Optimal Polynomial Trajectories for Robot Manipulators
Abstract
The planning of optimal trajectories for manipulators along a given path is discussed. The problem is formulated as an optimal control problem. The trajectories for each joint are described by piecewise polynomials splined at prescribed knot points. This reduces the function-space optimization problem to a finite dimensional mathematical programming problem. The order of the polynomial strongly influences the final solution and both quadratic and cubic splines are discussed. Some simulation results are presented.
Recommended Citation
S. K. Singh and M. Leu, "Optimal Polynomial Trajectories for Robot Manipulators," Proceedings of the USA/Japan Symposium on Flexible Automation - Crossing Bridges: Advances in Flexible Automation and Robotics, American Society of Mechanical Engineers (ASME), Jan 1988.
Meeting Name
USA/Japan Symposium on Flexible Automation - Crossing Bridges: Advances in Flexible Automation and Robotics
Department(s)
Mechanical and Aerospace Engineering
Keywords and Phrases
Control Systems; Optimal; Kinematics - Mathematical Programming; Dynamic; Mathematical Tecniques-Polynomials; Robotics
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1988 American Society of Mechanical Engineers (ASME), All rights reserved.
Publication Date
01 Jan 1988