Parameter estimation algorithms for Hammerstein time-delay systems based on the orthogonal matching pursuit scheme

摘要

This study focuses on the parameter estimation of Hammerstein non-linear systems with unknown time-delay and coloured noise. By means of the compressed sensing recovery theory and the auxiliary model identification idea, an orthogonal matching pursuit based iterative algorithm is proposed for estimating the system parameters and the time delay. The proposed algorithms can give highly accurate parameter estimates from a small number of observations. Two simulation examples are provided to test the proposed algorithms.