An empirical study on decoupling PNLSS models illustrated on an airplane

Abstract This paper illustrates a combined nonparametric and parametric system identification framework for modeling nonlinear vibrating structures. First step is the analysis: multiple-input multiple-output measurements are (semi-automatically) preprocessed, Best Linear Approximation (BLA) method performed. The outcome of BLA analysis results in frequency response function, noise distortion estimates. Based on this information, linear (state-space) model built. used to initialize high complexity Polynomial Nonlinear State-Space PNLSS model. part manifested as combination high-dimensional multivariate polynomials. last proposed approach decoupling: transforming polynomials into simplified, alternative basis, thereby dramatically reducing number parameters. In work novel filtered canonical polyadic decomposition (CPD) used. methodology illustrated on, but course not limited to, ground vibration testing measurement an air fighter.