Help me fix the problems and final design with Matlab plot, thanks!

R E Y C(s) P(s) Figure 1: Unity-Feedback System K(8+2) C(8) = (8 + p) 1) Find the closed-loop transfer function Hyr(s) in terms of p and 2. K2 2) Find the condition on such that design objective (ii) is satisfied. 3) a) For p = 18, 2 = 9, 6, 4, 3 and the minimum Ke value that satisfies condition (ii) use MATLAB to plot the Nyquist plot with L, and L, inserted, and see if the plot intersects the two lines. Also find the gain margin, phase margin, and the percent overshoot of the step response (using MATLAB). Make a table that shows p, 2, Kc, GM, PO, and intersecting each of Li and L. (yeso). b) Repeat (a) for the same z values and p= 21. Do you notice any improvements? c) Repeat (a) for the same z values and p = 24. Do you notice any improvements? d) Repeat (a) for the same values and p=27. Do you notice any improvements? e) Repeat (a) for the same z values and p = 30. Is there a z such that all design requirements are satisfied? 4) Write your final controller and hand-sketch the Nyquist plot of G(8) = P(3)C(s) for the final design. Show detailed information at intersections. 5) For your final design, sketch the Bod asymptotic plot. Show corner frequencies and slopes, etc. R E Y C(s) P(s) Figure 1: Unity-Feedback System K(8+2) C(8) = (8 + p) 1) Find the closed-loop transfer function Hyr(s) in terms of p and 2. K2 2) Find the condition on such that design objective (ii) is satisfied. 3) a) For p = 18, 2 = 9, 6, 4, 3 and the minimum Ke value that satisfies condition (ii) use MATLAB to plot the Nyquist plot with L, and L, inserted, and see if the plot intersects the two lines. Also find the gain margin, phase margin, and the percent overshoot of the step response (using MATLAB). Make a table that shows p, 2, Kc, GM, PO, and intersecting each of Li and L. (yeso). b) Repeat (a) for the same z values and p= 21. Do you notice any improvements? c) Repeat (a) for the same z values and p = 24. Do you notice any improvements? d) Repeat (a) for the same values and p=27. Do you notice any improvements? e) Repeat (a) for the same z values and p = 30. Is there a z such that all design requirements are satisfied? 4) Write your final controller and hand-sketch the Nyquist plot of G(8) = P(3)C(s) for the final design. Show detailed information at intersections. 5) For your final design, sketch the Bod asymptotic plot. Show corner frequencies and slopes, etc