On the residual based LS parameter estimation algorithm for dual-rate systems

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 > 1 being an integer). To estimate the parameters of the 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.