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Looking for some help; the solution to the problem with
explanations for each step will be...
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...
For the following system s+1 R(9) "0_*(*1) R(S) s2 + 64 s2 (32 +81) YM Y(S)...
For the following system s+1 R(9) "0_*(*1) R(S) s2 + 64 s2 (32 +81) YM Y(S) S +11 (a) Plot the locus of closed-loop roots with respect to K. (b) Is there a value of K that will cause all complex pairs of closed-loop poles to have a damping ratio greater than 0.5? (c) Find the smallest value of K that yield at least one complex pair of closed-loop poles with the damping ratio 5 = 0.707. (d) Use Matlab...
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...
% 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...
design this compensator using root locus? note: answer using root locus 1- Consider a system with the following...
design this compensator using root locus?
note: answer using root locus
1- Consider a system with the following open loop Transfer Function: G(s)--10 s(s2 + 10s + 16) Design a compensator to obtain a damping ratio-0.5 and a natural frequency n6 rad/sec. (8 marks) We were unable to transcribe this image
1- Consider a system with the following open loop Transfer Function: G(s)--10 s(s2 + 10s + 16) Design a compensator to obtain a damping ratio-0.5 and a natural frequency...
Control System 3) Consider the simplified form of the transfer function for position servomechanism used in an antenna tracking system as shown in Figure Q3. By using root locus technique: Error Els)...
Control System
3) Consider the simplified form of the transfer function for position servomechanism used in an antenna tracking system as shown in Figure Q3. By using root locus technique: Error Els) C(s) R(s)+ s2 +4S +5 2.56S +12.8 Figure Q3 (a) Sketch its root locus (11 marks) (b) Find the value of K so that the damping ratio 0.342, and give all closed loop poles for the value of K. (9 marks)
3) Consider the simplified form of the...
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.
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...
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...
Please be specific about the root locus and Matlab code. Problem 2 For the feedback system...
Please be specific about the root locus and Matlab code.
Problem 2 For the feedback system shown in the diagram below, use the root locus design method to find the value of the gain K that results in dominant closed-loop poles with a damping ratio Ç-0.5- Verify your solution with Matlab, and attach the plotted solution.
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...
For the following system s+1 R(9) "0_*(*1) R(S) s2 + 64 s2 (32 +81) YM Y(S) S +11 (a) Plot the locus of closed-loop roots with respect to K. (b) Is there a value of K that will cause all complex pairs of closed-loop poles to have a damping ratio greater than 0.5? (c) Find the smallest value of K that yield at least one complex pair of closed-loop poles with the damping ratio 5 = 0.707. (d) Use Matlab...
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...
% 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...
design this compensator using root locus?
note: answer using root locus
1- Consider a system with the following open loop Transfer Function: G(s)--10 s(s2 + 10s + 16) Design a compensator to obtain a damping ratio-0.5 and a natural frequency n6 rad/sec. (8 marks) We were unable to transcribe this image
1- Consider a system with the following open loop Transfer Function: G(s)--10 s(s2 + 10s + 16) Design a compensator to obtain a damping ratio-0.5 and a natural frequency...
Control System
3) Consider the simplified form of the transfer function for position servomechanism used in an antenna tracking system as shown in Figure Q3. By using root locus technique: Error Els) C(s) R(s)+ s2 +4S +5 2.56S +12.8 Figure Q3 (a) Sketch its root locus (11 marks) (b) Find the value of K so that the damping ratio 0.342, and give all closed loop poles for the value of K. (9 marks)
3) Consider the simplified form of the...
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...
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...
Please be specific about the root locus and Matlab code.
Problem 2 For the feedback system shown in the diagram below, use the root locus design method to find the value of the gain K that results in dominant closed-loop poles with a damping ratio Ç-0.5- Verify your solution with Matlab, and attach the plotted solution.
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