Step Response Using Padé Approximants

step response

delay only

first-order plus delay

time delay θ

2

time constant τ

4

This Demonstration shows plots of a unit-step response of a time delay and a first-order plus time delay using either 1/1 or 2/2 Padé approximants (red and blue curves). These approximate output functions can be compared with the exact solution shown here in green. You can vary the time delay

θ

and the first-order time constant

τ

.