Date of Award


Degree Name

Master of Science



First Advisor

Melinda Koelling, Ph.D.

Second Advisor

Zachary D. Asher, Ph.D.

Third Advisor

Jim Zhu, Ph.D.


Best constraints in a spline, control, eco-driving, optimization

Access Setting

Masters Thesis-Open Access


Eco-Driving is a critical technology for improving automotive transportation efficiency. It is achieved by modifying the driving trajectory over a particular route to minimize required propulsion energy. Eco-Driving can be approached as an optimal control problem subject to driving constraints such as traffic lights and positions of other vehicles. Best interpolation in a strip is a problem in approximation theory and optimal control. The solution to this problem is a cubic spline. In this research we demonstrate the connection between Eco-Driving and best interpolation in the strip. By exploiting this connection, we are able to generate optimal Eco-Driving trajectories that could be driven with an autonomous system. Using the simulation tool FASTSim, we can evaluate the trajectories using conventional, hybrid electric, and fully electric vehicle models. Our results quantify the energy efficiency improvements that can be achieved with the proposed approach.

Included in

Mathematics Commons