Homework Answers
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%Transfer Function
% Hs = (175.s + 40000) / (0.8.s^4 + 0.987.s^3 + 1475.6.s^2 + 175.s
+ 40000)
% Hs = (0.s^4 + 0.s^3 + 0.s^2 + 175.s + 40000) / (0.8.s^4 +
0.987.s^3 + 1475.6.s^2 + 175.s + 40000)
h = tf([0 0 0 175 40000],[0.8 0.987 1475.6 175 40000]);
rlocus(h);
title('Root Locus of Hs = (175.s + 40000) / (0.8.s^4 + 0.987.s^3 +
1475.6.s^2 + 175.s + 40000)');
Add Answer to:
Root Locus of the function without using matlab simulation (175s + 40000) Y (s) U(s) (0.8s40.987s3 1475.6s2 + 175s...
Given the transfer function 4. G(s)H(s) - (s + 8) (s +6s + 13) (a) Sketch the root locus plot using Matlab. (b) Estimate the system gain when the damping ratio is 7 0.707 (c) Add a simple pole, (s...
Given the transfer function 4. G(s)H(s) - (s + 8) (s +6s + 13) (a) Sketch the root locus plot using Matlab. (b) Estimate the system gain when the damping ratio is 7 0.707 (c) Add a simple pole, (s 2), to G (s)H (s) and examine the resulting root locus (d) Add a simple zero, (s +2), to G(s)H(s) and examine the resulting root locus
Given the transfer function 4. G(s)H(s) - (s + 8) (s +6s + 13)...
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...
create a class name tennisGame Problem 1: Sketch by hand the root locus of the following...
create a class name tennisGame
Problem 1: Sketch by hand the root locus of the following closed-loop systems. Students are welcome to verify their results by using Matlab function rlocus0. But they should hand-sketch the root locus without copying the Matlab figure. . Label the directions of the trajectories. . Label the names of the real-axis break-in/break-away point and ja-axis crossings, if applicable. Find the asymptotes, if applicable. System Root Locus s-6 S+ 2 (s + 2)(6 +3) s2-4s 5...
Problem 2: Sketching a root locus plot The bank angle controller for an airplane is given...
Problem 2: Sketching a root locus plot The bank angle controller for an airplane is given below. R(s) + (+14(s+10) L(s) (a) Use Rules 1-5 to sketch the positive root locus (K20) for this feedback system. Show all your work. You can use the MATLAB function roots () to find the roots of polynomials. To define a complex number s- a tjb in MATLAB, type s- a+ j*b - - (b) Plot the root locus in MATLAB using the rlocus()...
Y(s) s216 s 128 (s212 s 52) (s +1) (s + 4) (s +8) R(s) For the given system above, Sketch the root locus. Procedures Sh...
Y(s) s216 s 128 (s212 s 52) (s +1) (s + 4) (s +8) R(s) For the given system above, Sketch the root locus. Procedures Show all the steps of calculation manually Show the imaginary axis intersection points if they exist Show the break away and entry points if they exist. Show the departure and arrival angles if they exist Check by MATLAB the root locus sketch Use MATLAB to simplify your calculations o +
Y(s) s216 s 128 (s212...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain K as a variable s(s+4) (s2+4s+20)' Determine asymptotes, centroid,, breakaway point, angle of departure, and the gain at which root locus crosses jw -axis.
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain...
Use MATLAB to plot the root locus for the system
Use MATLAB to plot the root locus for the system
3. Use MATLAB to plot the root locus of S +4 s 6s +13 H(s)1 Provide the commands you used and a c...
3. Use MATLAB to plot the root locus of S +4 s 6s +13 H(s)1 Provide the commands you used and a copy of root locus figure. Also calculate the angles that the root locus leaves the complex poles. Use sgrid to plot lines of 0.7,0.8,0.9, and 0.99 and wn circles of 2,4, and 6. Provide command and plot of root locus with sgrid. Click on the root locus to determine the gain (K) where ζ-0.9 and ζ-0.99 intersect the...
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...
Note: Please draw the Root Locus plots using Rules and verify your results with Matlab Commands....
Note: Please draw the Root Locus plots using Rules and verify your results with Matlab Commands. Enclose both plots. For the unity feedback system, with the following transfer functions (as shown in problems 1 through 4), sketch the Root- Locus plot and find the following: (a) The break-away and break-in points (b) The jw-axis crossing (c) The angle of departures / arrivals at complex poles and zeros. (d) The range of the gain K, to keep the system stable. Problem...
Given the transfer function 4. G(s)H(s) - (s + 8) (s +6s + 13) (a) Sketch the root locus plot using Matlab. (b) Estimate the system gain when the damping ratio is 7 0.707 (c) Add a simple pole, (s 2), to G (s)H (s) and examine the resulting root locus (d) Add a simple zero, (s +2), to G(s)H(s) and examine the resulting root locus
Given the transfer function 4. G(s)H(s) - (s + 8) (s +6s + 13)...
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...
create a class name tennisGame
Problem 1: Sketch by hand the root locus of the following closed-loop systems. Students are welcome to verify their results by using Matlab function rlocus0. But they should hand-sketch the root locus without copying the Matlab figure. . Label the directions of the trajectories. . Label the names of the real-axis break-in/break-away point and ja-axis crossings, if applicable. Find the asymptotes, if applicable. System Root Locus s-6 S+ 2 (s + 2)(6 +3) s2-4s 5...
Problem 2: Sketching a root locus plot The bank angle controller for an airplane is given below. R(s) + (+14(s+10) L(s) (a) Use Rules 1-5 to sketch the positive root locus (K20) for this feedback system. Show all your work. You can use the MATLAB function roots () to find the roots of polynomials. To define a complex number s- a tjb in MATLAB, type s- a+ j*b - - (b) Plot the root locus in MATLAB using the rlocus()...
Y(s) s216 s 128 (s212 s 52) (s +1) (s + 4) (s +8) R(s) For the given system above, Sketch the root locus. Procedures Show all the steps of calculation manually Show the imaginary axis intersection points if they exist Show the break away and entry points if they exist. Show the departure and arrival angles if they exist Check by MATLAB the root locus sketch Use MATLAB to simplify your calculations o +
Y(s) s216 s 128 (s212...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain K as a variable s(s+4) (s2+4s+20)' Determine asymptotes, centroid,, breakaway point, angle of departure, and the gain at which root locus crosses jw -axis.
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain...
3. Use MATLAB to plot the root locus of S +4 s 6s +13 H(s)1 Provide the commands you used and a copy of root locus figure. Also calculate the angles that the root locus leaves the complex poles. Use sgrid to plot lines of 0.7,0.8,0.9, and 0.99 and wn circles of 2,4, and 6. Provide command and plot of root locus with sgrid. Click on the root locus to determine the gain (K) where ζ-0.9 and ζ-0.99 intersect the...
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...
Note: Please draw the Root Locus plots using Rules and verify your results with Matlab Commands. Enclose both plots. For the unity feedback system, with the following transfer functions (as shown in problems 1 through 4), sketch the Root- Locus plot and find the following: (a) The break-away and break-in points (b) The jw-axis crossing (c) The angle of departures / arrivals at complex poles and zeros. (d) The range of the gain K, to keep the system stable. Problem...
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