270 citations · 947 across the 25 of their papers we have counts for
5 papers · 1 filter
Nonlinear Balanced Truncation: Part 2 -- Model Reduction on Manifolds
Boris Kramer, Serkan Gugercin, Jeff Borggaard
Nonlinear balanced truncation is a model order reduction technique that reduces the dimension of nonlinear systems in a manner that accounts for either open- or closed-loop observa…
Scalable Computation of Energy Functions for Nonlinear Balanced Truncation
Boris Kramer, Serkan Gugercin, Jeff Borggaard +1
Nonlinear balanced truncation is a model order reduction technique that reduces the dimension of nonlinear systems in a manner that accounts for either open- or closed-loop observa…
Certifiable Risk-Based Engineering Design Optimization
Anirban Chaudhuri, Boris Kramer, Matthew Norton +2
Reliable, risk-averse design of complex engineering systems with optimized performance requires dealing with uncertainties. A conventional approach is to add safety margins to a de…
Balanced Reduced-Order Models for Iterative Nonlinear Control of Large-Scale Systems
Yizhe Huang, Boris Kramer
We propose a new framework to design controllers for high-dimensional nonlinear systems. The control is designed through the iterative linear quadratic regulator (ILQR), an algorit…
Stability Domains for Quadratic-Bilinear Reduced-Order Models
Boris Kramer
We propose a computational approach to estimate the stability domain of quadratic-bilinear reduced-order models (ROMs), which are low-dimensional approximations of large-scale dyna…