(1) Department of Mechanical Engineering, International Islamic University Malaysia, Kuala Lumpur, Malaysia. 2) Visiting Professor, University Nevada Las Vegas, United States)(2) M. Rabie
(Minia University, Egypt)(3) Ahmad O. Moaaz
(Beni-Suef University, Egypt)(4) * Nouby M. Ghazaly
(1) Technical College, Imam Ja’afar Al-Sadiq University, Baghdad, Iraq. 2) Department of Mechanical Engineering, South Valley University, Qena, Egypt)(5) Mostafa M. Makrahy
(Minia University)*corresponding author
AbstractThe increasing demand for robotic applications has emphasized the need for advanced control strategies, particularly for flexible manipulators with lightweight links. These manipulators offer advantages such as reduced energy consumption, increased payload capacity, and precise high-speed operation but face challenges due to oscillations and delays caused by their flexibility. This study evaluates the performance of Fuzzy Logic Control (FLC) and Linear Quadratic Regulator (LQR) techniques for a Quanser two-link flexible manipulator, using quantitative metrics to compare their effectiveness. The LQR controller was implemented using state-space modeling, with weighting matrices Q and R tuned to achieve minimal overshoot and fast settling times. The FLC system employed five triangular membership functions for inputs and outputs, covering normalized ranges of [-1, 1] for angular errors and [-2.75, 2.75] for error rates, with a heuristic rule base designed to optimize performance. Simulations were conducted under step input conditions at target angles of 30° and 60°, with performance evaluated using vibration amplitude, settling time, steady-state error, and overshoot. Quantitatively, the LQR controller reduced vibration amplitudes to 5 radians for a 30° input and achieved settling times of approximately 2 seconds. For the same conditions, the FLC system reduced vibrations further to 4 radians, though with slightly longer settling times of around 2.3 seconds. At a 60° input, LQR vibrations peaked at over 10 radians, while FLC maintained peak vibrations at approximately 4 radians. These results highlight the FLC’s superior vibration suppression, particularly at higher input angles, albeit with marginally slower response times. However, the study was limited to idealized simulation conditions and requires further experimental validation. This research underscores the trade-offs between LQR’s precision and FLC’s adaptability, emphasizing the importance of parameter tuning and system modeling in achieving optimal performance for flexible manipulators. KeywordsRobot; Manipulator; Fuzzy Logic Controller (FLC); Linear Quadratic Controller (LQR); Qaunser Robot
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DOIhttps://doi.org/10.31763/ijrcs.v5i1.1669 |
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References
[1] A. S. Yigit, “A Robust Controller for a Two-Link Rigid-Flexible Manipulator,” ASME Dynamic Systems and Control, vol. 116, no. 2, pp. 208-215, 1994, https://doi.org/10.1115/1.2899212.
[2] A. De Luca and G. D. Giovanni, "Rest-to-rest motion of a two-link robot with a flexible forearm," 2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Proceedings (Cat. No.01TH8556), vol. 2, pp. 929-935, 2001, https://doi.org/10.1109/AIM.2001.936795.
[3] W. Beres, J. Z. Sasiadek and G. Vukovich, "Control and dynamic analysis of multilink flexible manipulator," [1993] Proceedings IEEE International Conference on Robotics and Automation, vol. 3, pp. 478-483, 1993, https://doi.org/10.1109/ROBOT.1993.292218.
[4] S. K. Dwivedy, P. Eberhard, “Dynamic analysis of flexible manipulators, a literature review,” Mechanism and Machine Theory, vol. 41, no. 7, pp. 749–777, 2006, https://doi.org/10.1016/j.mechmachtheory.2006.01.014.
[5] H. Yang, H. Krishnan and M. H. Ang, "Variable structure controller design for flexible-link robots under gravity," Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), vol. 2, pp. 1494-1499, 1998, https://doi.org/10.1109/CDC.1998.758499.
[6] M. Benosman, F. Boyer, G. L. Vey, D. Primault, “Flexible Links Manipulators: from Modelling to Control,” Journal of Intelligent and Robotic Systems, vol. 34, pp. 381–414, 2002, https://doi.org/10.1023/A:1019639517064.
[7] L. Zhang, F. Sun and Z. Sun, "Cloud Model-based Control of Flexible-Link Manipulators," 2005 International Conference on Neural Networks and Brain, pp. 1067-1072, 2005, https://doi.org/10.1109/ICNNB.2005.1614802.
[8] Z. Luo and Y. Sakawa, "Gain adaptive direct strain feedback control of flexible robot arms," Proceedings of TENCON '93. IEEE Region 10 International Conference on Computers, Communications and Automation, vol. 4, pp. 199-202, 1993, https://doi.org/10.1109/TENCON.1993.320467.
[9] A. S. Morris, A. Madani, “Quadratic optimal control of a two-flexible-link robot manipulator,” Robotica, vol. 16, no. 1, pp. 97-108, 1998, https://doi.org/10.1017/S0263574798000186.
[10] F. Matsuno, T. Asano, N. Asai and Y. Sakawa, "Quasi-static hybrid position/force control of two-degree-of-freedom flexible manipulators," Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91, vol. 2, pp. 984-989, 1991, https://doi.org/10.1109/IROS.1991.174617.
[11] T. Yoshikawa, K. Hosoda, K. Harada, A. Matsumoto and H. Murakami, "Hybrid position/force control of flexible manipulators by macro-micro manipulator system," Proceedings of the 1994 IEEE International Conference on Robotics and Automation, vol. 3, pp. 2125-2130, 1994, https://doi.org/10.1109/ROBOT.1994.350968.
[12] L. Xiaoguang and L. Junyi, "A controller with impulse force moment design for two-links flexible manipulator," Proceedings of the 4th World Congress on Intelligent Control and Automation (Cat. No.02EX527), vol. 4, pp. 3058-3062, 2002, https://doi.org/10.1109/WCICA.2002.1020091.
[13] L. Tian, C. Collins, “A dynamic recurrent neural network-based controller for a rigid-flexible manipulator system,” Journal of Mechatronics, vol. 14, no. 5, pp. 471-490, 2004, https://doi.org/10.1016/j.mechatronics.2003.10.002.
[14] M. Uyar, L. Malgaca, “Implementation of Active and Passive Vibration Control of Flexible Smart Composite Manipulators with Genetic Algorithm,” Arabian Journal for Science and Engineering, vol. 48, pp. 3843–3862, 2023, https://doi.org/10.1007/s13369-022-07279-2.
[15] V. B. Nguyen, X. C. Bui, “Hybrid Vibration Control Algorithm of a Flexible Manipulator System,” Robotics, vol. 12, no. 3, p. 73, 2023, https://doi.org/10.3390/robotics12030073.
[16] J. D. J. Lima et al., “SDRE applied to position and vibration control of a robot manipulator with a flexible link,” Journal of Theoretical and Applied Mechanics, vol. 54, no. 4, pp. 1067–1078, 2016, http://dx.doi.org/10.15632%2Fjtam-pl.54.4.1067.
[17] H. Liu, Q. Cheng, J. Xiao, L. Hao, “Performance-based data-driven optimal tracking control of shape memory alloy actuated manipulator through reinforcement learning,” Engineering Applications of Artificial Intelligence, vol. 114, p. 105060, 2022, https://doi.org/10.1016/j.engappai.2022.105060.
[18] J. Fei, "Active vibration control of flexible steel cantilever beam using piezoelectric actuators," Proceedings of the Thirty-Seventh Southeastern Symposium on System Theory, 2005. SSST '05., pp. 35-39, 2005, https://doi.org/10.1109/SSST.2005.1460873.
[19] K. Ishihata, Jianming Lu and T. Yahagi, "Vibration control of flexible robotic arms using robust model matching control," Proceedings of the Power Conversion Conference-Osaka 2002 (Cat. No.02TH8579), vol. 2, pp. 907-911, 2002, https://doi.org/10.1109/PCC.2002.997642.
[20] Z. Zhou, Y. Liu, H. Dai, “Fully distributed strain-based output feedback for enhanced sensitivity in damage diagnosis of structures,” Measurement, vol. 208, p. 112448, 2023, https://doi.org/10.1016/j.measurement.2023.112448.
[21] J. H. Yang, F. L. Lian and L. C. Fu, "Nonlinear adaptive control for flexible-link manipulators," IEEE Transactions on Robotics and Automation, vol. 13, no. 1, pp. 140-148, 1997, https://doi.org/10.1109/70.554355.
[22] N. D. Zorić, A. M. Simonović, Z. S. Mitrović, S. N. Stupar, A. M. Obradović, N. S. Lukić, “Free vibration control of smart composite beams using particle swarm optimized self-tuning fuzzy logic controller,” Journal of Sound and Vibration, vol. 333, no. 21, pp. 5244-5268, 2014, https://doi.org/10.1016/j.jsv.2014.06.001.
[23] Y. Ouyang, W. He, X. Li, J. Liu, G. Li, “Vibration Control Based on Reinforcement Learning for a Single-link Flexible Robotic Manipulator,” IFAC-Papers OnLine, vol. 50, no. 1, pp. 3476–3481, 2017, https://doi.org/10.1016/j.ifacol.2017.08.932.
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