Question: Given a third-order transfer function: G(s) = 1 / (s^3 + 1.9s^2 + 1.5s + 1) the input is u'(t) = 2S(t) + 0.5S(t 10)

Given a third-order transfer function: G(s) = 1 / (s^3 + 1.9s^2 + 1.5s + 1) the input is u'(t) = 2S(t) + 0.5S(t 10) 1.2S(t 25). Then, (a. 5 pts.) plot u'(t) by using MATLAB; (b. 10 pts.) plot the response y'(t) by using MATLAB lsim function. (c. 5 pts.) plot zeros and poles by using MATLAB. Note: Please show Matlab ode. Credit will be given only if you use MATLAB to plot figures.

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