Answer Happy

please solve clearly parts 1 and 2 and show all the steps in
Matlab
K=100
Potentiometer Antenna Bokn Azimuth Parameter angle output Kpot K₁ a Km am Motor Potentiometer K₂ Figure 4.1: Azimuth Antenna Position Control (AAPC) R(S) C(s) Km Kpot Ki s+a Kg K Preamplifier Power amplifier Motor and load s(s+am) Potentiometer Gear Figure 4.2: Equivalent Block Diagram AAPC Part 1: Azimuth Antenna Position Control System performance evaluation a. Simplify the block diagram in figure 4.2 using the parameter configuration in figure 4.1, and determine the open-loop and closed-loop transfer function of the system. Use the last two digits of your student ID for the value of 'K'. b. Determine the time response and provide a step response graph. of the system. Also determine if the system is stable or not. Support your answer. c. Using root locus, find the possible range of preamplifier gain(K) required to keep the closed-loop system stable. Choose three values of K that will make the system stable, marginally stable, and not stable system. Obtain the step response for each of these values. Part 2: Compensated Azimuth Antenna Position Control System a. Determine the design point (dominant pole) of the compensated system that will satisfy an improvement in both the settling time and percent overshoot by 40% or better. b. By choosing a lead compensator zero location at Z₁, determine the location of the compensator pole nessary to satisfy the angle criterion of the root locus of the AAPC. Calculate the overall gain. Given Z₂ = -30. c. Write a reflection on the system performance before and after the compensation was added. Show graphs to support your answer. Assume a unity step input. Desired azimuth angle input Differential amplifier and power amplifier Configuration 1 0.6 110 40 6 30 0.1