14 papers
Data Driven Modeling of Nonlinear Dynamics in a Rotating Detonation Combustor via Finite Dimensional Approximations of the Koopman Operator
David Oexle, Tobias Breiten, Myles D. Bohon
A Rotating Detonation Combustor (RDC) is a promising technology for increasing efficiency in propulsion and power generation applications. The dynamics of the RDC are governed by c…
A first-optimize-then-reduce framework for optimal control with the shifted proper orthogonal decomposition
Tobias Breiten, Shubhaditya Burela, Philipp Schulze
Overcoming the Kolmogorov barrier for constructing efficient reduced-order models (ROMs) for transport-dominated problems remains a challenge. This has impeded their use as computa…
Approximations of the Mortensen observer using higher order extended Kalman filters
Tobias Breiten, Justus Ramme, Jesper Schröder
A polynomial approximation of the minimum energy estimator, also called Mortensen observer, is discussed. The method relies on successive differentiations of an underlying value fu…
From Interpolation to Optimality: Model Reduction for Infinite-Dimensional Linear Control Systems
Cankat Tilki, Tobias Breiten, Serkan Gugercin
We develop the interpolatory optimal model reduction framework for linear control systems posed on infinite dimensional state, input and output spaces. Specifically…
Optimal control with the shifted proper orthogonal decomposition via a first-reduce-then-optimize framework
Tobias Breiten, Shubhaditya Burela, Philipp Schulze
Solving optimal control problems for transport-dominated partial differential equations (PDEs) can become computationally expensive, especially when dealing with high-dimensional s…
When do World Models Successfully Learn Dynamical Systems?
Edmund Ross, Claudia Drygala, Leonhard Schwarz +4
In this work, we explore the use of compact latent representations with learned time dynamics ('World Models') to simulate physical systems. Drawing on concepts from control theory…