371 citations · 427 across the 6 of their papers we have counts for
6 papers
A Review of Pseudospectral Optimal Control: From Theory to Flight
I. M. Ross, M. Karpenko
The home space for optimal control is a Sobolev space. The home space for pseudospectral theory is also a Sobolev space. It thus seems natural to combine pseudospectral theory with…
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…
Waypoint Following Dynamics of a Quaternion Error Feedback Attitude Control System
Mark Karpenko, Julie K. Halverson, Rebecca Besser
Closed-loop attitude steering can be used to implement a non-standard attitude maneuver by using a conventional attitude control system to track a non-standard attitude profile. Th…
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…
A Pseudospectral Approach to High Index DAE Optimal Control Problems
Harleigh C. Marsh, Mark Karpenko, Qi Gong
Historically, solving optimal control problems with high index differential algebraic equations (DAEs) has been considered extremely hard. Computational experience with Runge-Kutta…
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…