Simulink/Differential Equation question with unit step inputs

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Sullman
Sullman 2012-12-3
Was wondering if I could get some help solving this HW question. Consider the following differential equation with 2 inputs (u1 and u2) and one output(y) y¨+ 2y˙ + y = 3u1 - u2 Set u1 to be a unit step input acting from t = 1 and u2 a unit step input acting from t = 2. Prepare a Simulink diagram to plot the response of y to these inputs for t = 0 to t = 5, starting with zero initial conditions (find a transfer function from v = 3u1 - u2 to y and use a summing node at the input.
I derived the transfer function as 1/s^2+2s+1 but how do I put it into simulink.

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回答（1 个）

Azzi Abdelmalek
Azzi Abdelmalek 2012-12-4
Use a transfer function block from simulink/continuous, and set Numerator and Denominator block:
N=[1]
D=[1 2 1]
If you want your step signal to start at 1 sec set it's step time at 1

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