WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

First- and Second-Order Transfer Functions

​
transfer function model
first order plus dead time (FOPDT)
time constant, τ
7
process gain, K
10
dead time, θ
2
​
​
This Demonstration plots the time-domain response of a system with a step input of unity. Select either a first-order plus dead time (FOPDT) model or a second-order plus dead time (SOPDT) model. Set the time constant
τ
to change how quickly the system reaches a new steady state, the process gain
K
to change how aggressively the system responds to the unity step input and the dead time
θ
that delays the system response by a value of
θ
. For the second-order process, change the damping coefficient
ζ
with a slider. The damping coefficient is a measure of the magnitude of damping, which affects the degree of oscillation in the response. Dimensionless time is used.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.