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  Efficient and Reliable Numerical Solution of Dynamic Optimization

   Department of Automatic Control and Systems Engineering

  Dr Yuanbo Nie  Applications accepted all year round  Self-Funded PhD Students Only

About the Project

Dynamic optimization is integral to many aspects of science and engineering, commonly found in trajectory optimization, optimal control (e.g. model predictive control, MPC), state estimation, system identification and design synthesis problems. A key characteristic of dynamic optimization problems (DOPs) is that the decision variables can be functions or trajectories, leading to infinite-dimensional optimization problems that are often more challenging to solve.

This project will focus on the continued development of a new type of direct transcription method named the integrated residual methods. Instead of forcing the dynamic constraints to be satisfied only at a selected number of points as in the state-of-art method of direct collocation, the new approach focuses on minimizing and/or constraining the squared norm of the dynamic constraint residuals integrated along the solution trajectories, hence obtaining solutions with better properties in terms of accuracy, reliability, and constraint satisfaction. This new framework would also allow higher flexibility in managing the trade-offs between solution accuracy, optimality, and computational efficiency, to better adapt to the need of online implementations such as in MPC.

Upon the successful completion of this project, the PhD candidate will become an expert in addressing challenging DOPs arising from a wide range of engineering fields, including aerospace, automotive, robotics and mechatronics.

Engineering (12) Mathematics (25)

Funding Notes

This is a self-funded research project.
We require applicants to have either an undergraduate honours degree (1st) or MSc (Merit or Distinction) in a relevant science or engineering subject from a reputable institution.
Full details of how to apply can be found at the following link:
View Website
Applicants can apply for a Scholarship from the University of Sheffield but should note that competition for these Scholarships is highly competitive: View Website

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