The signal R splits into two parallel blocks G₂ = 15 and G₃ = 11. Their outputs meet at a summing junction with the signs shown (+ and +), and the sum passes through G₁ = 3. Find the overall gain T = C/R.
In the block diagram the forward path has the gains G₁ = 17 and G₂ = 3 in series, and the negative feedback path has the gain H = 0.2. Find the overall gain T = C/R.
A plant G(s) = 10/(s + 5) is controlled in a negative feedback loop whose sensor has the gain H = 0.2. A step of size 1 is applied at R. Find the steady-state output css.
A plant G(s) = 7/(s + 8) is controlled in a negative feedback loop whose sensor has the gain H = 0.1. Find the time constant τ of the closed loop.
A proportional controller K drives the plant G(s) = 2/(s + 5) in a unity negative feedback loop. A disturbance step of size 1 enters at the plant input while R = 0. Find the smallest gain K that keeps the steady-state output at or below 0.04.
A proportional controller K drives the plant G(s) = 3/(s + 10) in a unity negative feedback loop. A disturbance step of size 2 enters at the plant input while R = 0. Find the smallest gain K that keeps the steady-state output at or below 0.12.
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