5 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…
Coordinated Path Following of UAVs using Event-Triggered Communication over Networks with Digraph Topologies
Hyungsoo Kang, Isaac Kaminer, Venanzio Cichella +1
This article presents a novel time-coordination algorithm based on event-triggered communication to ensure multiple UAVs progress along their desired paths in coordination with one…
Quasi-Static Continuum Model of Octopus-Like Soft Robot Arm Under Water Actuated by Twisted and Coiled Artificial Muscles (TCAMs)
Amirreza Fahim Golestaneh, Venanzio Cichella, Caterina Lamuta
The current work is a qualitative study that aims to explore the implementation of Twisted and Coiled Artificial Muscles (TCAMs) for actuating and replicating the bending motion of…