The signal R splits into two parallel blocks G₂ = 13 and G₃ = 11. Their outputs meet at a summing junction with the signs shown (+ and +), and the sum passes through G₁ = 6. Find the overall gain T = C/R.
In the block diagram the forward path has the gains G₁ = 18 and G₂ = 4 in series, and the negative feedback path has the gain H = 1. Find the overall gain T = C/R.
The plant G(s) = K/((s + 1)(s + 5)) is in a unity negative feedback loop. Find the gain K for which the closed loop is critically damped (two equal real poles).
A plant G(s) = 29/(s + 4) is controlled in a negative feedback loop whose sensor has the gain H = 0.2. Find the time constant τ of the closed loop.
The plant G(s) = K/((s + 1)(s + 7)(s + 8)) is in a unity negative feedback loop. At the largest stable gain the loop oscillates. Find the frequency of oscillation ω in rad/s.
A proportional controller K drives the plant G(s) = 7/(s + 10) in a unity negative feedback loop. A disturbance step of size 5 enters at the plant input while R = 0. Find the smallest gain K that keeps the steady-state output at or below 0.035.
Full step-by-step solutions: practise this topic on examproblems.com.