Identification of Slowly Time-Varying System Using Legendre Basis Functions

This paper deals with the identification of slowly time-varying system using Legendre basis functions. Physical phenomena exhibit time-varying behaviour for a number of reasons. To model these systems the models with time-dependent parameters are required. In this paper, the system with slowly varying parameters is considered for identification. The input to the time-varying system is chosen to be PRBS which is a frequency rich signal. Even for noisy case, results are found to be satisfactory.