Jerk-bounded trajectory planning for rotary flexible joint manipulator: an experimental approach
Tóm tắt
The fundamental criteria for industrial manipulator applications are vibration free and smooth motion with minimum time. This paper investigates the trajectory tracking and vibration control of rotary flexible joint manipulator with parametric uncertainties. Firstly, the dynamic modeling via Euler Lagrange equation for a single link flexible joint manipulator is discussed. Secondly, for the execution of smooth motion between two points, bounded and continuous jerk trajectory is developed and implemented. In addition, the prospective strategy uses the concatenation of fifth-order polynomials to provide a smooth trajectory between two-way points. In the planned algorithm, user can independently define the position, velocity, acceleration and jerk values at both initial and final positions. The feature of user-defined parameters gives the versatility to the suggested algorithm for generating trajectories for diverse applications of robotic manipulators. Moreover, the planned scheme is easy to implement and computationally efficient. In the last, the performance of the presented scheme is examined by comparison with cubic splines and a linear segment with parabolic blends (LSPB) techniques. Generated trajectories were evaluated successfully by carrying multiple experiments on QUANSER’s flexible joint manipulator.
Tài liệu tham khảo
Ardeshiri T, Norrlöf M, Löfberg J (2011) Convex optimization approach for time-optimal path tracking of robots with speed-dependent constraints. IFAC Proc 1:14648–14653
Aribowo W, Terashima K (2014) Cubic spline trajectory planning and vibration suppression of semiconductor wafer transfer robot arm. Int J Autom Technol 2:265–274
Barre PJ, Bearee R, Borne P (2005) Influence of a jerk controlled movement law on the vibratory behaviour of high-dynamics systems. J Intell Robot Syst 3:275–293
Bilal H, Guo Y (2017) Experimental validation of fuzzy PID control of the flexible joint system in presence of uncertainties. In: Proc. IEEE 36th Chinese Control Conf, Dalian, China, July 2017, pp 4192–4197
Chen, Lin, et al. "Transformer-based Imitative Reinforcement Learning for Multi-Robot Path Planning." IEEE Transactions on Industrial Informatics (2023).
Demeulenaere B (2009) Caigny, de; optimal splines for rigid motion systems: benchmarking and extensions. J Mech Des 10:101005
Gasparetto A, Zanotto V (2010) Optimal trajectory planning for industrial robots. Adv Eng Softw 4:548–556
Guernane R, Nouara R (2011) Generating optimized paths for motion planning. Robot Auton Syst 10:789–800
Quanser Student Handout, Rotary Flexible Joint Module. http://www.quanser.com.
Huashan L, Lai X, Wu W (2013) Time-optimal and jerk-continuous trajectory planning for robot manipulators with kinematic constraints. Robot Comput Integr Manuf 2:309–317
Kim JY, Dong-Hyeok K (2007) On-line minimum-time trajectory planning for industrial manipulators. In: IEEE International Conference “Control, Autom Syst”, Seoul, South Korea, pp 36–40
Krešimir P, Kovacic Z (2007) Trajectory planning algorithm based on the continuity of jerk. In: IEEE Mediterranean Conference “Control Autom”. Athens, Greece, pp 1–5.
Lee C, An D (2022) AI-based posture control algorithm for a 7-DOF robot manipulator. Machines 10(8):651
Li C, Zheng Z, Yuan J (2023) Trajectory tracking for repeated-impact-based detumbling using a multi-arm space robot. Aerosp Sci Technol. https://doi.org/10.1016/j.ast.2023.108144
Liu L, Chen C, Zhao X (2016) Smooth trajectory planning for a parallel manipulator with joint friction and jerk constraints. Int J Control Autom Syst 4:1022–1036
Liu Z et al (2023) Automatic joint motion planning of 9-DOF robot based on redundancy optimization for wheel hub polishing. Robot Comput-Integr Manuf 81:102500
Macfarlane S, Elizabeth AC (2001) Design of jerk bounded trajectories for online industrial robot applications. In: IEEE Int Conf “Robot Autom” Seoul, South Korea, pp 979–984.
Meng Q et al (2021) Motion planning and adaptive neural tracking control of an uncertain two-link rigid–flexible manipulator with vibration amplitude constraint. IEEE Trans Neural Netw Learn Syst 33.8:3814–3828
Nguyen KD, Ng TC, Chen IM (2008) On algorithms for planning s-curve motion profiles. Int J Adv Robot 1:99–106
Pattacini U, Nori F, Natale L (2010) An experimental evaluation of a novel minimum-jerk cartesian controller for humanoid robots. In: IEEE/RSJ International Conf “Intell Robots Syst pp 1668–1674
Perumaal SS, Jawahar N (2013) Automated trajectory planner of an industrial robot for pick-and-place task. Int J Adv Robot Syst 2:100
Peza-Solis JF et al (2022) Trajectory tracking of a single flexible-link robot using a modal cascaded-type control. Appl Math Model 104:531–547
Porawagama CD, Munasinghe, SR (2014) Reduced jerk joint space trajectory planning method using a 5–3–5 spline for robot manipulators. In: IEEE 7th International Conference “Information and Automation for Sustainability”, Colombo, Sri Lanka pp 1–6
Prakash A, Giri DK, Kumar SR (2022) Dynamic velocity error based trajectory tracking for space robotic manipulator. Aerosp Sci Technol 126:107650
Sencer B, Tajima S (2017) Frequency optimal feed motion planning in computer numerical controlled machine tools for vibration avoidance. J Manuf Sci Eng Trans 1:011006–011013
Shi M et al (2022) Research on vibration suppression and trajectory tracking control strategy of a flexible link manipulator. Appl Math Model 110:78–98
Springer K, Gattringer H, Staufer P (2013) On time-optimal trajectory planning for a flexible link robot. Proc Inst Mech Eng, i: J Syst Control Eng 10:752–763
Tortopidis I, Papadopoulos E (2007) On point-to-point motion planning for underactuated space manipulator systems. Robot Auton Syst 2:122–131
William S (2009) Command shaping for flexible systems—a review of the first 50 years. Int J Precis Eng Manuf 4:153–168
Younsung C, Donghyung K, Soonwoong H (2017) Dual-arm robot motion planning for collision avoidance using B-spline curve. Int J Precis Eng Manuf 6:835–843
Yu X, Dong M, Yin W (2022) Time-optimal trajectory planning of manipulator with simultaneously searching the optimal path. Comput Commun 181:446–453
Zhang K, Guo JX, Gao XS (2013) Cubic spline trajectory generation with axis jerk and tracking error constraints. Int J Precis Eng Manuf 7:1141–1146
Zhang Q, Li S, Guo JX (2016) Time-optimal path tracking for robots under dynamics constraints based on convex optimization. Robotica 34:2116–2139
Zhao MY, Gao XS, Zhang Q (2017) An efficient stochastic approach for robust time-optimal trajectory planning of robotic manipulators under limited actuation. Robotica 35:1–18