design composite G(s)= 10/s^2 + 9 with frequency = 100 rad /s
1. a. Design a bandstop filter with a cutoff frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s b. Confirm by plotting the magnitude & phase of the transfer function. 2. Design a 5th order low pass butterworth filter with wc = 1 rad/s. Use this equation for both problems. (jo) (jo)
Design a bandstop filter with a cutoff frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s
Given the following Bode plot, is the system stable? Why? Bode Diagram 50 50 -100 -90 -180 10 102 10) 10 10 Frequency (rad/s) Bode Diagram 50 50 -100 -90 -180 10 102 10) 10 10 Frequency (rad/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...
QUESTION 2 Consider this 2" order transfer function which was discussed in lecture G(s) 10s+9 The Bode plots (magnitude, phase) for this G(s) are provided in this handout. For the following frequency (i.e."o") values, do complex number calculations as performed in lecture, to verify that this magnitude curve (in decibels) and phase curve (in degrees) are correct “o',-0.03, 0.2, 1, 6, 20, and 60 rad/sec Be sure to show your work CLEARLY, and indicate on the Bode plots the magnitude/phase...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
Assignment 3: Frequency Domain Controller Design using Bode-plots 10 2 Augment the open loop plant G() +27 with sim ple feedback an a dynamic compensator to meet the following specifications: (a) a cross over frequency of w 3 [rad/sec). (b) a phase margin better than 45o (c) a steady state error when tracking a step input < 5%. in H(s) G(s) Recall that Bode plots are applied to the loop gain. out
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Show the system transfer function H(s) (2) Design an IIR digital filter Hz) that corresponds to the above H(s) by using the bilinear transform method without prewarping with T 0.1 second. Show the system transfer function Hz) and find its corresponding digital cut-off frequency Be approximately (3) What is...
Assignment 3: Frequency Domain Controller Design using Bode-plots 2 Augment the open loop plant G(s) = RS), with sim- ple feedback an a dynamic compensator to meet the following specifications: (a) a cross over frequency of we 3 [rad/sec] (b) a phase margin better than 45. (c) a steady state error when tracking a step input < 5%. in H(s) G(sRecall that Bode plots are applied to the loop gain. out
Question 12 100(5 +2) s(s + 1D(s +5 For the system shown below, if G(S) , find the phase crossover frequency in rad/sec). (Write the answer to the nearest 2 digits after the decimal point, do not write units) G(s) Question 13 100(s +2) s(s + 1D(s +5)2 For the system shown below, if G(s) 2find the gain crossover frequency in rad/sec). (Write the answer to the nearest 2 digits after the decimal point, do not write units) G(s) Quèstion...