AE 5090. GRADUATE AEROSPACE ENGINEERING COLLOQUIUM
Data-Driven Reduced Order Model Stabilization for Partial Differential Equations based on Lyapunov Theory and Extremum Seeking
Dr. Mouhacine Benosman
3:00 PM, Friday, Feb. 1, 2019
The problem of reducing a partial differential equation (PDE) to a system of finite dimensional ordinary differential equations (ODE), is of paramount importance in engineering and physics where solving PDE models is often too time consuming. The idea of being able to reduce the PDE model to a simple ODE model without loosing the main characteristics of the original model, such as stability and prediction precision, is appealing for any real-time model-based estimation and control applications. However, this problem remains challenging since model reduction can introduce stability loss and prediction degradation. To remedy these problems many methods have been developed aiming at what is known as stable model reduction.