1 research outputs found
Mesh Refinement Method for Solving Optimal Control Problems with Nonsmooth Solutions Using Jump Function Approximations
A mesh refinement method is described for solving optimal control problems
using Legendre-Gauss-Radau collocation. The method detects discontinuities in
the control solution by employing an edge detection scheme based on jump
function approximations. When discontinuities are identified, the mesh is
refined with a targeted -refinement approach whereby the discontinuity
locations are bracketed with mesh points. The remaining smooth portions of the
mesh are refined using previously developed techniques. The method is
demonstrated on two examples, and results indicate that the method solves
optimal control problems with discontinuous control solutions using fewer mesh
refinement iterations and less computation time when compared with previously
developed methods.Comment: 22 Pages, 8 Figures, 0 Table