English

Quasivelocities and Optimal Control for Underactuated Mechanical Systems

Mathematical Physics 2015-05-18 v1 math.MP

Abstract

This paper is concerned with the application of the theory of quasivelocities for optimal control for underactuated mechanical systems. Using this theory, we convert the original problem in a variational second-order lagrangian system subjected to constraints. The equations of motion are geometrically derived using an adaptation of the classical Skinner and Rusk formalism.

Keywords

Cite

@article{arxiv.1003.1013,
  title  = {Quasivelocities and Optimal Control for Underactuated Mechanical Systems},
  author = {L. Colombo and D. Martin de Diego},
  journal= {arXiv preprint arXiv:1003.1013},
  year   = {2015}
}

Comments

8 pages

R2 v1 2026-06-21T14:53:45.216Z