Estimation of affine LPV state space models in the frequency domain: Extension to transient behavior and non-periodic inputs

Recently, a state space identification method was developed for linear periodic parameter-varying systems in the frequency domain. The proposed algorithm required the input and scheduling signals to be periodic and synchronized. In this paper, we extend the existing approach to handle transient behavior with respect to the input. Because the system is no longer required to be in steady state, non-periodic inputs can now be used as well. We illustrate the extended identification technique on a discrete time SIMO simulation example.