## The residual based extended least squares identification method for dual-rate systems.(English)Zbl 1155.93435

Summary: In this paper, we focus on a class of dual-rate sampled-data systems in which all the inputs $$u(t)$$ are available at each instant while only scarce outputs $$y(qt)$$ can be measured ($$q$$ being an integer more than unity). To estimate the parameters of such dual-rate systems, we derive a mathematical model by using the polynomial transformation technique, and apply the extended least squares algorithm to identify the dual-rate systems directly from the available input-output data $$\{u(t),y(qt)\}$$. Then, we study the convergence properties of the algorithm in details. Finally, we give an example to test and illustrate the algorithm involved.

### MSC:

 93E12 Identification in stochastic control theory 93C80 Frequency-response methods in control theory
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### References:

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