Question 5. For the unity feedback system with forward path transfer function G(s) = (Ks(s+1))/((s^2 - 4s + 6)(s+C)), use Matlab to determine the range of K for stability.
Question 6. For a unity feedback system with G(s) = K/(s(s+2)(s+C)(s+10)), write a Matlab program to do the following:
6.1 Display the root locus.
6.2 Draw a close-up of the root locus where the axes go from -10 to 0 on the real axis and -20 to 20 on the imaginary axis.
6.3 Overlay the 15% overshoot line on the close-up root locus.
6.4 Generate the step response at the gain for 15% overshoot.
Question 5 [10]: For the unity feedback system with forward path transfer function G(s) = Ks(s+1)/(s^2 - 4s + 6)(s+C), use Matlab or Python to determine the range of K for stability.
Question 6: For a unity feedback system with G(s) = K/(s(s+2)(s+C)(s+10)), write a Matlab or Python program to do the following:
6.1 Display the root locus. (8)
6.2 Draw a close-up of the root locus where the axes go from -10 to 0 on the real axis and -20 to 20 on the imaginary axis. (8)
6.3 Overlay the 15% overshoot line on the close-up root locus. (5)
6.4 Generate the step response at the gain for 15% overshoot. (5) [26]