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Communication Dans Un Congrès Année : 2022

Using Spectral Submanifolds for Nonlinear Periodic Control

Résumé

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.
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Dates et versions

hal-04305299 , version 1 (24-11-2023)

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Florian Mahlknecht, John Alora, Shobhit Jain, Edward Schmerling, Riccardo Bonalli, et al.. Using Spectral Submanifolds for Nonlinear Periodic Control. 61st IEEE Conference on Decision and Control (CDC 2022), Dec 2022, Cancun, Mexico. ⟨10.1109/cdc51059.2022.9992400⟩. ⟨hal-04305299⟩
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