A structured Krylov subspace approach based model reduction of periodic control system in lifted form

Abstract

In this paper, a reduced order model technique based on Krylov subspace for linear discrete-time periodic (LDTP) control system has been proposed. The proposed iterative algorithm conserves the exact structure of the original solution of LDTP Lyapunov functions while approximating them using Krylov iterations. This paper also exhibits how this proposed structure preserving algorithm generates a reduced order LDTP model. For confirming the efficiency and accuracy of this proposed algorithm numerical results are presented herewith this paper.