Application of the Fractional Order Proportional Integral Derivative Scheme for Two-Link Planar Robot Control
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Abstract
Robotic systems are increasingly important across modern technological and industrial sectors, yet their nonlinear dynamics and demanding operational requirements continue to challenge conventional control approaches. Linear controllers may not adequately manage such systems, whereas nonlinear controllers are often complex to implement. This study proposes and evaluates a Fractional-Order Proportional–Integral–Derivative (FPID) controller for a two-link planar robot and compares its performance with that of a conventional Proportional–Integral–Derivative (PID) controller. The analytical system model was adapted from Nazif et al. (2023), with frictional disturbance incorporated into the evaluation. Sinusoidal and step-response simulations were conducted using MATLAB/Simulink. Under sinusoidal input, the FPID controller improved tracking accuracy by 5% for Link 1 and 18% for Link 2 relative to the PID controller. Under step input, it reduced overshoot by 44% and 38%, improved settling time by 58% and 67%, and increased accuracy by 23% and 24% for Links 1 and 2, respectively. These results demonstrate that the FPID control scheme provides greater accuracy, faster response, lower overshoot, and more robust performance than the conventional PID scheme. The study establishes FPID control as a suitable approach for improving the dynamic performance of two-link planar robots under frictional disturbance and provides a basis for further controller refinement to achieve additional performance gains.

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References
Baccouch, M., & Dodds, S. (2020). A two-link robot manipulator: Simulation and control design. International Journal of Robotic Engineering, 5(2), Article 028. https://doi.org/10.35840/2631-5106/4128
Eltayeb, A., Ahmed, G., Imran, I. H., Alyazidi, N. M., & Abubaker, A. (2024). Comparative analysis: Fractional PID vs. PID controllers for robotic arm using genetic algorithm optimization. Automation, 5(3), 230–245. https://doi.org/10.3390/automation5030014
Gao, D., & Book, W. J. (2006). Steerability for planar dissipative passive haptic interfaces. IEEE/ASME Transactions on Mechatronics, 11(2), 179–184. https://doi.org/10.1109/TMECH.2006.871093
Han, F., & Jia, Y. (2020). Sliding mode boundary control for a planar two-link rigid-flexible manipulator with input disturbances. International Journal of Control, Automation and Systems, 18(2), 351–362. https://doi.org/10.1007/s12555-019-0277-0
Husnain, S., & Abdulkader, R. (2023). Fractional order modeling and control of an articulated robotic arm. Engineering, Technology & Applied Science Research, 13(6), 12026–12032. https://doi.org/10.48084/etasr.6270
İlgen, S., Durdu, A., Gülbahçe, E., & Çakan, A. (2018). Sliding mode control of a two-link robot manipulator using Adams and MATLAB software. In 2018 6th International Conference on Control Engineering & Information Technology (CEIT) (pp. 1–4). IEEE. https://doi.org/10.1109/CEIT.2018.8751938
Jelačić, Z., Dedić, R., & Dindo, H. (2020). Prosthetic modelling and simulation. In Active above-knee prosthesis: A guide to a smart prosthetic leg (pp. 109–154). Academic Press.
Mailah, M., & Poh, Y. L. (2005). Development of a software for simulating active force control schemes of a two-link planar manipulator. Jurnal Teknologi, 43, 49–72. https://doi.org/10.11113/jt.v43.757
Nazif, D. M., Mohammed, A., Hassan, S. M., & Usman, I. H. (2023). Simplified exponential reaching law based sliding mode control of two-link planar robot. Nigerian Journal of Tropical Engineering, 17(1), 1–9. https://doi.org/10.59081/njte.17.1.001
Nguyen, T. L., Nguyen, H. Q., Duong, M. D., & Ngo, K. T. (2020). Exponential reaching law sliding mode control for dual arm robots. Journal of Engineering Science and Technology, 15(4), 2841–2853.


















