13 citations · 43 across the 11 of their papers we have counts for
11 papers
Reliable Solution to Dynamic Optimization Problems using Integrated Residual Regularized Direct Collocation
Yuanbo Nie, Eric C. Kerrigan
Direct collocation is a widely used method for solving dynamic optimization problems (DOPs), but its implementation simplicity and computational efficiency are limited for challeng…
Tracking-in-range Formulations for Numerical Optimal Control
Nikilesh Ramesh, Eric C. Kerrigan, Yuanbo Nie
In contrast to set-point tracking which aims to reduce the tracking error between the tracker and the reference, tracking-in-range problems only focus on whether the tracker is wit…
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…
Joint Optimization of Transmission and Propulsion in UAV-Assisted Communication Networks
Omar J. Faqir, Eric C. Kerrigan, Deniz Gündüz +1
The communication energy in a wireless network of mobile autonomous agents should be defined to include the propulsion energy as well as the transmission energy used to facilitate…
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…
External Constraint Handling for Solving Optimal Control Problems with Simultaneous Approaches and Interior Point Methods
Yuanbo Nie, Eric C. Kerrigan
Inactive constraints do not contribute to the solution of an optimal control problem, but increase the problem size and burden the numerical computations. We present a novel strate…
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…