Consider the discrete-time unity-feedback control system (with sampling period T = sec) whose open-loop pulse transfer function is given by G(z) == K(0.3679z+ 0.2642) (z -0.3679)(z-1) Determine the range of gain K for stability by use of the Jury stability test. The closed-loop pulse transfer function becomes

5.Consider the feedback system shown in figure. Determine system parameters (a, K, z, p, Ko) to guarantee closed-loop system stability. K. (s+z) K (s +p) e RO E O Y (s² – a²)

Question 6 Calculate the gain margin in linear scale of a feedback control loop, when its open loop transfer function has no unstable poles and has associated the Nyquist plot si below, where a=0.71. Give your answer to 2 decimal places. Nyquist Diagram 0.6 0.4 0.2 -0.2 -0.4 -0.6 -2a/5 Real Axis -a/5 -a -4a/5 -3a/5 a/5 Calculate your answer to 2 decimal places.