Abstract
Very high dimensional nonlinear systems arise in many engineering problems due to semi-discretization of the governing partial differential equations, e.g. through finite element methods. The complexity of these systems present computational challenges for direct application to automatic control. While model reduction has seen ubiquitous applications in control, the use of nonlinear model reduction methods in this setting remains difficult. The problem lies in preserving the structure of the nonlinear dynamics in the reduced order model for high-fidelity control. In this work, we leverage recent advances in Spectral Submanifold (SSM) theory to enable model reduction under well-defined assumptions for the purpose of efficiently synthesizing feedback controllers. Show more
Publication status
publishedExternal links
Book title
2022 IEEE 61st Conference on Decision and Control (CDC)Pages / Article No.
Publisher
IEEEEvent
Organisational unit
03973 - Haller, George / Haller, George
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ETH Bibliography
yes
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