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QUESTION 1 Given the transfer function for a control system: 10 G(s) (1 + s)(0.5s +...
Consider the transfer function of a DC motor given by G(s) = 1 / s(s+2) 3. Consider the transfer function of a DC motor...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram...
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase margin and gain margin. Is the closed loop system stable? (a) (17 marks) (b) By how much must the gain be adjusted for a phase margin of 50°? (8 marks)
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase...
3. Consider the transfer function: ls0 (s +0.5(s +2(s +3)(s +4(s+10) (s +3.5) (s +4.5) (s 5.5) (s...
3. Consider the transfer function: ls0 (s +0.5(s +2(s +3)(s +4(s+10) (s +3.5) (s +4.5) (s 5.5) (s 6.5)(s +20.5) (a) [6] Find the phase angle (degrees) and gain (in dB, Bode units) for the following frequencies (in rad/sec) rail Gp(ju) dB 0.1 21 56 b) [3 What is the gain crossover frequency for this system? (c) [8] Design a PD controller so that-0.3 ± 0.3] is a pole of the closed-loop system.
3. Consider the transfer function: ls0 (s...
For the given transfer function: Ho-2where s 5 (s s (s +10) where s =j w...
For the given transfer function: Ho-2where s 5 (s s (s +10) where s =j w Sketch the approximate Bode plots (amplitude and phase). Label all the amplitude values in db, phase values in degrees, the slopes in db/dec, and the corner frequencies in rad/sec.. a. b. If the gain of the transfer function given above, H(s), increased by a factor of 10 (from 5 to 50), what will happen to the approximate Bode plots (amplitude and phase) that you...
Sketch the bode plot of a signal conditioner with the transfer function G(s) in the provided...
Sketch the bode plot of a signal conditioner with the transfer function G(s) in the provided graph and calculate the bandwidth of this signal conditioner. GO 10s +1 S2 + 10s + 24 Table 2 Components in G(S) Asymptotes for Magnitude Asymptotes for Phase 20 log,0 1G(jw) Frequency-rad/sec Phase - degrees Frequency - rad/sec
consider a negative unity feedback system whose feedforward transfer function is: (s) - 1/((s+0.11(s+1)(s+10) Brawa Bode...
consider a negative unity feedback system whose feedforward transfer function is: (s) - 1/((s+0.11(s+1)(s+10) Brawa Bode plot of the open loop transfer function that includes an asymptotic and approximate estimate for both magnitude and phase. Answer he following questions Asymptotic phase lag at 1 rad/sec is _ degrees 0 -45 -90 0-135 -180 225 270 325 -360 Asymptotic phase lag at 10 rad/sec is _ degrees 0 -45 -90 0 -135 -180 -225 -270 360 none of these Asymptotic phase...
Question 10 Q10e Not complete Flag question a) What is the zero of this function in...
Question 10 Q10e Not complete Flag question a) What is the zero of this function in the form s+z,? b) What are the two poles of this function in the form s + P,2? (positive lower value) P2100 c) What is the gain K in dB after putting this function in Standard Form? (positive higher value) K-9.54 dB For the following use the Bode diagram straight-line approximation conventions (do not plot the function) d) Find the magnitude of this transfer...
6) The open loop transfer function of a control system is 10-011. Ata frequency of 1...
6) The open loop transfer function of a control system is 10-011. Ata frequency of 1 Hz, the system phase shift is: (1) 0.9 kg (2) 5.7" tag (3) 18 (6) 36"lag (5) none of the above h) The open-loop transfer function of control system is 10 At high frequencies, the gain will: (1) be constant (2) roll off at -20 d/decade (3) roll off at -40 dB/decade (6) roll off at 60 dB/decade The open-loop transfer function of a...
Question ④ (20 marks) Consider a control system shown in Fig. I has an open loop TF-G(s) H (s)--( A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 62.1 degrees at...
Question ④ (20 marks) Consider a control system shown in Fig. I has an open loop TF-G(s) H (s)--( A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 62.1 degrees at 2.65 rad/sec.? B-Sketch the polar plot? 15 S(S+5) C- Sketch the Bode plot and show gain margin and phase margin? D-Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all, Examiners
Question ④ (20 marks) Consider...
Question .(20 marks) Consider a control system shown in Fig.2 has an open loop TE-G(S)H(s)- 49...
Question .(20 marks) Consider a control system shown in Fig.2 has an open loop TE-G(S)H(s)- 49 S(S+7) A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 51.8 degrees at 5.5 rad/sec.? B-Sketch the polar plot? C- Sketch the Bode plot and show gain margin and phase margin D- Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all Examiners
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase margin and gain margin. Is the closed loop system stable? (a) (17 marks) (b) By how much must the gain be adjusted for a phase margin of 50°? (8 marks)
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase...
3. Consider the transfer function: ls0 (s +0.5(s +2(s +3)(s +4(s+10) (s +3.5) (s +4.5) (s 5.5) (s 6.5)(s +20.5) (a) [6] Find the phase angle (degrees) and gain (in dB, Bode units) for the following frequencies (in rad/sec) rail Gp(ju) dB 0.1 21 56 b) [3 What is the gain crossover frequency for this system? (c) [8] Design a PD controller so that-0.3 ± 0.3] is a pole of the closed-loop system.
3. Consider the transfer function: ls0 (s...
For the given transfer function: Ho-2where s 5 (s s (s +10) where s =j w Sketch the approximate Bode plots (amplitude and phase). Label all the amplitude values in db, phase values in degrees, the slopes in db/dec, and the corner frequencies in rad/sec.. a. b. If the gain of the transfer function given above, H(s), increased by a factor of 10 (from 5 to 50), what will happen to the approximate Bode plots (amplitude and phase) that you...
Sketch the bode plot of a signal conditioner with the transfer function G(s) in the provided graph and calculate the bandwidth of this signal conditioner. GO 10s +1 S2 + 10s + 24 Table 2 Components in G(S) Asymptotes for Magnitude Asymptotes for Phase 20 log,0 1G(jw) Frequency-rad/sec Phase - degrees Frequency - rad/sec
consider a negative unity feedback system whose feedforward transfer function is: (s) - 1/((s+0.11(s+1)(s+10) Brawa Bode plot of the open loop transfer function that includes an asymptotic and approximate estimate for both magnitude and phase. Answer he following questions Asymptotic phase lag at 1 rad/sec is _ degrees 0 -45 -90 0-135 -180 225 270 325 -360 Asymptotic phase lag at 10 rad/sec is _ degrees 0 -45 -90 0 -135 -180 -225 -270 360 none of these Asymptotic phase...
Question 10 Q10e Not complete Flag question a) What is the zero of this function in the form s+z,? b) What are the two poles of this function in the form s + P,2? (positive lower value) P2100 c) What is the gain K in dB after putting this function in Standard Form? (positive higher value) K-9.54 dB For the following use the Bode diagram straight-line approximation conventions (do not plot the function) d) Find the magnitude of this transfer...
6) The open loop transfer function of a control system is 10-011. Ata frequency of 1 Hz, the system phase shift is: (1) 0.9 kg (2) 5.7" tag (3) 18 (6) 36"lag (5) none of the above h) The open-loop transfer function of control system is 10 At high frequencies, the gain will: (1) be constant (2) roll off at -20 d/decade (3) roll off at -40 dB/decade (6) roll off at 60 dB/decade The open-loop transfer function of a...
Question ④ (20 marks) Consider a control system shown in Fig. I has an open loop TF-G(s) H (s)--( A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 62.1 degrees at 2.65 rad/sec.? B-Sketch the polar plot? 15 S(S+5) C- Sketch the Bode plot and show gain margin and phase margin? D-Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all, Examiners
Question ④ (20 marks) Consider...
Question .(20 marks) Consider a control system shown in Fig.2 has an open loop TE-G(S)H(s)- 49 S(S+7) A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 51.8 degrees at 5.5 rad/sec.? B-Sketch the polar plot? C- Sketch the Bode plot and show gain margin and phase margin D- Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all Examiners
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