Two-Stage Recursive Least Squares Algorithm for Two-Input Single-Output Systems Auto -Regressive Systems for Parameter Estimation

the identification problem of the two-stage recursive least squares algorithm (TS-RLS) for two-input single-output system auto -regressive system is derived in this work. The basic principle is to divide the original system into three subsystems, one of which includes a single parameter vector, and the parameters are identified of each subsystem separately. As a comparison with the conventional (RLS) algorithm, the subsystems covariance matrices dimensions in the suggested approach become small, and as a result of that, the suggested approach has less computational effort. The simulation results illustrate the efficacy of the suggested approach.