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For the system shown below, find the followings; (a) Make an accurate plot of the root locus (b) The value of K that gives a stable system with critically damped second-order poles (c ) The value...
Problem 6: For the system shown below, make an accurate plot of the root locus and find the follo...
Problem 6: For the system shown below, make an accurate plot of the root locus and find the following a. The breakaway and break-in points, b. The range of K to keep the system stable, C. The value of K that yields a stable system with critically damped second-order poles C(s) K(s 2)(s 1) (s - 2)(s-1)
Problem 6: For the system shown below, make an accurate plot of the root locus and find the following a. The breakaway and...
For each system, make an accurate plot of the root locus and find the following: a)...
For each system, make an accurate plot of the root locus and find the following: a) The breakaway and break-in points. b) The range of K to keep the system stable. c) The value of K that yields a stable system with critically damped second-order poles. d) The value of K that yields a stable system with a pair of second-order poles that have a damping ratio of 0.707. cally dempe secondes de protest 2) G(s) - K(s+2)(s+1) (s? –...
P. 3: For each system shown below, make an accurate plot of the root locus and find the following...
P. 3: For each system shown below, make an accurate plot of the root locus and find the following: a. The breakaway and break-in points b. The range of K to keep the system stable. c. The value of K that yields a stable system with critically damped second-order system d. The value of K that yields a stable system with a pair of second-order poles that have a damping ratio of 0.707 e. For system 2, find the departure...
For the unity feedback system, where G(s) =-s-2)(s-1) make an accurate plot of the root locus...
For the unity feedback system, where G(s) =-s-2)(s-1) make an accurate plot of the root locus and find the following: (a) The breakaway and break-in points (b) The range of K to keep the system stable (c) The value of K that yields a stable system with critically damped second-order poles (d) The value of K that yields a stable system with a pair of second-order poles that have a damping ratio of 0.707
Use rlocus in MATLAB to plot the root locus for a closed loop control system with the plant trans...
Use rlocus in MATLAB to plot the root locus for a closed loop control system with the plant transfer function 8. z 2 2)2-0.1z +0.06 For what value of k is the closed loop system stable? 9. The characteristic equation for a control system is given as z2(0.2 +k)z 6k +2-0 Use Routh-Hurwitz criterion to find when the system is stable. 10. Use MATLAB to plot the root locus for the system given in Problem 9. Compare your conclusion in...
3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot and determine the K value such that the d...
3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot and determine the K value such that the damping ratio of a pair of dominant complex-conjugate closed-loop poles is 0.5. Ri)1 C(s)
3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot...
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+2...
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+200) G(s) = Do the following using Matlab: a) Sketch the root locus. b) Find the range of gain, K that makes the system stable c) Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d) Obtain Ts, Tp, %OS for the closed loop system in part c). e) Find the value of K that yields...
Sketch the root-locus diagram for the closed-loop poles of the system 1+K 4. -0 with given s(s2 +...
Sketch the root-locus diagram for the closed-loop poles of the system 1+K 4. -0 with given s(s2 +3s+4) characteristic equations as K varies from 0 to infinity
Sketch the root-locus diagram for the closed-loop poles of the system 1+K 4. -0 with given s(s2 +3s+4) characteristic equations as K varies from 0 to infinity
1. Root Locus shows graphically how the poles of a closed-loop system varies as K varies....
1. Root Locus shows graphically how the poles of a closed-loop system varies as K varies. Given the closed-loop system below, obtain the Root Locus for this system. You must explain and show the step-by-step workings and the final root locus plot. You may sketch it first AND then use MATLAB or Excel to show the final plot. Comment on the results. (Please follow the notes given to you earlier). --6-0110-rotate to L(s) $+1 s(s+2)(8 +3)
6) (15 total points) For the root locus plot shown below: a) b) c) Find the...
6) (15 total points) For the root locus plot shown below: a) b) c) Find the open-loop transfer function G(s) (show as factors) (3 points) Assuming unity feedback H-1, find the characteristic equation of the closed loop transfer function (3 points). Find the gain K that the system goes unstable. Hint: express the characteristic equation in (a) as s2 + 2ơs + -0, and determine the point ơ becomes negative (6 points). Find the natural frequency of the closed loop...
Problem 6: For the system shown below, make an accurate plot of the root locus and find the following a. The breakaway and break-in points, b. The range of K to keep the system stable, C. The value of K that yields a stable system with critically damped second-order poles C(s) K(s 2)(s 1) (s - 2)(s-1)
Problem 6: For the system shown below, make an accurate plot of the root locus and find the following a. The breakaway and...
For each system, make an accurate plot of the root locus and find the following: a) The breakaway and break-in points. b) The range of K to keep the system stable. c) The value of K that yields a stable system with critically damped second-order poles. d) The value of K that yields a stable system with a pair of second-order poles that have a damping ratio of 0.707. cally dempe secondes de protest 2) G(s) - K(s+2)(s+1) (s? –...
P. 3: For each system shown below, make an accurate plot of the root locus and find the following: a. The breakaway and break-in points b. The range of K to keep the system stable. c. The value of K that yields a stable system with critically damped second-order system d. The value of K that yields a stable system with a pair of second-order poles that have a damping ratio of 0.707 e. For system 2, find the departure...
For the unity feedback system, where G(s) =-s-2)(s-1) make an accurate plot of the root locus and find the following: (a) The breakaway and break-in points (b) The range of K to keep the system stable (c) The value of K that yields a stable system with critically damped second-order poles (d) The value of K that yields a stable system with a pair of second-order poles that have a damping ratio of 0.707
Use rlocus in MATLAB to plot the root locus for a closed loop control system with the plant transfer function 8. z 2 2)2-0.1z +0.06 For what value of k is the closed loop system stable? 9. The characteristic equation for a control system is given as z2(0.2 +k)z 6k +2-0 Use Routh-Hurwitz criterion to find when the system is stable. 10. Use MATLAB to plot the root locus for the system given in Problem 9. Compare your conclusion in...
3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot and determine the K value such that the damping ratio of a pair of dominant complex-conjugate closed-loop poles is 0.5. Ri)1 C(s)
3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot...
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+200) G(s) = Do the following using Matlab: a) Sketch the root locus. b) Find the range of gain, K that makes the system stable c) Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d) Obtain Ts, Tp, %OS for the closed loop system in part c). e) Find the value of K that yields...
Sketch the root-locus diagram for the closed-loop poles of the system 1+K 4. -0 with given s(s2 +3s+4) characteristic equations as K varies from 0 to infinity
Sketch the root-locus diagram for the closed-loop poles of the system 1+K 4. -0 with given s(s2 +3s+4) characteristic equations as K varies from 0 to infinity
1. Root Locus shows graphically how the poles of a closed-loop system varies as K varies. Given the closed-loop system below, obtain the Root Locus for this system. You must explain and show the step-by-step workings and the final root locus plot. You may sketch it first AND then use MATLAB or Excel to show the final plot. Comment on the results. (Please follow the notes given to you earlier). --6-0110-rotate to L(s) $+1 s(s+2)(8 +3)
6) (15 total points) For the root locus plot shown below: a) b) c) Find the open-loop transfer function G(s) (show as factors) (3 points) Assuming unity feedback H-1, find the characteristic equation of the closed loop transfer function (3 points). Find the gain K that the system goes unstable. Hint: express the characteristic equation in (a) as s2 + 2ơs + -0, and determine the point ơ becomes negative (6 points). Find the natural frequency of the closed loop...
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