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A generalized technique for spectral analysis of nonlinear systems. (English) Zbl 0669.93077
A generalized method for the identification of a large range of nonlinear systems subjected to random excitation is proposed. The method is restricted to single input/output systems and is based on existing techniques for multiple input/output systems. Formulae for the implementation of the technique are given and the method is applied to the vibration of a single-degree-of-freedom system subjected to a turbulent buffeting force and to the analysis of a Duffing oscillator subject to random excitation. For both cases the results are remarkably good.

MSC:
93E12 Identification in stochastic control theory
93C10 Nonlinear systems in control theory
93E25 Computational methods in stochastic control (MSC2010)
93B15 Realizations from input-output data
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