Stabilization of the position of a Lagrangian system with elastic elements and bounded control, with and without measurement of velocities

Journal of Applied Mathematics and Mechanics

Volumn 61, Issue 3, 1997, Pages 433-441

  Burkov, I V ^a   Freidovich, L B ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031284070     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(97)00055-5     Document Type: Article

References (16)

1. SPONG, M. W., Modelling and control of elastic joints robots. Trans. ASME J. Dynam. Syst. Measurements and Control., 1987, 109, 310-319.
2. BURKOV, I. V. and ZAREMBA, A. T., Dynamics of an elastic manipulator with electrodrive. Izv. Akad. Nauk SSSR. MTT, 1987, 1, 57-64.
3. SLOTINE, J.-J. and LI, W., On the adaptive control of robot manipulators. Int. J. Robot Res., 1987, 6, 3, 49-59. Adaptive manipulator control: a case study. IEEE Trans. Automat. and Control., 1988, 33, 11, 995-1003.
4. SLOTINE, J.-J. and LI, W., On the adaptive control of robot manipulators. Int. J. Robot Res., 1987, 6, 3, 49-59. Adaptive manipulator control: a case study. IEEE Trans. Automat. and Control., 1988, 33, 11, 995-1003.
5. TOMEI, P., A simple PD controller for robots with elastic joints. IEEE Trans. Automat. and Control., 1991, 36, 10, 1208-1213.
6. AILON, A. and ORTEGA, R., An observer-based set-point controller for robot-manipulators with flexible joints. Syst. Control. Lett., 1993, 21, 4, 329-335.
7. ARIMOTO, S., Fundamental problems of robot control, Part 2. Robotica, 1995, 13, 2, 111-122.
8. DUNSKAYA, N. V. and PYATNITSKII, E. S., Stabilization of controlled mechanical and electromechanical systems. Avtorn. Telemekh., 1988, 12, 40-51.
9. BERGHUIS, H. and NIJMEIJER, H., Global regulation of robots using only position measurements. Syst. Contr., 1993, 21, 4, 289-293.
10. BURKOV, I. V., Asymptotic stabilization of nonlinear Lagrangian systems without measuring velocities. In Jézéquel L. (ed.), Active Control in Mechanical Engineering. Pric. Int. Symp. (Lyon, France 1993), Vol 2. Association MV2, Lyon. Reprinted by Hèrmes, Paris, 1995, pp. 440-448.
11. KELLY, R., ORTEGA, R., AILON, A. and LORIA, A., Global regulation of flexible joints robots using approximate differentiation. IEEE Trans. Automat. Contr., 1994, 39, 6, 1222-1224.
12. BURKOV, I. V., Stabilization of mechanical systems via bounded control and without velocity measurement. In Second Russian-Swedish Control Conference (St Petersburg, Russia, August 29-31, 1995). St Petersburg technical University, St Petersburg, 1995, pp. 37-41.
13. RUMYANTSEV, V. V., The stability of motion with respect to part of the variables. Vestnik Mosk. Gos. Univ., Ser. Mat. Mekh. Fiz. Astron. Khimii, 1957, 4, 9-16.
14. POZHARITSKII, G. K., On asymptotic stability of equilibria and steady motions of mechanical system with partial dissipation. Prikl. Mat. Mekh., 1961, 25, 4, 657-667.
15. ZUBOV, V. I., Dynamics of Controlled Systems. Vysshaya Shkola, Moscow, 1982.
16. KARAPETYAN, A. V. and RUMYANTSEV, V. V., Stability of conservative and dissipative systems. In Advances in Science and Technology. Ser. General Mechanics, Vol. 6. Vsesoyuzh. Inst. Nauchn. Tekhn. Inform., Moscow, 1983, pp. 3-128.