Identification of Hybrid Systems Using a Class of Unified Wavelet-NARX models
Wei, H.L.; Billings, S.A.(2004)
Department of Automatic Control and Systems Engineering
A novel approach is proposed for the identification of hybrid systems based on a unified wavelet-based modelling framework, where the system input-output relationship is connected using mixed multi-resolution wavelet decompositions with respect to different types of wavelet and associated scaling functions. No a priori information on the system dynamics is required to estimate a wavelet-NARX model but only a given input-output data set with assumption that the system input and the output are bounded in a finite interval. Several examples, which involve precise affine (PWA) systems, open-loop threshold autoregressive systems (TARSO), piecewise rational systems and hinging hyperplane ARX (HHARX) systems, are provided to demonstrate the effectiveness and applicability of the new identification procedures.
White Rose Research Online (http://eprints.whiterose.ac.uk/84874/1/acse%20research%20report%20856.pdf)
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