Prob. 3-25 points For this problem, use the root locus features to solve all parts: comp For: comp = a proportional controller = a positive gain Kp and z (z-1)/(z2 + 16) sys a) Draw a rough sket...
2. Consider the closed-loop system shown below Here Kp represents the gain of a proportional controller, and the process transfer function is given by . (a) Sketch the locus of the closed-loop poles as the proportional gain, Kp, varies from 0 to ∞. Be sure to clearly mark poles, zeros, asymptotes, angles of arrival/departure, break-in/away points, and real axis portion of the locus. (b) Using Routh's array, determine the range of the proportional gain, Kp, for which the closed-loop system...
Problem 3: (30) Consider the following systen where K is a proportional gain (K>0). s-2 (a) Sketch the root locus using the below procedures. (1) find poles and zeros and locate on complex domain (2) find number of branches (3) find asymptotes including centroid and angles of asymptotes (4) intersection at imaginary axis (5) find the angle of departure (6) draw the root migration (b) Find the range of K for which the feedback system is asymptotically stable. Problem 3:...
Question 1 (60 points) Consider the following block diagram where G(s)- Controller R(s) G(s) (a) Sketch the root locus assuming a proportional controller is used. [25 points] (b) Design specifications require a closed-loop pole at (-3+j1). Design a lead compensator to make sure the root locus goes through this point. For the design, pick the pole of the compensator at-23 and analytically find its zero. (Hint: Lead compensator transfer function will be Ge (s)$+23 First plot the poles and zeros...