4 papers · 1 filter
Nonlinear balanced truncation model reduction through scalable Taylor series
Nicholas A. Corbin, Boris Kramer
The theory of nonlinear balanced truncation provides a system-theoretic framework for model reduction that preserves important properties such as stability, controllability, and ob…
Reachability Analysis for Design Optimization
Steven Nguyen, Jorge Cortés, Boris Kramer
We present an approach to approximate reachable sets for linear systems with bounded L-infinity controls in finite time. Our first approach investigates the boundaries of these set…
Scalable computation of input-normal/output-diagonal balanced realization for control-affine polynomial systems
Nicholas A. Corbin, Arijit Sarkar, Jacquelien M. A. Scherpen +1
We present a scalable tensor-based approach to computing input-normal/output-diagonal nonlinear balancing transformations for control-affine systems with polynomial nonlinearities.…
Computing Solutions to the Polynomial-Polynomial Regulator Problem
Nicholas A. Corbin, Boris Kramer
We consider the optimal regulation problem for nonlinear control-affine dynamical systems. Whereas the linear-quadratic regulator (LQR) considers optimal control of a linear system…