Application of control-based continuation to a nonlinear structure with harmonically coupled modes

The objective of this study is to demonstrate the applicability of control-based continuation to systems with multiple degrees of freedom. Experimental demonstration is performed on a nonlinear structure comprising harmonically coupled modes. The design of the feedback controller used to stabilise unstable periodic solutions is discussed. The response of the system is then traced out for constant forcing frequencies and amplitudes. System identification is performed to analyse the stability of the underlying, uncontrolled system and detect the presence of limit-point and Neimark-Sacker bifurcations.

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