Chapter 10, Problem 10.11P

1. In the following closed-loop system, a PD controller of the form K(s + 5) is used. Design the gain K such that the system achieves an overshoot of 16%. Calculate the settling time and peak time for the PD controlled system. Compensator R(s) + E(s) Plant 1 C(s) K(s+Zc) (s+1)(s+2)(s+5)

Find Vo

3. Use MATLAB to generate the Nyquist plot for the following system. Then, apply the Nyquist stability criterion to determine the range of K values that ensure the stability of the closed-loop system. R(s)+ K C(s) (s+2) 1 (s + 4)(s+6)

4. Please find the stability margins from the following Bode diagrams. Bode Diagram Phase (deg) Magnitude (dB) 50 -100 -90 -135 -180 -270 10" 10° Frequency (rad/sec) 10'

2. Please use asymptotes to draw the Bode diagrams of the following transfer function. Please label the axes to show the cut-off frequencies and key values on vertical axes and label each asymptote with its slope. G(s) s+10 s(s²+10s+100)

Find Vo

Find Vo

Using Properties to find the Z-Transform including the region of convergence for Sol x(n): = n n cos(0.2(n-2))u(n - 1) Xch]=h+1-1 (1) h+h cos(0.27 (^_1_-1)) * shift → ht 44h-13 can you complete my solution

Find Ix