On Energy-Optimal and Time-Optimal Precise Displacement of Rigid Body with Friction

作者: Ilya Ioslovich , Per-Olof Gutman , Ari Berger , Shai Moshenberg

DOI: 10.1007/S10957-016-0913-2

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摘要: Minimal time optimality and minimal energy are usually considered as competing approaches for the trajectory planning precise movement of a rigid body. Theoretical simulation results show that, with appropriate choice constraints, these equivalent in sense that they produce same trajectory. This is globally optimal both objectives. Constraints velocity, driving force jerk taken into account. The model includes Coulomb viscous friction. control solver was used numerical tool.

参考文章(25)
Michail I. Zelikin, Vladimir Borisov, Theory of Chattering Control Birkhäuser Boston. ,(1994) , 10.1007/978-1-4612-2702-1
V. F. Krotov, V. Z. Bukreev, V. I. Gurman, New variational methods in flight dynamics Israel Program for Scientific Translations. ,(1971)
Brian Armstrong-Helouvry, Pierre Dupont, Friction Modeling for Control american control conference. pp. 1905- 1909 ,(1993) , 10.23919/ACC.1993.4793209
Ari Berger, Ilya Ioslovich, Per-Olof Gutman, Time optimal trajectory planning with feedforward and friction compensation advances in computing and communications. pp. 4143- 4148 ,(2015) , 10.1109/ACC.2015.7171979
V. F. Krotov, Global Methods in Optimal Control Theory Advances in Nonlinear Dynamics and Control: A Report from Russia. pp. 74- 121 ,(1993) , 10.1007/978-1-4612-0349-0_3
Ilya Ioslovich, Shai Moshenberg, Per-Olof Gutman, On the energy-optimal precise wafer stage positioning: Equivalence with minimal time optimality international symposium on industrial electronics. pp. 95- 99 ,(2015) , 10.1109/ISIE.2015.7281450
A. Gasparetto, V. Zanotto, A new method for smooth trajectory planning of robot manipulators Mechanism and Machine Theory. ,vol. 42, pp. 455- 471 ,(2007) , 10.1016/J.MECHMACHTHEORY.2006.04.002
Richard F. Hartl, Suresh P. Sethi, Raymond G. Vickson, A Survey of the Maximum Principles for Optimal Control Problems with State Constraints SIAM Review. ,vol. 37, pp. 181- 218 ,(1995) , 10.1137/1037043