Stepped and swept control-based continuation using adaptive filtering

This paper introduces a new online method for performing control-based continuation (CBC), speeding up the model-less identification of stable and unstable periodic orbits nonlinear mechanical systems. The main building block algorithm is adaptive filtering which can ensure non-invasiveness controller without need offline corrective iterations. Two different strategies, termed stepped swept CBC, are then developed steps. A beam featuring artificial stiffness damping nonlinearities considered experimental demonstration proposed developments. performance CBC strategies compared in terms running time accuracy.