Numerical Aspects and Performances of Trajectory Planning Methods of Flexible Axes
Keywords:
Flexible axes, Vibrations, bang-bang laws, Input shapers, Motion PlanningAbstract
Adequate Path Planning design is an important stage for controlling flexible axes because it may allow to cancel vibrations induced by oscillating modes. Among bang-bang profiles which are linked to optimal control, jerk assignment (acceleration derivative) and input shapers have been investigated. Theoretical results show the performance and robustness with respect to natural frequency mismatch. Practical validations on a real robot arm show the relevance of the jerk algorithm which is more robust with the same productivity performances as input shaping techniques.References
Béarée, R., Barre P.J., Bloch S., Influence of high feed rate machine tool control parameters on the contouring accuracy, J. Intell. Robotic Systems, Vol. 40, 2004, pp 321-342. http://dx.doi.org/10.1023/B:JINT.0000039013.70093.29
Barre P.-J., Bearee R., Borne P., Dumetz, E., Influence of a Jerk Controlled Movement Law on the Vibratory Behaviour of High-Dynamics Systems, J. of Intell. Robot. Systems, Vol. 42, 2005, 275- 293. http://dx.doi.org/10.1007/s10846-004-4002-7
Fliess M., Lévine J., Martin P., Rouchon, P., Flatness and defect of nonlinear systems: Introductory theory and applications, Int. J. Control, Vol. 61, 1995, pp 1327-1361. http://dx.doi.org/10.1080/00207179508921959
Singer N., Seering W., Preshaping command inputs to reduce system vibration, J. Dynam. Syst., Meas. Contr., Vol. 112, 1990, pp 76-82. http://dx.doi.org/10.1115/1.2894142
Meckl P. H., Seering W. P., Experimental evaluation of shaped inputs to reduce vibration of a cartesian robot, J. of Dyn. Systems, Meas. Control, Vol. 112, 1990, pp 159-165. http://dx.doi.org/10.1115/1.2896122
Peláez G., Gu. Pelaez, J.M. Perez, A. Vizán, E. Bautista, Input shaping reference commands for trajectory following Cartesian machines, Control Eng. Practice, Vol. 13, 2005, pp 941-958. http://dx.doi.org/10.1016/j.conengprac.2004.09.011
Singhose W., Singer N., Seering W., Time-optimal negative input shapers, J. Dynam. Syst., Meas., Contr., Vol. 119, 1997, pp. 198-205.
Lau M. A., Pao, L. Y., Input shaping and time-optimal control of flexible structures, Automatica, Vol. 39, 2003, pp 893-900. http://dx.doi.org/10.1016/S0005-1098(03)00024-4
Singhose W. E., Derezinski S. J., Singer N. C., Extra insensitive input shaper for controlling flexible spacecraft, J. Guidance Control Dynamics, Vol. 19, 1996, pp 385-391. http://dx.doi.org/10.2514/3.21630
Dumetz E., Dieulot J.Y., Barre P.J., Colas F., Control of an Industrial Robot using Acceleration Feedback, J. Intell Robotic Systems, Vol. 46, 2006, pp 111-128. http://dx.doi.org/10.1007/s10846-006-9042-8
Md Zain M.Z., Tokhi M.O., Mohamed Z., Hybrid learning control schemes with input shaping of a flexible manipulator system, Mechatronics, Vol. 16, 2006, 209-219. http://dx.doi.org/10.1016/j.mechatronics.2005.11.004
Cutforth, C. F., Pao L. Y., Adaptive input shaping for maneuvering flexible structures, Automatica, Vol. 40, 2004, pp 685-693. http://dx.doi.org/10.1016/j.automatica.2003.11.013
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