Question

Use MATLAB to plot the root locus for the system

Next > < Previous

Sort answers by oldest

• Votes
• Oldest
• Newest

Homework Answers

Answer #1

Hello user,

The given euqation is 22+(0.2+k)z +6k+2 0 2+0.2c + 2 + k(z + 6) = 0 (z+6) (2+0.2z+2) So we have G(s) given by (z+6) G(s) = (2+0.22+2)

Root Locus 8 0.91 0.84 0.74 0.56 03 0.9%8 4 8 0.99,5 20 10 2 D 0.995 4 0.98 6 0.91 0.84 0.74 0.56 03 0:955 25 8 20 0 0 5 Real Axis (seconds')

The above is obtained by command

rlocus([1,6],[1,0.2,2])

From root locus we can say that system is stable for Freq < 12.1 rad/sec

Please let me know if you have any doubts

Know the answer?

Add Answer to:

Use MATLAB to plot the root locus for the system

Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Log In

Sign Up

Post as anonymous

Post Your Answer

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.

Similar Homework Help Questions

• 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...

• 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...

• 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...

• 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()...

• 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.

• 7. Use MATLAB root locus to analyze the system on the right. Marks 10 Show that...

  7. Use MATLAB root locus to analyze the system on the right. Marks 10 Show that the system is unstable for all values of K. Add a zero at s =-1, and show that this stabilizes the system. With the additional zero, determine the value of K such that the dominate pair of complex poles of the system has a damping ration of 0.5. Use Simulink to determine the step function of the uncompensated system. Use Simulink to determine the...

• 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...

• 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)

• 2. Draw root locus plot for a system with following loop transfer function. Is the system always ...

  2. Draw root locus plot for a system with following loop transfer function. Is the system always stable? Give reasons. (2X(10+2.5)-25 points) 2 1 2. Draw root locus plot for a system with following loop transfer function. Is the system always stable? Give reasons. (2X(10+2.5)-25 points) 2 1

• Sketch the root-locus plot of a unity feedback system. Determine the asymptotes of the root loci....

  Sketch the root-locus plot of a unity feedback system. Determine the asymptotes of the root loci. Find the points where root loci cross the imaginary axis and the value of at the crossing points. Find the breakaway point. K(s+9) G(s) =- H(S)=1 s(s+2) (s+5)

Answer 1

Hello user,

The given euqation is 22+(0.2+k)z +6k+2 0 2+0.2c + 2 + k(z + 6) = 0 (z+6) (2+0.2z+2) So we have G(s) given by (z+6) G(s) = (2+0.22+2)

Root Locus 8 0.91 0.84 0.74 0.56 03 0.9%8 4 8 0.99,5 20 10 2 D 0.995 4 0.98 6 0.91 0.84 0.74 0.56 03 0:955 25 8 20 0 0 5 Real Axis (seconds')

The above is obtained by command

rlocus([1,6],[1,0.2,2])

From root locus we can say that system is stable for Freq < 12.1 rad/sec

Please let me know if you have any doubts