13 citations · 43 across the 11 of their papers we have counts for
7 papers · 1 filter
Solving optimal control problems with non-smooth solutions using an integrated residual method and flexible mesh
Lucian Nita, Eric C. Kerrigan, Eduardo M. G. Vila +1
Solutions to optimal control problems can be discontinuous, even if all the functionals defining the problem are smooth. This can cause difficulties when numerically computing solu…
Fast and accurate method for computing non-smooth solutions to constrained control problems
Lucian Nita, Eduardo M. G. Vila, Marta A. Zagorowska +4
Introducing flexibility in the time-discretisation mesh can improve convergence and computational time when solving differential equations numerically, particularly when the soluti…
Towards a Framework for Nonlinear Predictive Control using Derivative-Free Optimization
Ian McInerney, Lucian Nita, Yuanbo Nie +2
The use of derivative-based solvers to compute solutions to optimal control problems with non-differentiable cost or dynamics often requires reformulations or relaxations that comp…
Direct Transcription for Dynamic Optimization: A Tutorial with a Case Study on Dual-Patient Ventilation During the COVID-19 Pandemic
Eric C. Kerrigan, Yuanbo Nie, Omar Faqir +5
A variety of optimal control, estimation, system identification and design problems can be formulated as functional optimization problems with differential equality and inequality…
Solving Dynamic Optimization Problems to a Specified Accuracy: An Alternating Approach using Integrated Residuals
Yuanbo Nie, Eric C. Kerrigan
We propose a novel direct transcription and solution method for solving nonlinear, continuous-time dynamic optimization problems. Instead of forcing the dynamic constraints to be s…
Efficient Implementation of Rate Constraints for Nonlinear Optimal Control
Yuanbo Nie, Eric Kerrigan
We propose a general approach to directly implement rate constraints on the discretization mesh for all collocation methods, for both state and input variables. Unlike conventional…
Efficient and More Accurate Representation of Solution Trajectories in Numerical Optimal Control
Yuanbo Nie, Eric C. Kerrigan
We show via examples that, when solving optimal control problems, representing the optimal state and input trajectory directly using interpolation schemes may not be the best choic…