4 papers · 1 filter
Real-Time Optimal Control via Transformer Networks and Bernstein Polynomials
Gage MacLin, Venanzio Cichella, Andrew Patterson +1
In this paper, we propose a Transformer-based framework for approximating solutions to infinite-dimensional optimization problems: calculus of variations problems and optimal contr…
Solutions to Differential Algebraic Inequalities with Composite Bernstein Polynomials
Maxwell Hammond, Gage MacLin, Laurent Jay +1
The Bernstein polynomial basis sees significant use owing to its unique properties, particularly in the field of optimal control. However, the basis is known to have a slow rate of…
Optimal Control using Composite Bernstein Approximants
Gage MacLin, Venanzio Cichella, Andrew Patterson +2
In this work, we present composite Bernstein polynomials as a direct collocation method for approximating optimal control problems. An analysis of the convergence properties of com…
Scalable Optimal Motion Planning for Multi-Agent Systems by Cosserat Theory of Rods
Amirreza Fahim Golestaneh, Maxwell Hammond, Venanzio Cichella
We address the motion planning problem for large multi-agent systems, utilizing Cosserat rod theory to model the dynamic behavior of vehicle formations. The problem is formulated a…