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s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s2 + 2s +1.49) 3. Determine the...
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s? +2s +1.49) 3. Determine the system...
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s? +2s +1.49) 3. Determine the system impulse response in time domain. (30 marks) 4. Draw its root locus and comment on system stability. (60 marks) 5. If the system can be simplified using the system dominant pole technique into Gi(s) below, obtain the system response for a unit step input, and estimate the overshot and settling time. (50 marks) 3.9 3x(0+1.3) G(S)= (0+1.4)(s? + 25 +1.49) 1.4(s2 + 25 +1.49)
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
Root -locus for following equations b)G24645) c) G(s)- 3s2+5s+1 s(s+2) (S+3) (s+4) (s2+2s+4)
with an angle of departure and arrivals
Root -locus for following equations b)G24645) c) G(s)- 3s2+5s+1 s(s+2) (S+3) (s+4) (s2+2s+4)
Root -locus for following equations b)G24645) c) G(s)- 3s2+5s+1 s(s+2) (S+3) (s+4) (s2+2s+4)
2. Nise(9.6) For a unity feedback system KG(s) (s 6) G(s) T(s) (s 2)(s3)(s 5) 1...
2. Nise(9.6) For a unity feedback system KG(s) (s 6) G(s) T(s) (s 2)(s3)(s 5) 1 + KG(s) a) Given a K 4.60, .707, on the 135 line, find the operating point on the root locus NOTE: use the fact that 1 + KG(s) 0 at all points on the root locus, so K 1 and G(s)l 12(2k 1)180. Or use geometry using the point knowing that cose LKG(s) 1 = and a wn and b b) Find the steady...
Control Assignment 2017/18 In order to complete this assignment you will have to consider a system...
Control Assignment 2017/18 In order to complete this assignment you will have to consider a system which is unique to you. Th parameters of the system are derived from your student mumber and so if you use the wrong mumber you will get the wrong answers and will lose marks. Use the last two digits of your student mumber where Ki-last but_one_digit+I and K-last digit+1. Thus the mumber 201656789 would give K9 and K 10. When you submit your report,...
only b and c please 1 Consider the system whose transfer function is given by: G(S)...
only b and c please
1 Consider the system whose transfer function is given by: G(S) == (2s +1)(s+3) unction is given by: G(s) - (a) Use the root-locus design methodology to design a lead compensator that will provide a closed-loop damping 5 =0.4 and a natural frequency on =9 rad/sec. The general transfer function for lead compensation is given by D(5)=K (977), p>z, 2=2 (b) Use MATLAB to plot the root locus of the feed-forward transfer function, D(s)*G(s), and...
3. Nise(9.6) For a unity feedback system (s + 6) (s + 2)(s +3) (s +5) KG(s) G(s) Ts) a) Given a K-4.60, ζ;.707, on the 135° line, find the operating point on the root locus! NOTE: use the fact th...
3. Nise(9.6) For a unity feedback system (s + 6) (s + 2)(s +3) (s +5) KG(s) G(s) Ts) a) Given a K-4.60, ζ;.707, on the 135° line, find the operating point on the root locus! NOTE: use the fact that 1 + KG(6) - 0 at all points on the root locus,so K r and Goi an KG(s)1 1(2k +1)180. Or use geometry using the point knowing that cose- b) Find the steady state error, and the steady state...
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and...
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and G,(s) 5+2 Y(s) R(S) G,() Gy(s) G;(s) Figure 3.1 3 (0) Y(s) Derive the system transfer function H(s)= of the system. Plot the R(s) poles and zeros of H(s) in the complex s-plane. State whether the system is stable or not stable, and why. [10 marks) (11) Obtain the impulse response of the system, that is ylt) for r(t)= 8(t). Evaluate the final value...
Given the following open loop plant: 48 G(s) s +2) (s+4)(s +6) (a) Design a state feedback contro...
Need help with this problem asap, will rate it. Thank you.
Given the following open loop plant: 48 G(s) s +2) (s+4)(s +6) (a) Design a state feedback controller to yield a 20% overshoot and a settling time of 1 second (2%). Place the third pole 10 times farther from the imaginary axis than the dominant pole pair (b) Determine the pre-filter constant N needed to reduce the steady-state error to a unit step input for the closed-loop system. (c)...
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s? +2s +1.49) 3. Determine the system impulse response in time domain. (30 marks) 4. Draw its root locus and comment on system stability. (60 marks) 5. If the system can be simplified using the system dominant pole technique into Gi(s) below, obtain the system response for a unit step input, and estimate the overshot and settling time. (50 marks) 3.9 3x(0+1.3) G(S)= (0+1.4)(s? + 25 +1.49) 1.4(s2 + 25 +1.49)
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
with an angle of departure and arrivals
Root -locus for following equations b)G24645) c) G(s)- 3s2+5s+1 s(s+2) (S+3) (s+4) (s2+2s+4)
Root -locus for following equations b)G24645) c) G(s)- 3s2+5s+1 s(s+2) (S+3) (s+4) (s2+2s+4)
2. Nise(9.6) For a unity feedback system KG(s) (s 6) G(s) T(s) (s 2)(s3)(s 5) 1 + KG(s) a) Given a K 4.60, .707, on the 135 line, find the operating point on the root locus NOTE: use the fact that 1 + KG(s) 0 at all points on the root locus, so K 1 and G(s)l 12(2k 1)180. Or use geometry using the point knowing that cose LKG(s) 1 = and a wn and b b) Find the steady...
Control Assignment 2017/18 In order to complete this assignment you will have to consider a system which is unique to you. Th parameters of the system are derived from your student mumber and so if you use the wrong mumber you will get the wrong answers and will lose marks. Use the last two digits of your student mumber where Ki-last but_one_digit+I and K-last digit+1. Thus the mumber 201656789 would give K9 and K 10. When you submit your report,...
only b and c please
1 Consider the system whose transfer function is given by: G(S) == (2s +1)(s+3) unction is given by: G(s) - (a) Use the root-locus design methodology to design a lead compensator that will provide a closed-loop damping 5 =0.4 and a natural frequency on =9 rad/sec. The general transfer function for lead compensation is given by D(5)=K (977), p>z, 2=2 (b) Use MATLAB to plot the root locus of the feed-forward transfer function, D(s)*G(s), and...
3. Nise(9.6) For a unity feedback system (s + 6) (s + 2)(s +3) (s +5) KG(s) G(s) Ts) a) Given a K-4.60, ζ;.707, on the 135° line, find the operating point on the root locus! NOTE: use the fact that 1 + KG(6) - 0 at all points on the root locus,so K r and Goi an KG(s)1 1(2k +1)180. Or use geometry using the point knowing that cose- b) Find the steady state error, and the steady state...
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and G,(s) 5+2 Y(s) R(S) G,() Gy(s) G;(s) Figure 3.1 3 (0) Y(s) Derive the system transfer function H(s)= of the system. Plot the R(s) poles and zeros of H(s) in the complex s-plane. State whether the system is stable or not stable, and why. [10 marks) (11) Obtain the impulse response of the system, that is ylt) for r(t)= 8(t). Evaluate the final value...
Need help with this problem asap, will rate it. Thank you.
Given the following open loop plant: 48 G(s) s +2) (s+4)(s +6) (a) Design a state feedback controller to yield a 20% overshoot and a settling time of 1 second (2%). Place the third pole 10 times farther from the imaginary axis than the dominant pole pair (b) Determine the pre-filter constant N needed to reduce the steady-state error to a unit step input for the closed-loop system. (c)...
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