Let \(G(s)K(s) = \frac{1}{(s+1)(s+0.1)}\). What is the steady state error for unit velocity input?
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1)). For unity feedback, E(s) = R(s)/(1+L(s)). For a unit velocity (r(t)=t) input, R(s) = 1/s^2, so e_ss = lim_{t->∞} e(t) = lim_{s->0} sE(s) = lim_{s->0} s*(1/s^2)/(1+L(s)) = lim_{s->0} 1/(s(1+L(s))). Show more…
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