Need a feedback controller expert to help solve this problem, please help.

[answerhappygod]

Need a feedback controller expert to help solve this
problem, please help.

Need A Feedback Controller Expert To Help Solve This Problem Please Help 1 (35.68 KiB) Viewed 17 times

Need A Feedback Controller Expert To Help Solve This Problem Please Help 2 (74.28 KiB) Viewed 17 times

3. For the antenna control problem in the figure below Computer Digital controller Amplifier Motor, gears, and pedestal 20 R(z) M(s) D(z) DIA K e(s) (1) r(k) s? +65 Sensor Voz) 0.4 Binary data assume T = 0.05, and the digital controller D(z) and amplifier gain K = 1. The frequency response for G(s) (-0.7408) practically identical to the previous problem, except that instead of a Bode plot, we now have the frequency response specified in tabular form) Gl=)=(1-")z[69]- 00268 +0.92083 is tabulated on the next page (Note: That this problem is
00 TABLE P7.7-2 Frequency Response for Problem 7.7-2 6 |G(jw) |G(jo) dB ZG(0) 0.1 0.100 33.32874 30.4564 -91.09 0.2 0.200 16.65748 24.4321 -92.19 0.3 0.300 11.09735 20.9042 -93.29 0.4 0.400 8.31502 18.3970 -94.38 0.5 0.500 6.64381 16.4479 -95.47 0.6 0.600 5.52819 14.8510 -96.56 0.7 0.699 4.73007 13.4965 -97.65 0.8 0.799 4.13040 12.3187 -98.73 0.9 0.899 3.66305 11.2754 -99.81 1.0 0.999 3.28834 10.3377 -100.89 2.0 1.998 1.58193 3.9759 -111.28 3.0 2.994 0.99511 -0.0619 -120.81 4.0 3.986 0.69524 -3.1949 -129.31 5.0 4.974 0.51456 -5.8345 -136.78 6.0 5.955 0.39576 -8.1482 -143.31 7.0 6.929 0.31327 -10.2199 -149.03 8.0 7.895 0.25375 -12.0995 -154.07 9.0 8.852 0.20951 -13.8203 -158.54 10.0 9.799 0.17582 -15.4069 -162.54 20.0 18.546 0.05320 -26.7969 -188.55 30.0 25.740 0.02706 -34.2817 -203.49 40.0 31.416 0.01738 -40.4880 -213.67
a. Find the system gain margin with K = 1 and D(z) = 1. b. To design the steady-state error due to step inputs, K is increased to 5. Design a unity gain phase-lag controller that yields a phase margin of 75º. c. Repeat b) using a unity gain phase-lead controller! d. Use simulink to simulate the step response with the lead and lag controllers. Which of the 2 controllers do you think will have a "faster” response (measured either by the rise time or the settling time) and why? Is this what you observe in the plots of the step responses ? Note that the overshoots should be comparable (are they ?) because the phase margins are the same. However, they might not be the same because the resulting closed-loop systems are third order, and besides, also have a zero!