A recursive identification algorithm for linear discrete periodic systems

Abstract

The parameter identification problem of linear discrete period time‐varying (LDPV) systems is studied in this paper and a two‐step identification algorithm based on the recursive least squares principle is proposed. The recursive principle‐based identification algorithm is mostly used to deal with the parameter identification of time‐invariant systems. Combine with the cyclic reconstruction method, the LDPV system is converted to a linear time‐invariant system. Then, based on this and combined with recursive least squares identification, a discrimination algorithm is proposed for the parameter estimation of the LDPV system. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed algorithm.