A projection method for the elimination of contradicting control forces in redundantly actuated PKM

作者: Andreas Muller , Timo Hufnagel

DOI: 10.1109/ICRA.2011.5979721

关键词: SetpointProjection methodControl theoryKinematicsEngineeringEncoderStability (probability)Stability theoryDecentralised systemExponential stability

摘要: While redundantly actuated PKM(RA-PKM) possess desirable kinematic and dynamic properties, their control is impeded by the occurrence of antagonistic forces. Such forces are observed in non-linear model-based as well decentralized schemes. In this paper it outlined that such inherent to RA-PKM, also calibration errors finite encoder resolutions cause excited vibrations, hence energy loss instabilities. The effect measurement stability individual PD computed torque analyzed. They shown yield asymptotically stable setpoint control. A central result a projection method for elimination contradicting commands. This valid independently actual scheme. Experimental results presented 2RRR/RR implementation. confirm proposed scheme reduces up model uncertainties.

参考文章(11)
B.-J. Yi, R.A. Freeman, D. Tesar, Open-loop stiffness control of overconstrained mechanisms/robotic linkage systems international conference on robotics and automation. pp. 1340- 1345 ,(1989) , 10.1109/ROBOT.1989.100166
Yaoxin Zhang, Shuang Cong, Zexiang Li, Shilong Jiang, Auto-calibration of a redundant parallel manipulator based on the projected tracking error Archive of Applied Mechanics. ,vol. 77, pp. 697- 706 ,(2007) , 10.1007/S00419-007-0127-Z
Michael ValÁšek, VÁclav Bauma, Zbyněk šika, Květoslav Belda, Pavel PÍša, Design-by-Optimization and Control of Redundantly Actuated Parallel Kinematics Sliding Star Multibody System Dynamics. ,vol. 14, pp. 251- 267 ,(2005) , 10.1007/S11044-005-2278-4
Flavien Paccot, Nicolas Andreff, Philippe Martinet, A Review on the Dynamic Control of Parallel Kinematic Machines: Theory and Experiments The International Journal of Robotics Research. ,vol. 28, pp. 395- 416 ,(2009) , 10.1177/0278364908096236
Hui Cheng, Yiu-Kuen Yiu, Zexiang Li, Dynamics and control of redundantly actuated parallel manipulators IEEE-ASME Transactions on Mechatronics. ,vol. 8, pp. 483- 491 ,(2003) , 10.1109/TMECH.2003.820006
A. Muller, Stiffness control of redundantly actuated parallel manipulators international conference on robotics and automation. pp. 1153- 1158 ,(2006) , 10.1109/ROBOT.2006.1641865
Liping Wang, Jun Wu, Jinsong Wang, Zheng You, An Experimental Study of a Redundantly Actuated Parallel Manipulator for a 5-DOF Hybrid Machine Tool IEEE-ASME Transactions on Mechatronics. ,vol. 14, pp. 72- 81 ,(2009) , 10.1109/TMECH.2008.2008096
Trung Do Thanh, Jens Kotlarski, Bodo Heimann, Tobias Ortmaier, On the inverse dynamics problem of general parallel robots international conference on mechatronics. pp. 1- 6 ,(2009) , 10.1109/ICMECH.2009.4957202
J A Saglia, N G Tsagarakis, J S Dai, D G Caldwell, Inverse-kinematics-based control of a redundantly actuated platform for rehabilitation Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering. ,vol. 223, pp. 53- 70 ,(2009) , 10.1243/09596518JSCE622