Dynamic Optimization of Nonsmooth Systems
Prof. Peter Stechlinski, Department of Mathematics and Statistics, University of Maine
Wednesday, October 18
3:30-4:20pm
Hill Auditorium, Barrows Hall
Snacks at 3:15pm
Abstract: A variety of engineering problems require dynamic simulation and optimization, but exhibit a mixture of continuous and discrete behavior. Such hybrid behavior can cause failure in conventional methods. Nonsmooth dynamical systems provide a natural modeling framework for a large class of these problems. Moreover, thanks to recent advancements in nonsmooth analysis, nonsmooth dynamical systems now have a suitable foundational theory for use in, for example, dynamic optimization. Motivated by control and optimization problems in process systems engineering, the theory allows for numerical implementations that scale efficiently for large-scale problems. This work is placed in the context of state-of-the-art modeling efforts for systems displaying hybrid behavior.