ENME 462Vibrations, Controls and Optimization IISpring 2010Homework 7Page 1 of 1Dr. S BergbreiterHomework 7: Design via Root LocusDue Wednesday, April 7 by 5pm in drop box outside 2170 Martin*Include your name, section and the date on each assignment and draw a box around your answer!Include your hours spent on this homework in the upper right hand corner1.Problem 8.37 in Nise (Control Systems Engineering, 5thEdition).2.A feedback system to control the speed of a DC motor is provided below with the DC motor transferfunction (voltage input, speed output).()()tetKJsbLsR KKcGKt= Ke= 0.01 Nm/A, J = 0.01 kgm2/s2, b = 0.1 Nms, L = 0.5 H, R = 1a.Roughly sketch the root locus for a simple proportional controller (Gc= Kp).b.Find a gain Kpresulting in a closed loop step response with an overshoot of 5%.c.Find a location for closed loop poles on the s‐plane that will satisfy the closed loop stepresponse constraints of overshoot = 5% and settling time < 0.5s. Is this point on the root locusyou drew in part a?
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Root Locus, Control Systems Engineering, loop step response