37 citations · 56 across the 5 of their papers we have counts for
5 papers
Unscented Trajectory Optimization
I. M. Ross, R. J. Proulx, M. Karpenko
In a nutshell, unscented trajectory optimization is the generation of optimal trajectories through the use of an unscented transform. Although unscented trajectory optimization was…
Implementations of the Universal Birkhoff Theory for Fast Trajectory Optimization
R. J. Proulx, I. M. Ross
This is part II of a two-part paper. Part I presented a universal Birkhoff theory for fast and accurate trajectory optimization. The theory rested on two main hypotheses. In this p…
An Optimal Control Theory for the Traveling Salesman Problem and Its Variants
I. M. Ross, R. J. Proulx, M. Karpenko
We show that the traveling salesman problem (TSP) and its many variants may be modeled as functional optimization problems over a graph. In this formulation, all vertices and arcs…
Fast Mesh Refinement in Pseudospectral Optimal Control
N. Koeppen, I. M. Ross, L. C. Wilcox +1
Mesh refinement in pseudospectral (PS) optimal control is embarrassingly easy --- simply increase the order of the Lagrange interpolating polynomial and the mathematics of conv…
Scaling and Balancing for High-Performance Computation of Optimal Controls
I. M. Ross, Q. Gong, M. Karpenko +1
It is well-known that proper scaling can increase the efficiency of computational problems. In this paper we define and show that a balancing technique can substantially improve th…