You are building a Nyquist plot from a Bode plot of a system L(s) and came up with the following information: omega 0.01 0.5 0.8 1 1.3 2 10 Mag (dB) = MaB 25.4 dB 23 dB 20 dB 18 dB Mag (gain) = 10 14.13 11.22 10 4.47 Mab 20 Angle (degree) -180° -177⁰ -178° -180° -184° -195⁰ -248° -20.6 dB If L(s) has no poles on the imaginary axis, how many clockwise encirclements of -1+j0 does the Nyquist plot have? (If counterclockwise, use negative values.)

e12

A bode diagram of a second order system was measured and plotted as shown below. Use the graph to determine the transfer function of the system. Bode Diagram 20 -20 -40 -60 -45 -90 -135 -180 10° 10' Frequency (rad/sec) 102 10° Phase (deg) Magnitude (dB)

You are given the Bode Diagram shown on the next page. (a) Using the frequency range shown in the Bode plot, estimate the transfer function of the system represented. (b) What is the gain margin shown by this plot? (c) Based on the plot, what is the appropriate steady state error specification for this system and what is the value of the associated error constant (Kp, Ky, or Ka)?

Please solve for R =5

Please assist with question 7 d, e, f, g with details on how to do it. Thank you.