Exciting Efficient Oscillations in Nonlinear Mechanical Systems Through Eigenmanifold Stabilization

Nonlinear modes are a well investigated concept in dynamical systems theory, extending the celebrated modal analysis of linear mechanical to nonlinear ones. This letter moves first step direction combining control theory and towards implementation hyper-efficient oscillatory behaviors with non-Euclidean metric. Rather than forcing prescribed evolution, we investigate regular that can be autonomously expressed by system, then design controller excites them. A this is proposed, analyzed, tested simulation.