In problem #6 of Hwu3 you plotted manually the root locus of the given systern in...
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()...
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...
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...
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.
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...
Plot the root locus for the following systems where the given transfer function is located in a unit negative feedback system, i.e., the characteristic equation is 1+KG(s)-0. Where applic- able, the plot should indicate the large gain asymptotes, the angle of departure from complex poles, the angle of arrival at complex zeros, and breakaway points. Verify your answer using MAT- LAB (rlocus" command) and show the results obtained from MATLAB. (s +4) a) Ge)(s+2(s+1+ j4)s+1-4) b) G(s)= s(s+2(s2 2s +2)...
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...
Problem 2 (25 Pts,) Root locus: A proportional only action is controlling a plant with unity feedback. The plant transfer function is: 6 G)+ G+2)(6 +3) a. Draw the poles of G (s) in below figure b. How many asymptotes does the root locus plot of the above transfer function has? c. What angles do the asymptotes make with the positive real axis in the s plane? d. At what point do the asymptotes intersect on the real axis? e....
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)
No need to sketch the root locus. Please just answer the Kp stability range question for the system given in Figure 1 for both Gp(s) equations. **Note: Numerator of eq.3 should say s^2+2*s+2 R(s) _ Y(S) O KP Figure 1: Generic block diagram. 2. Given the block diagram in Figure 1, (a) Sketch the Root Locus When, (a) 52+2+2 Gp(s) = (52 – 11s+24)(52+75) and (b) 5-9 (5-3) (s2 – 65+5) (s2 +2s - 8) Assuming K, > 0, are...