Inverse dynamics of servo-constraints based on the generalized inverse

Nonlinear Dynamics

Volumn 39, Issue 1-2, 2005, Pages 179-196

  Bajodah, Abdulrahman H ^a   Hodges, Dewey H ^b   Chen, Ye Hwa ^c  

^a KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^b Georgia Institute of Technology   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Generalized inverse; Kane's equations; Redundancy resolution; Servo constraints; Spacecraft stabilization

Indexed keywords

CONSTRAINT THEORY; CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; SERVOMECHANISMS;

GENERALIZED INVERSE; KANE'S EQUATIONS; REDUCNDANCY RESOLUTION; SERVO-CONSTRAINTS; SPACECRAFT STABILIZATION;

DYNAMICS;

EID: 17444402886     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-1925-x     Document Type: Article

References (13)

1. Blajer, W., 'Dynamics and control of mechanical systems in partly specified motion', Journal of the Franklin Institute-Engineering and Applied Mechanics 334B(3), 1997, 407-426.
2. Jarzebowska, E., 'On derivation of motion equations for systems with non-holonomic high-order program constraints', Multibody System Dynamics 7, 2002, 307-329.
3. Beghin, H., Course de mécanique, 1947.
4. Kirgetov, V. I., 'The motion of controlled mechanical systems with prescribed constraints (servoconstraints)', Journal of Applied Mathematics and Mechanics 31, 1967, 465-477.
5. Cabannes, H., General Mechanics, Blaisdell, New York, 1968.
6. Bajodah, A. H., Hodges, D. H., and Chen, Y. H., 'New form of Kane's equations of motion for constrained systems'. Journal of Guidance, Control, and Dynamics 26(1), 2003, 79-88.
7. Bajodah, A. H., Hodges, D. H., and Chen, Y. H., 'Nonminimal Kane's equations of motion for nonlinearly constrained multibody dynamical systems', Multibody System Dynamics, to appear.
8. Bruyninckx, H. and Khatib, O., 'Gauss' principle and the dynamics of redundant and constrained manipulators', in Proceedings of IEEE International Conference on Robotics & Automation, San Francisco, California, 2000.
9. Kazerounian, K. and Nedungadi, A., 'Redundancy resolution of serial manipulators based on robot dynamics', Mechanism and Machine Theory 23(4), 1988, 295-303.
10. Khatib, O., 'Augmented object and reduced effective inertia in robot systems', in Proceedings of the American Control Conference, Atlanta, Georgia, 1988, pp. 2140-2147.
11. Sadegh, N., 'Optimal kinematic control of constrained and redundant manipulators', in Proceedings of the 31st Conference on Decision and Control, Tucson, Arizona, 1992, pp. 620-625.
12. Kalaba, R. and Xu, R., 'On the exact control of mechanical systems', Journal of Optimzation Theory and Applications 87(2), 1995, 349-357.
13. Udwadia, F. E. and Kalaba, R. E., Analytical Dynamics, A New Approach, Cambridge University Press, New York, 1996.