doublet responce of doublet input

Question

Muhammad 2021-9-10

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1450909-doublet-responce-of-doublet-input

回答： Paul 2021-9-10

采纳的回答： Paul

doublet input.PNG

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doublet input of magnitude 𝛿𝑒 = 0.1 and time length Δ𝑡 = 1 s;

how i can give doublet input in matlab any idea i have to get the doublet responce of the doublet input magnitude &=0.1 and ltime length

Δ𝑡 = 1 s;

i have lti system in matlab

clc
clear all
A=[-0.0295 0.0478 0 -9.81;-0.1777 -1.4411 120 0;0.0005 -0.033 -1.5345 0;0 0 1 0]
B=[0;-12.81;-6.59;0]
C=[0 0 0 1]
D=[0]
[num ,dem]=ss2tf(A,B,C,D)
sys=tf(num,dem)

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Answer 1

Paul 2021-9-10

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1450909-doublet-responce-of-doublet-input#answer_784964

Can you express the doublet as a sum of unit step functions, eahc of which are appropriately scaled and delayed?

If so, and you can find the output of the sytstem in response to a unit step input, then you can use the linearity and time invariance properties of the system to construct the output in response to the doublet.