Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-22T11:17:13.020Z Has data issue: false hasContentIssue false

Optimization design for a jumping leg robot based on generalized inertia ellipsoid

Published online by Cambridge University Press:  27 February 2012

Jianjun Yao*
Affiliation:
College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China
Qi Yang
Affiliation:
Institute of Structural Mechanics, CAEP, Mianyang 621900, China
Shuang Gao
Affiliation:
College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China
Shenghai Hu
Affiliation:
College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China
*
*Corresponding author. E-mail: [email protected]

Summary

The isotropy of the generalized inertia ellipsoid is an evaluation index that can measure dynamic performance of a robot. This has significance in motion planning and design of a jumping robot. The generalized inertia of a jumping robot is analyzed. The generalized inertia tensor and the generalized inertia ellipsoid (GIE) are derived from the kinetic energy of the robot mechanism. From the viewpoint of geometrical shape change of the GIE, nonlinear characteristics of a jumping robot are analyzed. With the goal of minimizing nonlinear effects during its movement, the mechanism parameters of a jumping robot are optimized by adopting isotropy of the generalized inertia ellipsoid as its objective function. Example results demonstrate the efficiency and validity of the proposed optimization method.

Type
Articles
Copyright
Copyright © Cambridge University Press 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Ji, A. H., Dai, Z. D. and Zhou, L. S., “Research development of bio-inspired robotics,” Robot 27 (3), 284288 (2005).Google Scholar
2. Yong, C., “Jumping Robot Based on the Kinematics Performance of Locust,” In: Proceedings of the 2nd International Conference on Industrial Mechatronics and Automation (ICIMA), Wuhan, China (May. 30–31, 2010) pp. 3336.Google Scholar
3. Kovac, M., Schlegel, M., Zufferey, J. C. and Floreano, D., “A Miniature Jumping Robot with Self-Recovery Capabilities,” In: Proceeding s of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), St. Louis, MO, USA (Oct. 11–15, 2009) pp. 583588.Google Scholar
4. Kim, D. H., Lee, J. H., Kim, I., Noh, S. H. and Oho, S. K., “Mechanism, control, and visual management of a jumping robot,” Mechatronics 18 (10), 591600 (2008).CrossRefGoogle Scholar
5. Kovac, M., Fuchs, M., Guignard, A., Zufferey, J. C. and Floreano, D., “A Miniature 7G Jumping Robot,” In: Proceedings of IEEE International Conference on Robotics and Automation (ICRA), Pasadena, CA, USA (May 19–23, 2008) pp. 373378.Google Scholar
6. Yamakita, M., Omagari, Y. and Taniguchi, Y., “Jumping cat robot with kicking a wall,” J. Robot. Soc. Japan 26 (3), 934938 (1994).Google Scholar
7. Arikawa, K. and Mita, T., “Design of Multi-DOF Jumping Robot,” In: Proceedings of IEEE International Conference on Robotics and Automation (ICRA), Washington, DC, USA (May 11–15, 2002) pp. 39923997.Google Scholar
8. Hyon, S. H., Yokoyama, N. and Takashi, E., “Back Handspring Robot-Target Dynamics-Based Control,” In: Proceedings of 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Sendai, Japan (Sep. 28–Oct. 2, 2004) pp. 248253.Google Scholar
9. Matthew, C. B., Roger, D. Q., Geon, H., Phillips, S. M., Drennan, B., Fife, A., Verma, H. and Beer, R. D., “Design of a Cricket Microrobot,” In: Proceedings of the 2000 IEEE International Conference on Robotics & Automation (ICRA), San Francisco, CA, USA (Apr. 24–28, 2000) pp. 11091114.Google Scholar
10. Laksanacharoen, S., Pollack, A. J., Nelson, G. M., Quinn, R. D. and Ritzmann, R. E., “Biomechanics and Simulation of Cricket for Microrobot Design,” In: Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), San Francisco, CA, USA (Apr. 24–28, 2000) pp. 10881094.Google Scholar
11. Hyon, S. H. and Mita, T., “Development of a Biologically Inspired Hopping Robot-‘Kenken,’” In: Proceedings of the 2002 IEEE International Conference on Robotics Automation (ICRA), Washington, DC, USA (May 11–15, 2002) pp. 39843991.Google Scholar
12. Niiyama, R., Nagakubo, A. and Kuniyoshi, Y., “A Bipedal Jumping and Landing Robot with an Artificial Musculoskeletal System,” In: Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Rome, Italy (Apr. 10–14, 2007) pp. 25462551.Google Scholar
13. Wong, H. C. and Orin, D. E., “Dynamic Control of a Quadruped Standing Jump,” In: Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Atlanta, GA, USA (May 2–6, 1993) pp. 346351.Google Scholar
14. Yang, Y. P., Geng, T. and Guo, Y., “Structure and trajectory planning of a novel flipping robot,” J. Shanghai Jiaotong Univ. 7 (7), 11101113 (2003).Google Scholar
15. He, G. P., Tan, X. L. and Zhang, X. H., “Vertical hopping control of elastic one-legged Robot with two actuated arms,” Chin. J. Mech. Eng. 43 (5), 4449 (2007).CrossRefGoogle Scholar
16. Ma, L. E., Ge, W. J. and Huang, Z. B., “Positive kinematics analysis on bionic kangaroo-hopping robot,” J. Mach. Des. 22 (3), 2830 (2005).Google Scholar
17. Asada, H., “A geometrical representation of manipulator dynamics and its application to arm design,” J. Dyn. Syst. Meas. Control 9 (105), 131142 (1983).CrossRefGoogle Scholar
18. Xu, Z. H., Lv, T. S., Wang, X. Y. and Liu, J., “Motion optimization for jumping robot based on inertia matching manipulability,” J. Shanghai Jiaotong Univ. 42 (7), 11541158 (2008).Google Scholar
19. Mayorga, R. V., Carrera, J. and Oritz, M. M., “A kinematics performance index based on the rate of change of a standard isotropy condition for robot design optimization,” Robot. Auton. Syst. 53, 153163 (2005).CrossRefGoogle Scholar
20. Khatib, O. and Bowling, A., “Optimization of the Inertial and Acceleration Characteristics of Manipulators,” In: Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Minneapolis, MN, USA (Apr. 22–28, 1996) pp. 28832889.CrossRefGoogle Scholar
21. Khatib, O. and Burdick, J., “Optimization of dynamics in manipulator design: The operational space formulation,” Int. J. Robot. Autom. 2 (2), 9098 (1987).Google Scholar