2 citations · 2 across the 6 of their papers we have counts for
6 papers
Solving Geodesic Equations with Composite Bernstein Polynomials for Trajectory Planning
Nick Gorman, Gage MacLin, Maxwell Hammond +1
This work presents a trajectory planning method based on composite Bernstein polynomials for autonomous systems navigating complex environments. The method is implemented in a symb…
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…
Autopilot System for Depth and Pitch Control in Underwater Vehicles: Navigating Near-Surface Waves and Disturbances
Vladimir Petrov, Gage MacLin, Venanzio Cichella
This paper introduces a framework for depth and pitch control of underwater vehicles in near-surface wave conditions. By effectively managing tail, sail plane angles and hover tank…
Modeling, Simulation, and Maneuvering Control of a Generic Submarine
Gage MacLin, Maxwell Hammond, Venanzio Cichella +1
This work introduces two multi-level control strategies to address the problem of guidance and control of underwater vehicles. An outer-loop path-following algorithm and an outer-l…