and Advanced Control Engineering (ICPACE), 2015, pp. 128-133: IEEE.
[9] L. Zhang, H. Nan, Z. Zhao, and Y. Yuan, "Adaptive disturbance observer-based dual-loop integral-type fast terminal sliding mode control for micro spacecraft and its gimbal tracking device," ISA transactions, vol. 130, pp. 121-135, 2022.
[10] M. Patel and B. Pratap, "Genetic Algorithm Based Sliding Mode Controller for Underactuated 2-DoF Gyroscope," in Control and Measurement Applications for Smart Grid: Select Proceedings of SGESC 2021: Springer, 2022, pp. 299-312.
[11] F. Fu, X. Lei, and R. Wang, "A compound control method based on the adaptive linear extended state observer and global fast terminal sliding mode control for inertially stabilized platform," Machines, vol. 10, no. 6, p. 426, 2022.
[12] N. V. Phuong, N. T. Tuyen, N. D. Khanh, and N. N. Hung, "Designing a Robust Control System Based on Sliding Mode Control for Two-axis Gimbal Systems," in 2024 Conference of Young Researchers in Electrical and Electronic Engineering (ElCon), 2024, pp. 455-458: IEEE.
[13] M. Ashok Kumar and S. Kanthalakshmi, "H∞ Control law for line of sight stabilization in two-axis gimbal system," Journal of Vibration and Control, vol. 28, no. 1-2, pp. 182-191, 2022.
[14] D.-H. Lee, D.-Q. Tran, Y.-B. Kim, and S. Chakir, "A robust double active control system design for disturbance suppression of a two-axis gimbal system," Electronics, vol. 9, no. 10, p. 1638, 2020.
[15] Q. Duan, X. Zhou, Q. He, X. Chen, W. Liu, and Y. Mao, "Pointing control design based on the PID type-III control loop for two-axis gimbal systems," Sensors and Actuators A: Physical, vol. 331, p. 112923, 2021.
[16] M. Abdo, A. R. Vali, A. R. Toloei, and M. R. Arvan, "Modeling control and simulation of two axes gimbal seeker using fuzzy PID controller," in 2014 22nd Iranian Conference on Electrical Engineering (ICEE), 2014, pp. 1342-1347.
[17] S. Senthil Kumar and G. Anitha, "Fuzzy logic-based self-tuning PID controllers using parameters adaptive method for stabilization of a two-axis seeker gimbal," IETE Journal of Research, vol. 69, no. 9, pp. 6188-6197, 2023.
[18] S. Senthil Kumar and G. Anitha, "A Novel Self‐Tuning Fuzzy Logic‐Based PID Controllers for Two‐Axis Gimbal Stabilization in a Missile Seeker," International Journal of Aerospace Engineering, vol. 2021, no. 1, p. 8897556, 2021.
[19] Q. Huang, et al., "Modeling and Control of a Two-Axis Stabilized Gimbal Based on Kane Method," Sensors, vol. 24, no. 11, 3615, 2024.
[20] Q. Shi, H. Wang, H. Cheng, M. Wang, F. Cheng, and F. Liu, "Fuzzy disturbance observer-based modified variable gains super-twisting sliding mode composite control for a two-axis airborne optoelectronic stabilized platform," Optik, vol. 228, p. 166132, 2021.
[21] R. Ye, B. Yan, K. Shi, and M. Chen, "Interval type-2 fuzzy sliding-mode control of three-axis stabilization gimbal," IEEE Access, vol. 8, pp. 180510-180519, 2020.
[22] A. Emamifard and H. Ghadiri, "Robust control of nonlinear fractional-order systems with unknown upper bound of uncertainties and external disturbance," IETE Journal of Research, vol. 69, no. 5, pp. 2621-2632, 2023.
[23] H. Ghadiri, H. Khodadadi, S. Mobayen, J. H. Asad, T. Rojsiraphisal, and A. Chang, "Observer-Based Robust Control Method for Switched Neutral Systems in the Presence of Interval Time-Varying Delays," Mathematics, vol. 9, no. 19, p. 2473, 2021.
[24] H. Khodadadi and H. Ghadiri, "Fuzzy logic self-tuning PID controller design for ball mill grinding circuits using an improved disturbance observer," Mining, Metallurgy and Exploration, vol. 36, no. 6, pp. 1075-1090, 2019.
[25] H. Khodadadi, M. R. J. Motlagh, and M. Gorji, "Robust control and modeling a 2-DOF inertial stabilized platform," in International Conference on Electrical, Control and Computer Engineering 2011 (InECCE), 2011,pp. 223-228.
[26] H. Ghadiri and H. Khodadadi, "Position Control of an Electrohydraulic Servo System Based on Sliding Mode Adaptive Fuzzy Controller," Technovations of Electrical Engineering in Green Energy System, vol. 2, no. 3, pp. 13-35, 2023.
[27] A. Abdollahi, A. F. Tabar, and H. Khodadadi, "Optimal controller design for quadrotor by genetic algorithm with the aim of optimizing the response and control input signals," Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vonv 36, no. 3, pp. 135-147, 2015.
[28] Ghadiri, Hamid, et al., "Pso based takagi-sugeno fuzzy pid controller design for speed control of permanent magnet synchronous motor," Facta Universitatis, Series: Electronics and Energetics, vol. 34, no. 2, pp. 203-217, 2021.
