Nonlinear nonparametric system identification method with broad applicability

Abstract eng:
Based on the correspondence between numerical empirical mode decomposition (EMD) and underlying slow flow dynamics of general dynamical systems we formulate the elements of a nonparametric nonlinear system identification method with broad applicability. The derived reduced order models (ROMs) are in the form of sets of uncoupled linear oscillators (termed intrinsic modal oscillators – IMOs), each corresponding to a basic frequency of the dynamical interaction and forced by transient excitations that represent the nonlinear modal interactions between the rod and the attachment at each of these basic frequencies. We demonstrate the method with a strongly nonlinear system.

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