PROBLEM: You are now given a problem to test your knowledge of the transfer function, block reduction diagram analysis, signal flow graph, and Mason's rule. Figure 1 shows the antenna azimuth position control system. Based on Figure 1, the block diagram of the antenna azimuth position control system has been represented as shown in Figure 2.
Antenna
8(r) Azimuth angle output
Desired
azimuth angle input
Figure 1: Antenna azimuth position control system
Motor, load and gears
Power amp
Pots
Preamp
ui
10 11
150s + 150
0.16s(s + 1.32)
uo
K
Figure 2: Block diagram of antenna azimuth control system
You are required to answer ALL the following questions:
1. Find the closed-loop transfer function using block diagram reduction analysis.
2. Represent each subsystem with a signal-flow graph of the closed-loop system.
3. Use the signal-flow graph found in (b) along with Mason's rule to find the closed-loop transfer function.
4. Use the transfer function found in (a) and construct the mathematical equation and the transfer function using MATLAB software.