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Prob. 5 (30 pts): You are to design a compensator for a radar antenna as shown...
Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put all your MATLAB codes and Simulink Diagram under the appendix. The system below is to be compensated to achieve a phase margin of 50 degrees. s +3 x(t) 5+2s+ 2s E-KH. yệt) Design gain and phase-lead compensator to achieve the desired PM of 45 degrees. +PART A: Uncompensated system analysis % created by Fakhera 2020 Determine the uncompensated PM and GM s=tf('s'); g= (5+3)/...
Write a MATLAB program that w design a PD compensator assuming second-order approximations as fol...
Write a MATLAB program that w design a PD compensator assuming second-order approximations as follows. . Allow the user to input the desired percent overshoot, peak time and gain required to meet a steady-state error specification Display the gain-compensated Bode plot . Calculate the required phase margin and bandwidth. . Display the pole, zero, and gain of the PD compensator. Display the compensated Bode plot ·Output the step response of the PD-compensated system to test your second-order approximation. [Implement your...
please show steps 5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth....
please show steps
5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth. Design a lead compensator for this purpose. Determine (1) the ratio of the pole to the zero, α , (2) the frequency where the maximum phase shift from the compensator should be placed, and then (3) the pole and zero. You need not draw the Bode...
You are asked to design a compensator to increase the phase margin to about 45degree without...
You are asked to design a compensator to increase the phase
margin to about 45degree without affecting the steady state
behavior and with the system bandwidth at least 4 rad/s. Would you
use a lag or lead compensator? Briefly explain.
R6 18-01-2018) as In the diagram, the block C(s) represents a compensator. The frequency response of the plant G(s) is shown below. Rode Data Magnitude (c) 40L 135 Phase (deg) .180 Frequency (rad/sec) (a) Suppose a compensator C(s) = 1...
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch...
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch the bode diagram for G. 2. Knowing that a proportional controller with gain 1000 in a unity feedback loop with G results in an unstable system, what are the phase and gain margins of G? 3. Design a proportional controller that achieves a gain margin of 40dB. gain of 10dB at 0.01rad/s and a gain margin 4. Design that is infinity. compensator that results...
4. Referring to the closed-loop system shown as below, design a lead compensator Ge(s) such that...
4. Referring to the closed-loop system shown as below, design a lead compensator Ge(s) such that the phase-margin is 45o, gain margin is not less than 8dB, and the static velocity error constant Ky is 4.0 sec1. Plot unit-step and unit-ramp response curves of the compensated system with MATLAB.
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e()...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e() r(t) y(t) closed-loop transfer-function: Hyr(sD t the closed-loop transfer-function be Hyr(s) Y (s) R(s) Let the transfer-function of the plant be P(s) 10 s (s 1) (s 5) The open-loop transfer-function is G(s) P(s) C(s) DESIGN OBJECTIVES: Find a controller C(s) such that the following are satisfied i) The closed-loop system is stable. ii) The steady-state error ess due to a unit-ramp input r(t)...
Bode Diagram 10 10 Frequency (rad/s) Bode Diagram 100F 140 10 10 Frequency (rad/s) Figure Q4.2 4. The de servo system s...
Bode Diagram 10 10 Frequency (rad/s) Bode Diagram 100F 140 10 10 Frequency (rad/s) Figure Q4.2 4. The de servo system shown in Figure Q4.1 is required to have a transient step response speci fication with a peak time of 0.58 seconds or better, and a +2% setting time of 1.7 seconds or better 01(s) K (s)G(s) s(s 1 (s 5) Figure Q4.1 The Bode diagram of the open-loop system is shown in Figure Q4.2 on page 8. This Bode...
Answer all parts and show all work. Design a Pl or PDcontroller for the system Go)+...
Answer all parts and show all work.
Design a Pl or PDcontroller for the system Go)+ 10 to meet the following specifications Zero steady state error for unit step reference input ·4 < 0.12s . %OS < 10%. (a) Determine the low frequency gain, crossover frequency and phase margin necessary to meet the (b) Decide if C() needs an integrator. Plot the Bode plot of either G(s) or G(o)/s, depending on (c) Use sisotool (or iteration) to choose a gain...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put all your MATLAB codes and Simulink Diagram under the appendix. The system below is to be compensated to achieve a phase margin of 50 degrees. s +3 x(t) 5+2s+ 2s E-KH. yệt) Design gain and phase-lead compensator to achieve the desired PM of 45 degrees. +PART A: Uncompensated system analysis % created by Fakhera 2020 Determine the uncompensated PM and GM s=tf('s'); g= (5+3)/...
Write a MATLAB program that w design a PD compensator assuming second-order approximations as follows. . Allow the user to input the desired percent overshoot, peak time and gain required to meet a steady-state error specification Display the gain-compensated Bode plot . Calculate the required phase margin and bandwidth. . Display the pole, zero, and gain of the PD compensator. Display the compensated Bode plot ·Output the step response of the PD-compensated system to test your second-order approximation. [Implement your...
please show steps
5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth. Design a lead compensator for this purpose. Determine (1) the ratio of the pole to the zero, α , (2) the frequency where the maximum phase shift from the compensator should be placed, and then (3) the pole and zero. You need not draw the Bode...
You are asked to design a compensator to increase the phase
margin to about 45degree without affecting the steady state
behavior and with the system bandwidth at least 4 rad/s. Would you
use a lag or lead compensator? Briefly explain.
R6 18-01-2018) as In the diagram, the block C(s) represents a compensator. The frequency response of the plant G(s) is shown below. Rode Data Magnitude (c) 40L 135 Phase (deg) .180 Frequency (rad/sec) (a) Suppose a compensator C(s) = 1...
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch the bode diagram for G. 2. Knowing that a proportional controller with gain 1000 in a unity feedback loop with G results in an unstable system, what are the phase and gain margins of G? 3. Design a proportional controller that achieves a gain margin of 40dB. gain of 10dB at 0.01rad/s and a gain margin 4. Design that is infinity. compensator that results...
4. Referring to the closed-loop system shown as below, design a lead compensator Ge(s) such that the phase-margin is 45o, gain margin is not less than 8dB, and the static velocity error constant Ky is 4.0 sec1. Plot unit-step and unit-ramp response curves of the compensated system with MATLAB.
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e() r(t) y(t) closed-loop transfer-function: Hyr(sD t the closed-loop transfer-function be Hyr(s) Y (s) R(s) Let the transfer-function of the plant be P(s) 10 s (s 1) (s 5) The open-loop transfer-function is G(s) P(s) C(s) DESIGN OBJECTIVES: Find a controller C(s) such that the following are satisfied i) The closed-loop system is stable. ii) The steady-state error ess due to a unit-ramp input r(t)...
Bode Diagram 10 10 Frequency (rad/s) Bode Diagram 100F 140 10 10 Frequency (rad/s) Figure Q4.2 4. The de servo system shown in Figure Q4.1 is required to have a transient step response speci fication with a peak time of 0.58 seconds or better, and a +2% setting time of 1.7 seconds or better 01(s) K (s)G(s) s(s 1 (s 5) Figure Q4.1 The Bode diagram of the open-loop system is shown in Figure Q4.2 on page 8. This Bode...
Answer all parts and show all work.
Design a Pl or PDcontroller for the system Go)+ 10 to meet the following specifications Zero steady state error for unit step reference input ·4 < 0.12s . %OS < 10%. (a) Determine the low frequency gain, crossover frequency and phase margin necessary to meet the (b) Decide if C() needs an integrator. Plot the Bode plot of either G(s) or G(o)/s, depending on (c) Use sisotool (or iteration) to choose a gain...
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Question 501 pts
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