Using Spectral Submanifolds for Nonlinear Periodic Control
| Autor: | Florian Mahlknecht, John Irvin Alora, Shobhit Jain, Edward Schmerling, Riccardo Bonalli, George Haller, Marco Pavone |
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| Rok vydání: | 2022 |
| Předmět: |
FOS: Computer and information sciences
Computer Science - Robotics Optimization and Control (math.OC) FOS: Mathematics FOS: Electrical engineering electronic engineering information engineering Systems and Control (eess.SY) Mathematics - Optimization and Control Electrical Engineering and Systems Science - Systems and Control Robotics (cs.RO) |
| Zdroj: | 2022 IEEE 61st Conference on Decision and Control (CDC). |
| DOI: | 10.1109/cdc51059.2022.9992400 |
| Popis: | 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. Comment: 8 pages, 6 figures, conference on decision and control 2022 |
| Databáze: | OpenAIRE |
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