Transfer Function

Creates a single-input single-output (SISO) transfer function model of a system using the Sampling Time (s), Numerator, and Denominator. This step also can produce a transfer function model in which the data is specified in symbolic form.

Details  

Parameter	Description
Name	Specifies the name of the model you create.
Inputs	Displays the number of inputs in the system model.
Outputs	Displays the number of outputs in the system model.
Model Type	Specifies the type of model you create. Contains the following options: Continuous—Specifies that the model you create is in the continuous time domain. Discrete—Specifies that the model you create is in the discrete time domain. When you place a checkmark in the Discrete checkbox, the Sampling Time (s) parameter appears. Sampling Time (s)—Defines the sampling time used in the discrete model. The default is 1. By using the coefficients of the continuous model and setting the Sampling Time (s) of the system to a value greater than zero, you do not create the discrete-time equivalent of the system. If you create a continuous model and want to convert the model to a discrete model, you must use the Discretize Model step. If you already know the coefficients of a discrete transfer function model, you can create the model using this step. Enter the coefficients for the discrete model and set the Sampling Time (s) of the system to a value greater than zero.
Symbolic Coefficients	Specifies that you can use variables to define the model. Define the variable name and the value that the variable represents in the left and right columns, respectively, that appear in the Symbolic coefficients section. Number of Variables—Specifies the maximum number of variables used. The maximum number of variables you can specify is nine. Variables—Lists the coefficient variables and values. The number of variables you specify in the Number of Variables control corresponds to the number of rows in the Variables array.
Resulting Model	Displays the mathematical expression that defines the model you create.
Numerator	Defines the constant coefficients of a polynomial that represent the numerator of a SISO transfer function model. The ith element of Numerator is the coefficient of the ith order term of the polynomial. The index is zero-based.
Denominator	Defines the constant coefficients of a polynomial that represent the denominator of a SISO transfer function model. The ith element of Denominator is the coefficient of the ith order term of the polynomial. The index is zero-based.
Generate Random Model	Generates a random model.

Transfer Function Details

The transfer function model is defined by the following equations:

Continuous
Discrete