Analysis of Design Considerations for a 6 DoF Mobile Manipulator Based on Manipulability Measure
DOI:
https://doi.org/10.18196/jrc.v6i1.24411Keywords:
Mobile Manipulator, Kinematics, Modeling, Manipulability, Manipulability EllipsoidAbstract
Mobile manipulators are highly versatile and are used across various fields due to their flexibility, reach, and adaptability. Hence it finds applications that involve complex environments or require high precision. The mobile manipulation tasks require the manipulators to retain good manipulation capability, which calls for reasonable motion planning. Manipulability, a crucial metric indicating the robot’s ability to perform effective and efficient manipulation tasks, serves as the central criterion for the design of redundant mobile manipulators (MM). In addition to this, for applications where the mobile base and manipulator are moving simultaneously, a design configuration with good manipulability measure is preferred. This study fills a significant gap in the literature by offering an analysis of the design considerations for a redundant MM for improved manipulability measure. In this paper, the end effector of a 6 DoF MM is made to move through a predefined trajectory, and the manipulability measure and manipulability ellipsoid are computed at various points in the workspace. The analysis is done based on various link length ratios, mounting positions of the arm, and mobile base speeds. The manipulability ellipsoids at various locations in the task space were analyzed which is indicative of maximum and minimum velocities achievable by the end effector. Based on the analysis, the best configuration is identified and a kinematic controller is designed for this configuration which traces the reference trajectory with high manipulability. An exhaustive simulation study shows the benefits of the suggested design principles and control techniques, reaffirming the significance of optimized link lengths, mounting positions, and mobile base speeds in enhancing manipulability. Although this study is carried out in a 6 DoF MM, the novelty of this research lies in its emphasis on enabling design of redundant MM for better manipulability which lays a strong foundation for future applications.
References
C. C. Kemp, A. Edsinger, H. M. Clever and B. Matulevich, “The Design of Stretch: A Compact, Lightweight Mobile Manipulator for Indoor Human Environments,” 2022 International Conference on Robotics and Automation (ICRA), pp. 3150-3157, 2022, doi: 10.1109/ICRA46639.2022.9811922.
C. Wu, H. Fang, Q. Yang, X. Zeng, Y. Wei and J. Chen, “Distributed Cooperative Control of Redundant Mobile Manipulators With Safety Constraints,” in IEEE Transactions on Cybernetics, vol. 53, no. 2, pp. 1195-1207, 2023, doi: 10.1109/TCYB.2021.3104044.
Y. Zeng et al., “Task Sensing and Adaptive Control for Mobile Manipulator in Indoor Painting Application,” in IEEE/ASME Transactions on Mechatronics, vol. 29, no. 4, pp. 2956-2963, 2024, doi: 10.1109/TMECH.2024.3399787.
C. Liu, W. Feng, X. Shi, L. Song and Y. Liu, “Hierarchical Planning Algorithm for Redundant Mobile Manipulators to Follow a Given Trajectory,” 2021 IEEE 11th Annual International Conference on CYBER Technology in Automation, Control, and Intelligent Systems (CYBER), pp. 122-127, 2021, doi: 10.1109/CYBER53097.2021.9588312.
Y. S. Choi, I. Rhee, P. T. Hoang, and H. R. Choi, “Simple desired manipulability ellipsoid with velocity and force for control of redundant manipulator,” Journal of Mechanical Science and Technology, vol. 37, no. 4, pp. 2033-2041, 2023, doi: 10.1007/s12206-023-0339-3.
X. Yang, Z. Zhao, B. Ma, Z. Xu, J. Zhao and H. Liu, “Kinematic and Dynamic Manipulability Optimizations of Redundant Manipulators Based on RNN Model,” in IEEE Transactions on Industrial Informatics, vol. 20, no. 4, pp. 5763-5773, 2024, doi: 10.1109/TII.2023.3334305.
X. Li, L. Luo, H. Zhao, D. Ge, and H. Ding, “Inverse Kinematics Solution Based on Redundancy Modeling and Desired Behaviors Optimization for Dual Mobile Manipulators,” Journal of Intelligent and Robotic Systems, vol. 108, no. 37, 2023, doi: 10.1007/s10846-023-01884-5.
Y. Zhang, X. Yan, D. Chen, D. Guo, and W. Li, “QP-based refined manipulability-maximizing scheme for coordinated motion planning and control of physically constrained wheeled mobile redundant manipulators,” Nonlinear Dynamics, vol. 85, pp. 245–261, 2016, doi: 10.1007/s11071-016-2681-9.
I. Akli, “Trajectory planning for mobile manipulators including Manipulability Percentage Index,” International Journal of Intelligent Robotics and Applications, vol. 5, pp. 543–557, 2021, doi: 10.1007/s41315-021- 00190-3.
F. Chen, M. Selvaggio and D. G. Caldwell, “Dexterous Grasping by Manipulability Selection for Mobile Manipulator With Visual Guidance,” in IEEE Transactions on Industrial Informatics, vol. 15, no. 2, pp. 1202- 1210, 2019, doi: 10.1109/TII.2018.2879426.
A. Xie, T. Chen, G. Zhang, Y. Li and X. Rong, “Manipulability Enhancement of Legged Manipulators by Adaptive Motion Distribution,” in IEEE Transactions on Industrial Electronics, vol. 72, no. 1, pp. 724-733, 2025, doi: 10.1109/TIE.2024.3413833.
J. Leoro, and T. Hsiao, “Motion planning of nonholonomic mobile manipulators with manipulability maximization considering joints physical constraints and self-collision avoidance,” Applied Sciences, vol. 11, no. 14, 2021, doi: 10.3390/app11146509.
J. H. Choi, U. H. Sagong, J. H. Park, M. Kim and M. J. Hwang, “Motion Planning of Mobile Manipulator Using Virtual Impedance Energy Field,” in IEEE Access, vol. 12, pp. 89776-89793, 2024, doi: 10.1109/ACCESS.2024.3400854.
J. H. Choi, U. H. Sagong, J. H. Park, M. Kim and M. J. Hwang, “Motion Planning of Mobile Manipulator Using Virtual Impedance Energy Field,” in IEEE Access, vol. 12, pp. 89776-89793, 2024, doi: 10.1109/ACCESS.2024.3400854.
T. Pardi, V. Maddali, V. Ortenzi, R. Stolkin and N. Marturi, “Path planning for mobile manipulator robots under non-holonomic and task constraints,” 2020 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 6749-6756, 2020, doi: 10.1109/IROS45743.2020.9340760.
J. H. Choi, U. H. Sagong, J. H. Park, M. Kim and M. J. Hwang, “Motion Planning of Mobile Manipulator Using Virtual Impedance Energy Field,” in IEEE Access, vol. 12, pp. 89776-89793, 2024, doi: 10.1109/ACCESS.2024.3400854.
I. Akli, “Trajectory planning for mobile manipulators including Manipulability Percentage Index,” International Journal of Intelligent Robotics and Applications, vol. 5, pp. 543-557, 2021, doi: 10.1007/s41315-021- 00190-3.
F. Maric, O. Limoyo, L. Petrovi ´ c, T. Ablett, I. Petrovi ´ c and J. ´ Kelly, “Fast Manipulability Maximization Using Continuous-Time Trajectory optimization,” 2019 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 8258-8264, 2019, doi: 10.1109/IROS40897.2019.8968441.
J. Pankert and M. Hutter, “Perceptive Model Predictive Control for Continuous Mobile Manipulation,” in IEEE Robotics and Automation Letters, vol. 5, no. 4, pp. 6177-6184, 2020, doi: 10.1109/LRA.2020.3010721.
Y. Yang, Y. Yan, C. Hua and J. Li, ”A Novel Predefined-Performance Control for Uncertain Nonholonomic Mobile Manipulator,” in IEEE Transactions on Industrial Informatics, vol. 20, no. 4, pp. 6467-6476, 2024, doi: 10.1109/TII.2023.3345463.
H. Zhang et al., “A novel coordinated motion planner based on capability map for autonomous mobile manipulator,” Robotics and autonomous systems, vol. 129, 2020, doi: 10.1016/j.robot.2020.103554.
H. Zhang, Q. Sheng, J. Hu, X. Sheng, Z. Xiong and X. Zhu, “Cooperative Transportation With Mobile Manipulator: A Capability Map-Based Framework for Physical Human–Robot Collaboration,” in IEEE/ASME Transactions on Mechatronics, vol. 27, no. 6, pp. 4396-4405, 2022, doi: 10.1109/TMECH.2022.3155601.
Li, Mantian, Zeguo Yang, Fusheng Zha, Xin Wang, Pengfei Wang, Ping Li, Qinyuan Ren, and Fei Chen. ”Design and analysis of a whole-body controller for a velocity controlled robot mobile manipulator.” Science China Information Sciences 63 (2020): 1-15.
W. Yuan, Y. -H. Liu, C. -Y. Su and F. Zhao, “Whole-Body Control of an Autonomous Mobile Manipulator Using Model Predictive Control and Adaptive Fuzzy Technique,” in IEEE Transactions on Fuzzy Systems, vol. 31, no. 3, pp. 799-809, 2023, doi: 10.1109/TFUZZ.2022.3189808.
B. Bayle, J. Y. Fourquet, and M. Renaud, “Manipulability of wheeled mobile manipulators: Application to motion generation,” The International Journal of Robotics Research, vol. 22, pp. 565-581, 2003, doi: 10.1177/02783649030227007.
J. Fu, Y. Li, S. Yin, B. Zheng and J. Yuan, “Robust Anti-Disturbance Coordinated Control for Multiple Manipulators,” in IEEE Access, vol. 8, pp. 95897-95905, 2020, doi: 10.1109/ACCESS.2020.2995770.
M. Ou, H. Sun, Z. Zhang, and S. Gu, “Fixed-time trajectory tracking control for nonholonomic mobile robot based on visual servoing,” Nonlinear Dynamics, vol. 108, pp. 251-263, 2022, doi: 10.1007/s11071-021-07191-8.
Z. Xie, L. Jin, X. Luo, M. Zhou and Y. Zheng, “A Biobjective Scheme for Kinematic Control of Mobile Robotic Arms With Manipulability Optimization,” in IEEE/ASME Transactions on Mechatronics, vol. 29, no. 2, pp. 1534-1545, 2024, doi: 10.1109/TMECH.2023.3313516.
B. Bayle, M. Renaud, and J. Y. Fourquet, “Nonholonomic mobile manipulators: kinematics, velocities and redundancies,” Journal of Intelligent and Robotic Systems, vol. 36, pp. 45-63, 2003, doi: 10.1023/A:1022361914123.
O. M. Kapustina and A. I. Kobrin, “Research on Mobile Manipulators Singular Kinematics by Computer Algebra Systems,” 2020 V International Conference on Information Technologies in Engineering Education (Inforino), pp. 1-4, 2020, doi: 10.1109/Inforino48376.2020.9111727.
F. Zhou, F. Nie, T. An, B. Ma, and Y. Li, “Decentralized fault tolerant control of modular manipulators system based on adaptive dynamic programming,” International Journal of Control, Automation and Systems, vol. 20, pp. 3252–3263, 2022, doi: 10.1007/s12555-021-0120-2.
G. R. Petrovic and J. Mattila, “Analytic Solutions for Wheeled Mobile ´ Manipulator Supporting Forces,” in IEEE Access, vol. 10, pp. 43235- 43255, 2022, doi: 10.1109/ACCESS.2022.3169766.
Huang, Qiang, Kazuo Tanie, and Shigeki Sugano. “Coordinated motion planning for a mobile manipulator considering stability and manipulation,” The International Journal of Robotics Research, vol. 19, no. 8, pp. 732-742, 2000, doi: 10.1177/02783640022067139.
N. Tan, Z. Zhu and P. Yu, “Neural-Network-Based Control of Wheeled Mobile Manipulators With Unknown Kinematic Models,” 2020 International Symposium on Autonomous Systems (ISAS), pp. 212-216, 2020, doi: 10.1109/ISAS49493.2020.9378850.
S. Liu et al., “Contact Force/Motion Hybrid Control for a Hydraulic Legged Mobile Manipulator via a Force-Controlled Floating Base,” in IEEE/ASME Transactions on Mechatronics, vol. 29, no. 3, pp. 2316-2326, 2024, doi: 10.1109/TMECH.2023.3323541.
C. W. Chang, C. W. Tao, “Design of a fuzzy trajectory tracking controller for a mobile manipulator system”, Soft Computing, vol. 28, pp. 5197–5211, 2024, doi: 10.1007/s00500-023-09298-z.
R. Ruchika, N. Kumar, “Force/position Control of Constrained Mobile Manipulators with Fast Terminal Sliding Mode Control and Neural Network,” Journal of Control, Automation and Electrical Systems, vol. 34, pp. 1145–1158, 2023, doi: 10.1007/s40313-023-01032-2.
J. Liao, F. Huang, Z. Chen, and B. Yao, “Optimization-based motion planning of mobile manipulator with high degree of kinematic redundancy,” International Journal of Intelligent Robotics and Applications, vol. 3, pp. 115-130, 2019, doi: 10.1007/s41315-019-00090-7.
Z. Li, L. Ma, Z. Meng, J. Zhang, and Y. Yin, “Improved sliding mode control for mobile manipulators based on an adaptive neural network,” Journal of Mechanical Science and Technology, vol. 37, no. 5, pp. 2569- 2580, 2023, doi: 10.1007/s12206-023-0432-7.
K. Misawa, F. Xu, K. Sekiguchi, and K. Nonaka, “Model predictive control for mobile manipulators considering the mobility range and accuracy of each mechanism,” Artificial Life and Robotics, vol. 27, no. 4, pp. 855-866, 2022, doi: 10.1007/s10015-022-00799-y.
M. Yu, X. Chen, Y. Qiu, C. Xing and P. Xu, “Nonlinear MPC based Whole-body Control for Mobile Manipulation,” 2024 36th Chinese Control and Decision Conference (CCDC), pp. 5273-5278, 2024, doi: 10.1109/CCDC62350.2024.10588007.
J. Bai, J. Du, T. Li, and Y. Chen, “Trajectory tracking control for wheeled mobile robots with kinematic parameter uncertainty,” International Journal of Control, Automation and Systems, vol. 20, no. 5, pp. 1632-1639, 2022, doi: 10.1007/s12555-021-0212-z.
D. P. Pagnotta, A. Monteriu, A. Freddi, S. Longhi, and A. Maciejewski, ` “Redundancy Resolution Scheme for Manipulators Subject to Inequality Constraints,” International Journal of Control, Automation and Systems, vol. 21, no. 2, pp. 575-590, 2023, doi: 10.1007/s12555-021-0641-8.
M. Rani, N. Kumar, and H. P. Singh, “Force/motion control of constrained mobile manipulators including actuator dynamics,” International Journal of Dynamics and Control, vol. 7, pp. 940–954, 2019, doi: 10.1007/s40435- 019-00523-y.
H. Xing, A. Torabi, L. Ding, H. Gao, Z. Deng and M. Tavakoli, “Enhancement of Force Exertion Capability of a Mobile Manipulator by Kinematic Reconfiguration,” in IEEE Robotics and Automation Letters, vol. 5, no. 4, pp. 5842-5849, 2020, doi: 10.1109/LRA.2020.3010218.
T. Watanabe, “Effect of torque-velocity relationship on manipulability for robot manipulators,” Journal Mechanisms Robotics, vol. 3, no. 4, pp. 1–9, 2011, doi: 10.1115/1.4004895.
K. Nagatani, T. Hirayama, A. Gofuku and Y. Tanaka, “Motion planning for mobile manipulator with keeping manipulability,” IEEE/RSJ International Conference on Intelligent Robots and Systems, vol. 2, pp. 1663- 1668, 2002, doi: 10.1109/IRDS.2002.1043994.
H. Bildstein, A. Durand-Petiteville and V. Cadenat, “Enhanced Visual Predictive Control Scheme for Mobile Manipulator,” 2023 European Conference on Mobile Robots (ECMR), pp. 1-7, 2023, doi: 10.1109/ECMR59166.2023.10256320.
V. Rayankula and P. M. Pathak, “Fault tolerant control and reconfiguration of mobile manipulator,” Journal of Intelligent and Robotic Systems, vol. 101, no. 34, 2021, doi: 10.1007/s10846-021-01317-1.
P. H. Chang, Analysis and control of robot manipulators with kinematic redundancy, MIT Artificial Intelligence Laboratory, 1987.
P. S. Donelan, “Singularities of robot manipulators,” Singularity Theory, pp. 189-217, 2007, doi: 10.1142/97898127074990006.
N. Chen, F. Song, G. Li, X. Sun, and C. Ai, “An adaptive sliding mode backstepping control for the mobile manipulator with nonholonomic constraints,” Communications in Nonlinear Science and Numerical Simulation, vol. 18, no. 10, pp. 2885-2899, 2013, doi: 10.1016/j.cnsns.2013.02.002.
F. Chen, M. Selvaggio and D. G. Caldwell, “Dexterous Grasping by Manipulability Selection for Mobile Manipulator With Visual Guidance,” in IEEE Transactions on Industrial Informatics, vol. 15, no. 2, pp. 1202- 1210, 2019, doi: 10.1109/TII.2018.2879426.
Y. Liu, Z. Li, H. Su, L. Jiang and C. -y. Su, “Whole Body Control of an Autonomous Mobile Manipulator Using Series Elastic Actuators,” in IEEE/ASME Transactions on Mechatronics, 2021, doi: 10.1109/TMECH.2021.3057098.
K. Jang, S. Kim and J. Park, “Motion Planning of Mobile Manipulator for Navigation Including Door Traversal,” in IEEE Robotics and Automation Letters, vol. 8, no. 7, pp. 4147-4154, 2023, doi: 10.1109/LRA.2023.3279612.
Y. Wan, J. Sun, C. Peers, J. Humphreys, D. Kanoulas and C. Zhou, “Performance and Usability Evaluation Scheme for Mobile Manipulator Teleoperation,” in IEEE Transactions on Human-Machine Systems, vol. 53, no. 5, pp. 844-854, 2023, doi: 10.1109/THMS.2023.3289628.
S. Thakar, P. Rajendran, A. M. Kabir and S. K. Gupta, “Manipulator Motion Planning for Part Pickup and Transport Operations From a Moving Base,” in IEEE Transactions on Automation Science and Engineering, vol. 19, no. 1, pp. 191-206, 2022, doi: 10.1109/TASE.2020.3020050.
J. Haviland and P. Corke, “A purely-reactive manipulability-maximising motion controller,” arXiv, 2002, doi: 10.48550/arXiv.2002.11901.
R. Fareh, M. R. Saad, M. Saad, A. Brahmi, and M. Bettayeb, “Trajectory tracking and stability analysis for mobile manipulators based on decentralized control,” Robotica, vol. 37, no. 10, pp. 1732-1749, 2019, doi: 10.1017/S0263574719000225.
Z. Li and S. S. Ge. Fundamentals in modeling and control of mobile manipulators, vol. 49, 2013.
T. Yoshikawa, “Manipulability of robotic mechanisms,” The international journal of Robotics Research, vol. 4, no. 2, pp. 3-9, 1985, doi:10.1177/027836498500400201.
N. Vahrenkamp, T. Asfour, G. Metta, G. Sandini and R. Dillmann, “Manipulability analysis,” 2012 12th IEEE-RAS International Conference on Humanoid Robots (Humanoids 2012), pp. 568-573, 2012, doi: 10.1109/HUMANOIDS.2012.6651576.
B. Bayle, J. -Y. Fourquet and M. Renaud, “Manipulability analysis for mobile manipulators,” Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164), vol.2, pp. 1251-1256, 2001, doi: 10.1109/ROBOT.2001.932782.
T. Yoshikawa, “Manipulability and redundancy control of robotic mechanisms,” Proceedings. 1985 IEEE International Conference on Robotics and Automation, pp. 1004-1009, 1985, doi: 10.1109/ROBOT.1985.1087283.
J. F. Gardner and S. A. Velinsky, “Kinematics of mobile manipulators and implications for design,” Journal of Robotic Systems, vol. 17, no. 6, pp. 309-320, 2000, doi: 10.1002/(SICI)1097-4563(200006)17:6¡309::AIDROB2¿3.0.CO;2-9.
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