Kinematic control of free rigid bodies using dual quaternions

International Journal of Automation and Computing

Volumn 5, Issue 3, 2008, Pages 319-324

  Han, Da Peng ^a   Wei, Qing ^a   Li, Ze Xiang ^b  

^a NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY   (China)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Dual quaternion; Kinematic control; Omnidirectional control; Proportional control

Indexed keywords

ALGEBRA; ARSENIC COMPOUNDS; DIFFERENTIAL EQUATIONS; KINEMATICS; LYAPUNOV FUNCTIONS; NEURAL NETWORKS;

CASE STUDIES; CHINESE ACADEMY OF SCIENCES (CAS); CONTROL LAWS; CONVENTIONAL METHODS; DUAL QUATERNIONS; GLOBAL EXPONENTIAL CONVERGENCE; KINEMATIC CONTROL; LYAPUNOV; OMNIDIRECTIONAL CONTROL; PROPORTIONAL CONTROL; RIGID BODY (RB); TRACKING PROBLEMS;

LAWS AND LEGISLATION;

EID: 47249114037     PISSN: 14768186     EISSN: 17518520     Source Type: Journal    
DOI: 10.1007/s11633-008-0319-1     Document Type: Article

References (12)

1. A. Perez, J. M. McCarthy. Dual Quaternion Synthesis of Constrained Robotic Systems. Journal of Mechanical Design, vol. 126, no. 3, pp. 425-435, 2004.
2. Q. J. Ge, B. Ravani. Computer Aided Geometric Design of Motion Interpolants. Journal of Mechanical Design, vol. 116, no.3, pp. 756-762, 1994.
3. Y. X. Wu, X. P. Hu, D. W. Hu, T. Li, J. X. Lian. Strapdown Inertial Navigation System Algorithms Based on Dual Quaternions. IEEE Transactions on Aerospace and Electronic Systems, vol. 41, no. 1, pp. 110-132, 2005.
4. L. M. Hsia, A. T. Yang. On the Principle of Transference in Three-dimensional Kinematics. ASME Journal of Mechnical Design, vol. 103, no. 3, pp. 652-656, 1981.
5. R. M. Murray, Z. X. Li, S. S. Sastry. An Mathematical Introduction to Robotic Manipulation, CRC Press, 1994.
6. F. Bullo, R. M. Murray. Proportional Derivative (PD) Control on the Euclidean Group, Technical Report CIT-CDS-95-010, California Institute of Technology, USA, 1995.
7. O. Bottema, B. Roth. Theoretical Kinematics, North-Holland Publishing Company, New York, USA, 1979.
8. M. J. Kim, M. S. Kim, S. Y. Shin. A Compact Differential Formula for the First Derivative of a Unit Quaternion Curve. Journal of Visualization and Computer Animation, vol. 7, no. 1, pp. 43-57, 1996.
9. F. Bullo, R. Murray, A. Sarti. Control on the Sphere and Reduced Attitude Stabilization, Technical Report CITCDS-95-005, California Institute of Technology, USA, 1995.
10. P. Arambel, V. Manikonda. A New Class of Control Laws for Spacecraft Attitude Tracking Using Switching and Trajectory Rescaling. In Proceedings of IEEE International Conference on Robotics and Automation, IEEE Press, San Francisco, CA, USA, pp. 4033-4038, 2000.
11. H. Asama, M. Sato, L. Bogoni, H. Kaetsu, A. Mitsumoto, et al. Development of an Omni-drectional Mobile Robot with 3 DOF Decoupling Drive Mechanism. In Proceedings of IEEE International Conference on Robotics and Automation, IEEE Press, Nagoya, Aichi, Japan, pp. 1925-1390, 1995.
12. T. Kalmár-Nagy, R. D'Andrea, P. Ganguly. Near-optimal Dynamic Trajectory Generation and Control. Robotics and Autonomous Systems, vol. 46, no. 1, pp. 47-64, 2004.