Keywords: robotic manipulator, adaptive control, hybrid optimal control, particle swarm optimization, trajectory tracking
UDC 681.513.6:621.865.8
DOI: 10.26102/2310-6018/2026.55.4.007
This paper addresses the problem of high-precision trajectory tracking for a nonlinear three-link robotic manipulator operating under parametric uncertainties and external disturbances. Conventional PID and classical adaptive control methods often demonstrate limited robustness and suboptimal energy efficiency when applied to dynamically coupled multi-link systems. To overcome these limitations, a Hybrid Adaptive-Optimization Control Framework is proposed. The approach integrates Adaptive Computed Torque Control with a Modified Particle Swarm Optimization algorithm for systematic controller gain tuning. The manipulator dynamics are derived using the Euler – Lagrange formulation and implemented in MATLAB through numerical time-domain integration. Controller parameters are optimized offline using a multi-objective cost function that incorporates trajectory tracking error, control effort, and energy consumption. The optimized gains are then applied within an online adaptive compensation structure to enhance robustness against modeling uncertainties. The simulation results show that the proposed approach provides a reduction in the mean square error by approximately 26 % compared to the standard adaptive control, a reduction in the settling time, a reduction in the normalized energy consumption and a reduction in torque pulsation, which confirms the improvement in the accuracy, robustness and energy efficiency of the system.
1. Tong Y., Liu J., Zhou H., Ju Zh., Zhang X. Adaptive tracking control of robotic manipulators with unknown kinematics and uncertain dynamics. IEEE Transactions on Automation Science and Engineering. 2024;21(4):5252–5269. https://doi.org/10.1109/TASE.2023.3309964
2. Gamez-Herrera D., Sifuentes-Mijares J., Santibañez V., Gandarilla I. Composite adaptive control of robot manipulators with friction as additive disturbance. Actuators. 2025;14(5). https://doi.org/10.3390/act14050237
3. Ozguney O.C., Burkan R. Adaptive-robust control of hybrid robot manipulator. Journal of Control Engineering and Applied Informatics. 2025;27(4):49–57. https://doi.org/10.61416/ceai.v27i4.9553
4. Shami T.M., El-Saleh A.A., Alswaitti M., et al. Particle swarm optimization: A comprehensive survey. IEEE Access. 2022;10:10031–10061. https://doi.org/10.1109/ACCESS.2022.3142859
5. Ahmed G., Eltayeb A., Alyazidi N.M., et al. Improved particle swarm optimization for fractional order PID control design in robotic manipulator system: A performance analysis. Results in Engineering. 2024;24. https://doi.org/10.1016/j.rineng.2024.103089
6. Urrea C. Industrial Robotics and Adaptive Control Systems in STEM Education: Systematic Review of Technology Transfer from Industry to Classroom and Competency Development Framework. Applied Sciences. 2026;16(4). https://doi.org/10.3390/app16042026
7. Li T., Zhang G., Zhang T., Pan J. Adaptive Neural Network Tracking Control of Robotic Manipulators Based on Disturbance Observer. Processes. 2024;12(3). https://doi.org/10.3390/pr12030499
8. Zhang H., Zhao Y., Wang Y., Liu L. Adaptive neural network control of robotic manipulators with input constraints and without velocity measurements. IET Control Theory & Applications. 2024;18:1232–1247. https://doi.org/10.1049/cth2.12660
9. Sun W., Jin Y., Dai K., Guo Zh., Ma F. Flexible manipulator trajectory tracking based on an improved adaptive particle swarm optimization algorithm with fuzzy PD control. Mechanical Sciences. 2025;16(1):125–141. https://doi.org/10.5194/ms-16-125-2025
10. Benmachiche A., Derdour M., Kahil M.S., Ghanem M.Ch., Deriche M. Adaptive Hybrid PSO-APF Algorithm for Advanced Path Planning in Next-Generation Autonomous Robots. Sensors. 2025;25(18). https://doi.org/10.3390/s25185742
11. Kashko V.V., Oleinikova S.A. Mathematical model of a universal control system for a walking robot based on reinforcement learning methods. Modeling, Optimization and Information Technology. 2024;12(1). (In Russ.). https://doi.org/10.26102/2310-6018/2024.44.1.025
12. Aouaichia A., Stihi S., Fareh R., et al. Neural network model predictive control with active disturbance rejection for robot manipulators trajectory tracking. Journal of the Franklin Institute. 2025;362(13). https://doi.org/10.1016/j.jfranklin.2025.107910
Keywords: robotic manipulator, adaptive control, hybrid optimal control, particle swarm optimization, trajectory tracking
For citation: La M., Lwan M. Hybrid adaptive optimal control with MPSO-based parameter tuning for a three-link robotic manipulator. Modeling, Optimization and Information Technology. 2026;14(4). URL: https://moitvivt.ru/ru/journal/article?id=2243 DOI: 10.26102/2310-6018/2026.55.4.007 .
© La M., Lwan M. Статья опубликована на условиях лицензии Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NS 4.0)Received 02.03.2026
Revised 09.04.2026
Accepted 17.04.2026