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IEEE Transactions on Automatic Control, Vol.55, No.8, 1976-1981, 2010
Partially Coupled Stochastic Gradient Identification Methods for Non-Uniformly Sampled Systems
This technical note addresses identification problems of non-uniformly sampled systems. For the input-output representation of non-uniform discrete-time systems, a partially coupled stochastic gradient (C-SG) algorithm is proposed to estimate the model parameters with high computational efficiency compared with the standard stochastic gradient (SG) algorithm. The analysis indicates that the partially C-SG algorithm can give more accurate parameter estimates than the SG algorithm. The parameter estimates obtained using the partially C-SG algorithm converge to their true values as the data length approaches infinity.
Keywords:Discretization;multirate systems;non-uniform sampling;parameter estimation;recursive identification;stochastic gradient