Physical parameters estimation of the nonlinear continuous-time dynamics of a DC motor using Hartley modulating functions method

Physical parameters of the nonlinear continuous-time dynamics of a DC-motor and load are identified from available samples of input and noise-corrupte d output signal measurements applying the Hartley modulating functions (HMF ) method. The continuous-time dynamic equations of the DC-motor and load ar e replaced by Hartley spectrum equations or the so-called HMF-model. These Hartley spectrum equations are then approximated using fast algorithms of H artley transformations and the frequency weighted least squares (FWLS) meth od is used to identify the physical parameters of the model. A root mean sq uare (RMS) normalized error criterion is applied to measure the bias of the estimates for different levels of the noise-to-signal ratio (NSR). Simulat ion results suggest that this scheme is effective for physical parameters e stimation of a nonlinear continuous-time systems. (C) 1999 The Franklin Ins titute. Published by Elsevier Science Ltd.