Title :
Singular control methods for the Coulomb friction brachistochrone
Author :
Lipp, Stephen C.
Author_Institution :
Dept. of Mech. Eng., New Orleans Univ., LA, USA
Abstract :
This paper finds the minimum-time path of a particle between two points in a uniform gravitational field when motion of the particle is resisted by a force proportional to the normal force exerted on the particle by the path. The problem solution utilizes singular control methods
Keywords :
friction; singular optimal control; Coulomb friction brachistochrone; minimum-time path; singular control methods; uniform gravitational field; Closed-form solution; Computer numerical control; Equations; Friction; Geometry; Mechanical engineering; Optimal control; Polynomials; Shape; Wire;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.572774
