1. For the system shown, find the sensitivity of the closed-loop transfer function to the parameter $a$. Plot the sensitivity as a function of $a$ using Matlab.
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First, we need to find the closed-loop transfer function. We can do this by using the feedback formula: C(s) = R(s) / (1 + K G(s)) where G(s) is the open-loop transfer function and K is the gain of the feedback loop. In this case, we have: G(s) = Show more…
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