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A plant has a transfer function G(s) -2)(e and feedback H(s) - and feedback H(s)- (s+2)...
Problem 2 (25 Pts,) Root locus: A proportional only action is controlling a plant with unity feedback. The plant transfer function is: 6 G)+ G+2)(6 +3) a. Draw the poles of G (s) in below figure...
Problem 2 (25 Pts,) Root locus: A proportional only action is controlling a plant with unity feedback. The plant transfer function is: 6 G)+ G+2)(6 +3) a. Draw the poles of G (s) in below figure b. How many asymptotes does the root locus plot of the above transfer function has? c. What angles do the asymptotes make with the positive real axis in the s plane? d. At what point do the asymptotes intersect on the real axis? e....
oble2 (25 Pts.) Root Locus: A proportional only action is controlling a plant with unity feedback. The plant ansfer function is: 6 GG)s+ 1)s + 2)s +3) a. Draw the poles of G(s) in below figure b....
oble2 (25 Pts.) Root Locus: A proportional only action is controlling a plant with unity feedback. The plant ansfer function is: 6 GG)s+ 1)s + 2)s +3) a. Draw the poles of G(s) in below figure b. How many asymptotes does the root locus plot of the above transfer function has? c. What angles do the asymptotes make with the positive real axis in the s plane? d. At what point do the asymptotes intersect on the real axis? e....
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...
Consider the unity feedback system is given below R(S) C(s) G(s) with transfer function: G() =...
Consider the unity feedback system is given below R(S) C(s) G(s) with transfer function: G() = K(+2) s(s+ 1/s + 3)(+5) a) Sketch the root locus. Clearly indicate any asymptotes. b) Find the value of the gain K, that will make the system marginally stable. c) Find the value of the gain K, for which the closed-loop transfer function will have a pole on the real axis at (-0.5).
Consider a unity feedback control system with open loop transfer function KG(G) s(s+2)(s + 6) 1....
Consider a unity feedback control system with open loop transfer function KG(G) s(s+2)(s + 6) 1. Write the characteristic equation of the system 2. Determine the open loop poles and open loop zeros of the system 3. Are there any zeros in infinity? If yes, how many? 4. Sketch the segments of root locus on real axis 5. Determine and sketch the center and the angles of the asymptotes
3. Given the unity feedback system, where G(s) = s(s +2) (s+3)(s +4) do the following:...
3. Given the unity feedback system, where G(s) = s(s +2) (s+3)(s +4) do the following: (a) Sketch the root locus (b) Find the asymptotes c) Find the value of gain that will make the system marginally stable (d) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at-0.5
3. Suppose you have a system with open-loop transfer function K(s +1) (s + 2)(8 +...
3. Suppose you have a system with open-loop transfer function K(s +1) (s + 2)(8 + 4)(s +6) R(s) + © (3) SY(s) (a) Draw the real-axis portion of the root locus. (b) Are there break-in or break-away points? (c) If so, compute their locations. (d) Find the asymptotes of the root locus by finding the center of gravity and the asymptote angles. (e) Is the location of the center of gravity the same as the break-away point?
Problem 2: The loop transfer function of a single-loop feedback control system is given as G(S)H(s)Ks...
Problem 2: The loop transfer function of a single-loop feedback control system is given as G(S)H(s)Ks Construct the root locus (RL) diagrams over paper for K20. Please follow the eight out of nine steps procedures outlined in review session: 1) RL at K0,2) RL at K-, 3) number of branches on the RL, 4) symmetry of the RL, 5) angles of asymptotes of the RL, 6) intersection of the asymptotes, 7) RL on the real axis, and 9) stability criterion...
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3)...
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3) Plot root locus of the closed-loop system for which feedforward transfer function is s + 1 G(S) s( ) St(s - and feedback transfer function is H(S)2 +8s +32
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root...
9. Consider a negative unity-feedback control system with the loop transfer function s +8 D(s) G(8)=K-...
9. Consider a negative unity-feedback control system with the loop transfer function s +8 D(s) G(8)=K- s+1) ((s + 1)2 + 22 (s + 94 + 793 + 1932 +33s + 20 (a) Determine the asymptotes of the root-locus diagram for K > 0, if any. (06pts) Answer: The real-axis crossing of the asymptote(s), a = The angle(s) of the asymptote(s), 0q = _ (b) Determine the break-away and the break-in points of the root-locus diagram for K > 0,...
Problem 2 (25 Pts,) Root locus: A proportional only action is controlling a plant with unity feedback. The plant transfer function is: 6 G)+ G+2)(6 +3) a. Draw the poles of G (s) in below figure b. How many asymptotes does the root locus plot of the above transfer function has? c. What angles do the asymptotes make with the positive real axis in the s plane? d. At what point do the asymptotes intersect on the real axis? e....
oble2 (25 Pts.) Root Locus: A proportional only action is controlling a plant with unity feedback. The plant ansfer function is: 6 GG)s+ 1)s + 2)s +3) a. Draw the poles of G(s) in below figure b. How many asymptotes does the root locus plot of the above transfer function has? c. What angles do the asymptotes make with the positive real axis in the s plane? d. At what point do the asymptotes intersect on the real axis? e....
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...
Consider the unity feedback system is given below R(S) C(s) G(s) with transfer function: G() = K(+2) s(s+ 1/s + 3)(+5) a) Sketch the root locus. Clearly indicate any asymptotes. b) Find the value of the gain K, that will make the system marginally stable. c) Find the value of the gain K, for which the closed-loop transfer function will have a pole on the real axis at (-0.5).
Consider a unity feedback control system with open loop transfer function KG(G) s(s+2)(s + 6) 1. Write the characteristic equation of the system 2. Determine the open loop poles and open loop zeros of the system 3. Are there any zeros in infinity? If yes, how many? 4. Sketch the segments of root locus on real axis 5. Determine and sketch the center and the angles of the asymptotes
3. Given the unity feedback system, where G(s) = s(s +2) (s+3)(s +4) do the following: (a) Sketch the root locus (b) Find the asymptotes c) Find the value of gain that will make the system marginally stable (d) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at-0.5
3. Suppose you have a system with open-loop transfer function K(s +1) (s + 2)(8 + 4)(s +6) R(s) + © (3) SY(s) (a) Draw the real-axis portion of the root locus. (b) Are there break-in or break-away points? (c) If so, compute their locations. (d) Find the asymptotes of the root locus by finding the center of gravity and the asymptote angles. (e) Is the location of the center of gravity the same as the break-away point?
Problem 2: The loop transfer function of a single-loop feedback control system is given as G(S)H(s)Ks Construct the root locus (RL) diagrams over paper for K20. Please follow the eight out of nine steps procedures outlined in review session: 1) RL at K0,2) RL at K-, 3) number of branches on the RL, 4) symmetry of the RL, 5) angles of asymptotes of the RL, 6) intersection of the asymptotes, 7) RL on the real axis, and 9) stability criterion...
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3) Plot root locus of the closed-loop system for which feedforward transfer function is s + 1 G(S) s( ) St(s - and feedback transfer function is H(S)2 +8s +32
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root...
9. Consider a negative unity-feedback control system with the loop transfer function s +8 D(s) G(8)=K- s+1) ((s + 1)2 + 22 (s + 94 + 793 + 1932 +33s + 20 (a) Determine the asymptotes of the root-locus diagram for K > 0, if any. (06pts) Answer: The real-axis crossing of the asymptote(s), a = The angle(s) of the asymptote(s), 0q = _ (b) Determine the break-away and the break-in points of the root-locus diagram for K > 0,...
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