Question

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 lead compensator such that the dominant closed-loop poles are located at s=2±j3.464. Plot the unit-step and nit-ramp response curves of the compensated system with MATLAB. 4. Referring to the closed-loop system shown as below, design a lead compensator Ge(s) such that the phase-margin is 45°, gain margin is not less than 8dB, and the static velocity error constant K, is 4.0 sec-1. Plot unit-step and unit-ramp response curves of the compensated system with MATLAB.    #### Earn Coins

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• ### 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.

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• ### Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function... Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function G(s) is plotted below: (a) Find the approximate gain margin and phase margin of the system? Is the closed-loop system stable? (b) Suppose in the closed-loop system (s) is replaced with KG(8). What is the range of K so that the closed-loop system is stable? (C) Determine the system type of G(s). (d) Estimate the steady-state errors of the closed-loop system for tracking the...

• ### 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...

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• ### Determine the transfer function of the phase-lead compensator that can be used with the follow open-loop... Determine the transfer function of the phase-lead compensator that can be used with the follow open-loop transfer function in order to give a phase margin of 45° 30 G(s) = s(s+3) Include the Bode plots for the original system (G(s)) and the compensated system (Gc(s)G(s), where Gc(s) is the transfer function of the phase-lead compensator). The Bode plots must show t phase margin (use the margin command or Itiview in MATLAB).

• ### The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode... The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode plot of open-loop transfer function when K (b) Use bode plot of open-loop transfer function to determine the type of system (do not use transfer function) (c) For what input the system will have constant steady-state error (d) for the unit input in item (c) calculate the constant steady-state error.(Use bode plot to calculate the error.) (e) Design a lead...