Two Proofs on Max-Min-Max Principle of Jerk Control in Time-Optimal Rectilinear Motion

Author:

Li Hongbo,Zhang Lixian

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference7 articles.

1. Bobrow J., Dubowsky S., Gibson J.: Time-optimal control of robotic manipulators along specified paths. Int. J. Robot. Res. 4(3), 3–17 (1985)

2. LaSalle, J. The time optimal control problem. In: Cesari, L. et al. (eds.) Contributions to the Theory of Nonlinear Oscillations, vol 5. Princeton University Press, Princeton (1960).

3. Pfeiffer F., Johanni R.: A concept for manipulator trajectory. IEEE J. Robotics Autom 3(2), 115–123 (1987)

4. Boyadjieff C., Farouki R., Sebastian D. et al.: Smoothing of time-optimal feedrates for Cartesian CNC machines. In: Martin, R. (ed.) Mathematics of Surfaces 2005, LNCS 3604, pp. 84–101. Springer, Berlin/Heidelberg (2005)

5. Sebastian D., Farouki R.: Time-optimal traversal of curved paths by Cartesian CNC machines under both constant and speed-dependent axis acceleration bounds. Robotics Comput. Integr. Manuf. 23, 563–579 (2007)

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