Fitting a Nonlinear, Dynamic System

This section describes the fitting process and the main challenges associated with it for a nonlinear, dynamic system.

Identification Problem for Fitting

The bushing identification is formulated as follows:

C o s t ( b ) = i = 1 n c a s e { ( 1 k d _ model i k d _ t e s t i ) 2 + ( 1 φ model i φ t e s t i ) 2 } , ncase = the number of measurements made

such that the constraints:

H( x 0 + x m e j( ω 0 t+ φ x ) ,j ω 0 x m e j( ω 0 t+ φ x ) , y 0 + k d u m e j( ω 0 t+φ ) , u 0 + u m e j ω 0 t ,p )=0

Subject to limits on the parameters p:

L i p i U i ,i=1 N p