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Consider the following unity feedback system for Problems 2-3 R(9) —tqKAG YIS) Figure 1 Problem 2...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a)...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw a Bode diagram of the open-loop transfer function G(s) when K 10. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K-10? c) Determine the value of K such that the phase margin is 30°. What are the gain margin and the crossover frequencies with this K? Note: You can finish problems 2-3 with the help...
Problem 2 For the unity feedback system below in Figure 2 G(s) Figure 2. With (8+2) G(s) = (a) Sk...
Problem 2 For the unity feedback system below in Figure 2 G(s) Figure 2. With (8+2) G(s) = (a) Sketch the root locus. 1. Draw the finite open-loop poles and zeros. ii. Draw the real-axis root locus iii. Draw the asymptotes and root locus branches. (b) Find the value of gain that will make the system marginally stable. (c) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at s...
Problem 3: Consider a unity feedback system with a plant model given by 10(s- 5) and a controller...
Problem 3: Consider a unity feedback system with a plant model given by 10(s- 5) and a controller given by s + p for K 0 and some real z and p. a) Use the root-locus technique to determine the sign of z and p so that the closed-loop system is stable for all K E (0, K) for some Ku> 0. b) Sketch the possible forms of the root-locus in terms of the pole and zero locations of Ge(s)....
3) (10 pts) Consider the unity feedback system as shown in Figure 1, where s(s+1)(s+5s+6) (a) For...
3) (10 pts) Consider the unity feedback system as shown in Figure 1, where s(s+1)(s+5s+6) (a) For C(s) K, sketch the root locus (b) Based on your root locus in (a), can you find a value of gain K, such that the closed- loop system will have a settling time of 1 second under a step input? Justify your answer.
3) (10 pts) Consider the unity feedback system as shown in Figure 1, where s(s+1)(s+5s+6) (a) For C(s) K, sketch...
1. Consider the standard unity feedback system with the feedforward transfer function K(a+3) 82-2 KG(s) Using...
1. Consider the standard unity feedback system with the feedforward transfer function K(a+3) 82-2 KG(s) Using the root locus plot, determine the range(s) of K such that the closed-loop system is stable. Determin all the points of interest for the root locus plot.
1) (10 pts) Consider the unity feedback system shown in the figure: For each of the...
1) (10 pts) Consider the unity feedback system shown in the figure: For each of the following transfer function G(s), plot its Bode plots using Matlab command "bode", and then work on the plots to find out the crossover frequency phase margin . the phase crossover frequency and the gain margin GM: (a) G(s)= , the S+4 s(s + l)(s + 2)(s +10) (b) Gs)100
3) (30 points) Find the range of K for the unity feedback system below, but also points and calculate any asymptotes & jw-crossing value. 14. Sketch the root locus and find the range of K for...
3) (30 points) Find the range of K for the unity feedback system below, but also points and calculate any asymptotes & jw-crossing value. 14. Sketch the root locus and find the range of K for stability for the unity feedback system shown in Figure P8.3 for the following conditions: [Section: 8.5 G(s) = Ke-2+2) 1,
3) (30 points) Find the range of K for the unity feedback system below, but also points and calculate any asymptotes & jw-crossing value....
1. Given the unity feedback system, where K(s+1(s 2) 1)(s-4) G(s) do the following: (a) Find the ...
1. Given the unity feedback system, where K(s+1(s 2) 1)(s-4) G(s) do the following: (a) Find the root locus form. (b) Sketch the root locus. (c) Find the value of K such that the system is stable. (d) Find one value of K such that the closed-loop has a settling time less than or equal to 4 second and the percent of overshoot is less than or equal to 10 with the aid of MATLAB
1. Given the unity feedback...
Linear feedback systems evaluate the root locus for the unity gain negative feedback system where the...
Linear feedback systems evaluate the root locus for the unity gain negative feedback system where the feed - forward gain is G(s) = K(s+6) / s(s+1) (s+3) A. Determine and carefully draw real-line root locus and calculate the asymptotes B draw and label the root- locus. denote any angles of departure, jw-axis crossing and breakpoints
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw a Bode diagram of the open-loop transfer function G(s) when K 10. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K-10? c) Determine the value of K such that the phase margin is 30°. What are the gain margin and the crossover frequencies with this K? Note: You can finish problems 2-3 with the help...
Problem 2 For the unity feedback system below in Figure 2 G(s) Figure 2. With (8+2) G(s) = (a) Sketch the root locus. 1. Draw the finite open-loop poles and zeros. ii. Draw the real-axis root locus iii. Draw the asymptotes and root locus branches. (b) Find the value of gain that will make the system marginally stable. (c) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at s...
Problem 3: Consider a unity feedback system with a plant model given by 10(s- 5) and a controller given by s + p for K 0 and some real z and p. a) Use the root-locus technique to determine the sign of z and p so that the closed-loop system is stable for all K E (0, K) for some Ku> 0. b) Sketch the possible forms of the root-locus in terms of the pole and zero locations of Ge(s)....
3) (10 pts) Consider the unity feedback system as shown in Figure 1, where s(s+1)(s+5s+6) (a) For C(s) K, sketch the root locus (b) Based on your root locus in (a), can you find a value of gain K, such that the closed- loop system will have a settling time of 1 second under a step input? Justify your answer.
3) (10 pts) Consider the unity feedback system as shown in Figure 1, where s(s+1)(s+5s+6) (a) For C(s) K, sketch...
1. Consider the standard unity feedback system with the feedforward transfer function K(a+3) 82-2 KG(s) Using the root locus plot, determine the range(s) of K such that the closed-loop system is stable. Determin all the points of interest for the root locus plot.
1) (10 pts) Consider the unity feedback system shown in the figure: For each of the following transfer function G(s), plot its Bode plots using Matlab command "bode", and then work on the plots to find out the crossover frequency phase margin . the phase crossover frequency and the gain margin GM: (a) G(s)= , the S+4 s(s + l)(s + 2)(s +10) (b) Gs)100
3) (30 points) Find the range of K for the unity feedback system below, but also points and calculate any asymptotes & jw-crossing value. 14. Sketch the root locus and find the range of K for stability for the unity feedback system shown in Figure P8.3 for the following conditions: [Section: 8.5 G(s) = Ke-2+2) 1,
3) (30 points) Find the range of K for the unity feedback system below, but also points and calculate any asymptotes & jw-crossing value....
1. Given the unity feedback system, where K(s+1(s 2) 1)(s-4) G(s) do the following: (a) Find the root locus form. (b) Sketch the root locus. (c) Find the value of K such that the system is stable. (d) Find one value of K such that the closed-loop has a settling time less than or equal to 4 second and the percent of overshoot is less than or equal to 10 with the aid of MATLAB
1. Given the unity feedback...
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