Combined parameter and output estimation of dual-rate systems using an auxiliary model. (English) Zbl 1162.93376

Ding, Feng; Chen, Tongwen

Automatica 40, No. 10, 1739-1748 (2004).

Summary: For a dual-rate sampled-data system, an auxiliary model based identification algorithm for combined parameter and output estimation is proposed. The basic idea is to use an auxiliary model to estimate the unknown noise-free output (true output) of the system, and directly to identify the parameters of the underlying fast single-rate model from the dual-rate input-output data. It is shown that the parameter estimation error consistently converges to zero under generalized or weak persistent excitation conditions and unbounded noise variance, and that the output estimates uniformly converge to the true outputs. An example is included.

MSC:

93C57	Sampled-data control/observation systems
93B30	System identification

Keywords:

Dual-rate systems; Multirate systems; Identification; Parameter estimation; Output estimation; Output error identification; Least squares method

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