The signal R splits into two parallel blocks G₂ = 11 and G₃ = 12. Their outputs meet at a summing junction with the signs shown (+ and −), and the sum passes through G₁ = 7. Find the overall gain T = C/R.
In the block diagram the forward path has the gains G₁ = 2 and G₂ = 9 in series, and the negative feedback path has the gain H = 0.05. Find the overall gain T = C/R.
A unity negative feedback loop has G(s) = 7(s + 10)/((s + 8)(s + 9)). A step of size 1 is applied at the reference. Find the steady-state error ess.
A unity negative feedback loop has G(s) = 2(s + 5)/((s + 4)(s + 8)). A step of size 5 is applied at the reference. Find the steady-state error ess.
A proportional controller K = 27 drives the plant G(s) = 4/(s + 8) in a unity negative feedback loop. A disturbance D enters at the plant input (it is added to the controller output). With R = 0, a disturbance step of size 10 is applied. Find the steady-state output css.
The plant G(s) = K/((s + 1)(s + 4)(s + 5)) is in a unity negative feedback loop. At the largest stable gain the loop oscillates. Find the frequency of oscillation ω in rad/s.
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