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Consider a pneumatic actuator represented by 1000 G(s) = (s + 100)(s + 10)" (a) What...
Atendon-operated robotic hand system can be implemented using a pneumatic actuator The system transfer function L(s)...
Atendon-operated robotic hand system can be implemented using a pneumatic actuator The system transfer function L(s) can be represented by 7. K L(s) G (s)G(s) l1+s) Sketch the polar plot for this system when K= 4. Calculate the phase and magnitude at w= 0.5,1,2, 4, and 0o
Atendon-operated robotic hand system can be implemented using a pneumatic actuator The system transfer function L(s) can be represented by 7. K L(s) G (s)G(s) l1+s) Sketch the polar plot for this system...
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode...
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode plot of G is shown in Figure 5. Boda Diagram Magnitude (dB) -100- -156 -135 -root -225 10 Frequency radici Figure 5: Bode plot of G (a) [2 marks] Find the phase margin, gain margin and gain crossover frequency (approximate as needed) for the case when C(s) = 1. PM = GM = wc = You are asked to design a feedback controller C(s)...
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the tr...
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the transfer function (constant, poles, zeros) (a) For any constant terms, what is the dB magnitude? What is the phase angle? (b) For any real poles not at the origin, what is the break frequency? (c) For any real zeros not at the origin, what is the break frequency? 2. Give the value of the DB magnitude and phase angle at w =...
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...
find Consider the Transfer Function Shown Below: G(S) = (s +2) s(s + 3)(s + 5)2...
find
Consider the Transfer Function Shown Below: G(S) = (s +2) s(s + 3)(s + 5)2 a. Plot the magnitude and phase plots for each element of the above transfer function. (1 b. Plot the Bode magnitude and phase plots of the system in the given logarithmic paper. Use the plotted Bode plots to estimate the gain and phase margins of the system. (10 P d. Is the system stable or not? Explain why? (5 Pts) C.
6. Quiz W/Th: Consider the system G()(s 40) (s +4) s S- (a) Fill out the...
6. Quiz W/Th: Consider the system G()(s 40) (s +4) s S- (a) Fill out the table below with the information you would need to sketch the Bode plot of G(s) Break Freq (rad/s) Type (# of LHP/RHP poles/zeros) Magnitude SlopePhase Slope (deg/dec) Term (dB/dec) (b) Calculate the magnitude (in dB) at 0.1 rad/sec and phase (in degrees) at 4 rad/sec (c) Determine which of the following Bode plots is correct for G(s). For full credit, provide enough explanation to...
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
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...
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...
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...
Atendon-operated robotic hand system can be implemented using a pneumatic actuator The system transfer function L(s) can be represented by 7. K L(s) G (s)G(s) l1+s) Sketch the polar plot for this system when K= 4. Calculate the phase and magnitude at w= 0.5,1,2, 4, and 0o
Atendon-operated robotic hand system can be implemented using a pneumatic actuator The system transfer function L(s) can be represented by 7. K L(s) G (s)G(s) l1+s) Sketch the polar plot for this system...
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode plot of G is shown in Figure 5. Boda Diagram Magnitude (dB) -100- -156 -135 -root -225 10 Frequency radici Figure 5: Bode plot of G (a) [2 marks] Find the phase margin, gain margin and gain crossover frequency (approximate as needed) for the case when C(s) = 1. PM = GM = wc = You are asked to design a feedback controller C(s)...
For the system transfer function given by: s +10 $2 x (82100.+10) 1. Identify each term in the transfer function (constant, poles, zeros) (a) For any constant terms, what is the dB magnitude? What is the phase angle? (b) For any real poles not at the origin, what is the break frequency? (c) For any real zeros not at the origin, what is the break frequency? 2. Give the value of the DB magnitude and phase angle at w =...
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...
find
Consider the Transfer Function Shown Below: G(S) = (s +2) s(s + 3)(s + 5)2 a. Plot the magnitude and phase plots for each element of the above transfer function. (1 b. Plot the Bode magnitude and phase plots of the system in the given logarithmic paper. Use the plotted Bode plots to estimate the gain and phase margins of the system. (10 P d. Is the system stable or not? Explain why? (5 Pts) C.
6. Quiz W/Th: Consider the system G()(s 40) (s +4) s S- (a) Fill out the table below with the information you would need to sketch the Bode plot of G(s) Break Freq (rad/s) Type (# of LHP/RHP poles/zeros) Magnitude SlopePhase Slope (deg/dec) Term (dB/dec) (b) Calculate the magnitude (in dB) at 0.1 rad/sec and phase (in degrees) at 4 rad/sec (c) Determine which of the following Bode plots is correct for G(s). For full credit, provide enough explanation to...
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
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...
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...
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...
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