Eigenmanifolds extend eigenspaces to nonlinear mechanical systems with possibly non-Euclidean metric. Recent work has shown that hyper-efficient oscillations can be excited by simple controllers, which simultaneously stabilize an Eigenmanifold and regulate the total energy. Yet, existing techniques require imposing assumptions on the system dynamics that may not be fulfilled by the controlled system. This paper overcomes these limitations, by allowing for a partial dynamic compensation, which produces an advantageous decoupling of the system's dynamics. This decoupling happens in a convenient set of coordinates, which are induced by the modal characterization of the mechanical system. Two control algorithms taking advantage of this property are proposed and validated in simulation
Exciting Nonlinear Modes of Conservative Mechanical Systems by Operating a Master Variable Decoupling
2021 ; Austin, Texas, USA
13.12.2021
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
A review on nonlinear modes in conservative mechanical systems
Deutsches Zentrum für Luft- und Raumfahrt (DLR) | 2020
|Exciting efficient oscillations in nonlinear mechanical systems through Eigenmanifold stabilization
Deutsches Zentrum für Luft- und Raumfahrt (DLR) | 2020
|Geodesics, nonlinear normal modes of conservative vibratory systems and decomposition method
Online Contents | 2005
|Dynamic Decoupling of Nonlinear Systems
British Library Conference Proceedings | 2017
|