Transfer function models describe the relationship between the inputs and outputs of a system using a ratio of polynomials. The model order is equal to the order of the denominator polynomial. The roots of the denominator polynomial are referred to as the model poles. The roots of the numerator polynomial are referred to as the model zeros.
The parameters of a transfer function model are its poles, zeros, and transport delays.
In continuous time, a transfer function model has the following form:
Here, Y(s), U(s), and E(s) represent the Laplace transforms of the output, input, and noise, respectively. num(s) and den(s) represent the numerator and denominator polynomials that define the relationship between the input and the output.
For more information, see What are Transfer Function Models?
|System Identification||Identify models of dynamic systems from measured data|
Transfer function models describe the relationship between the inputs and outputs of a system using a ratio of polynomials.
Use the app to set model configuration and estimation options for estimating a transfer function model.
General workflow for estimating transfer function models at the command line.
Characteristics of estimation data for transfer function identification.
This example shows how to identify a transfer function containing a specified number of poles for given data.
This example shows how to identify a transfer function to fit a given frequency response data (FRD) containing additional phase roll off induced by input delay.
This example shows how to estimate a transfer function model when the structure of the expected model is known and apply constraints to the numerator and denominator coefficients.
This example shows how to estimate transfer function models with I/O delays.
This example shows how to estimate a transfer function model with unknown transport delays and apply an upper bound on the unknown transport delays.
Improve frequency-domain model estimation by preprocessing data and applying frequency-dependent weighting filters.
Specify the values and constraints for the numerator, denominator and transport delays.
Specify how initial conditions are handled during model estimation in the app and at the command line.