Please be specific about the root locus and Matlab code.
Homework Answers
1- Ignore Gc and sketch the root locus diagram and locate a point on the locus that corresponds to
a closed loop-damping ratio of 0.867.
• What is the value of k for this condition?
• Show the closed loop step response at the specified value of k.
• What are the closed loop poles for this value of k?
Add Answer to:
Please be specific about the root locus and Matlab code.
Problem 2 For the feedback system...
1. Write the MATLAB commands (tf.) and zpk (...)) that yield the following trans fer functions:...
1. Write the MATLAB commands (tf.) and zpk (...)) that yield the following trans fer functions: ii) Hy=1+1+ ii) H3-3-*+-1 (s + 1)( -2) iv) H. - 3)(8 + 4) 2. Consider the feedback system: C(0) = K * G(s) Determine the values of K, a, and b of C(s) such that the dominant-closed loop poles are located at $12 = -1 j. Use the root locus method. Provide the locations of the dominant poles. You should include the root...
Sketch the root locus plot of a unity feedback system with an open loop transfer function...
Sketch the root locus plot of a unity feedback system with an open loop transfer function G(s) = K / s (s+2) (s+4) Determine the value of K so that the dominant pair of complex poles of the system has a damping ratio of 0.5.
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...
1) The root locus trajectory intervals on the real axis. 2) The number of asymptotes and...
1) The root locus trajectory intervals on the real axis. 2) The
number of asymptotes and their center. 3) The breakaway/break-in
point of the locus and its open loop gain. 4) The limit gain for
stability and the value of the closed-loop poles. 5) The gain and
the value of the closed loop poles for a damping ratio of .5.
process with negative feedback: R(s) E(s) C(s) H(s) Go(s)= K, Gp(s)- H(s) 1 s(s+1)2 Determine: 1) The root locus trajectory...
Matlab needs to be done by matlab Create a root locus plot to determine design a...
Matlab
needs to be done by matlab
Create a root locus plot to determine design a control system for the following system which has a standard negative unity feedback system. G(s) = K (s2 - 4s +20)/[(s+2)(s+4)] Damping ratio goal for the control system gain K is to maintain a 45% damping ratio, or zeta = 0.45. Select the gain, K, using the root locus software. O 0.211 O 0.417 0.987 O 1.97 At what gain K does the system...
% MATLAB allows root loci to be plotted with the % rlocus(GH) command, where G(s)H(s) =...
% MATLAB allows root loci to be plotted with the
% rlocus(GH) command, where G(s)H(s) = numgh/dengh and GH is an
LTI transfer-
% function object. Points on the root locus can be selected
interactively
% using [K,p] = rlocfind(GH) command. MATLAB yields gain(K)
at
% that point as well as all other poles(p) that have that gain.
We can zoom
% in and out of root locus by changing range of axis values
using
% command axis([xmin,xmax,ymin,ymax]). root locus...
1- [a] For positive values of K, plot the root locus for a unity negative feedback...
1- [a] For positive values of K, plot the root locus for a unity negative feedback control system having the following open-loop transfer function: K G(s)= (5 + 1)(8 + 4)(8 + 7) For what values of gain K does the system become unstable? Find also the value of k at which the damping ratio is 0.5 and the closed loop poles. (25%) [b] The characteristic equations of linear control systems are given below. Apply Routh-Hurwitz criterion to determine the...
Can you Solve in matlab please. I need your help B-7-6. Consider the system shown in Figure 7-59. Plot the root loci for the system. Determine the value of K such that the damping ratio ζ of the d...
Can you Solve in matlab please. I need your help
B-7-6. Consider the system shown in Figure 7-59. Plot the root loci for the system. Determine the value of K such that the damping ratio ζ of the dominant closed-loop poles is 05. Then determine all closed-loop poles. Plot the unit-step response curve with MATLAB. s(s2 +4s +5) Figure 7-59 Control system.
B-7-6. Consider the system shown in Figure 7-59. Plot the root loci for the system. Determine the value...
Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer f...
Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer function: (a) [10 marks] K(s 4) (s + 2) is a circle, and find the centre and the radius. Determine the minimum value of the damping ratio and the corresponding value of K (b) The root locus of the open loop transfer function: [10 marks] s(s26s +15) is depicted in Figure Q1(b). Find the minimum value of gain K that will render the system...
1. Write the MATLAB commands (tf.) and zpk (...)) that yield the following trans fer functions: ii) Hy=1+1+ ii) H3-3-*+-1 (s + 1)( -2) iv) H. - 3)(8 + 4) 2. Consider the feedback system: C(0) = K * G(s) Determine the values of K, a, and b of C(s) such that the dominant-closed loop poles are located at $12 = -1 j. Use the root locus method. Provide the locations of the dominant poles. You should include the root...
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...
1) The root locus trajectory intervals on the real axis. 2) The
number of asymptotes and their center. 3) The breakaway/break-in
point of the locus and its open loop gain. 4) The limit gain for
stability and the value of the closed-loop poles. 5) The gain and
the value of the closed loop poles for a damping ratio of .5.
process with negative feedback: R(s) E(s) C(s) H(s) Go(s)= K, Gp(s)- H(s) 1 s(s+1)2 Determine: 1) The root locus trajectory...
Matlab
needs to be done by matlab
Create a root locus plot to determine design a control system for the following system which has a standard negative unity feedback system. G(s) = K (s2 - 4s +20)/[(s+2)(s+4)] Damping ratio goal for the control system gain K is to maintain a 45% damping ratio, or zeta = 0.45. Select the gain, K, using the root locus software. O 0.211 O 0.417 0.987 O 1.97 At what gain K does the system...
% MATLAB allows root loci to be plotted with the
% rlocus(GH) command, where G(s)H(s) = numgh/dengh and GH is an
LTI transfer-
% function object. Points on the root locus can be selected
interactively
% using [K,p] = rlocfind(GH) command. MATLAB yields gain(K)
at
% that point as well as all other poles(p) that have that gain.
We can zoom
% in and out of root locus by changing range of axis values
using
% command axis([xmin,xmax,ymin,ymax]). root locus...
1- [a] For positive values of K, plot the root locus for a unity negative feedback control system having the following open-loop transfer function: K G(s)= (5 + 1)(8 + 4)(8 + 7) For what values of gain K does the system become unstable? Find also the value of k at which the damping ratio is 0.5 and the closed loop poles. (25%) [b] The characteristic equations of linear control systems are given below. Apply Routh-Hurwitz criterion to determine the...
Can you Solve in matlab please. I need your help
B-7-6. Consider the system shown in Figure 7-59. Plot the root loci for the system. Determine the value of K such that the damping ratio ζ of the dominant closed-loop poles is 05. Then determine all closed-loop poles. Plot the unit-step response curve with MATLAB. s(s2 +4s +5) Figure 7-59 Control system.
B-7-6. Consider the system shown in Figure 7-59. Plot the root loci for the system. Determine the value...
Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer function: (a) [10 marks] K(s 4) (s + 2) is a circle, and find the centre and the radius. Determine the minimum value of the damping ratio and the corresponding value of K (b) The root locus of the open loop transfer function: [10 marks] s(s26s +15) is depicted in Figure Q1(b). Find the minimum value of gain K that will render the system...
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