For the following control system, apply the Root Locus techniques to design a PD compensator so that the settling time is 0.5 seconds and the system operates at 18% overshoot. Controller Plant R(s) + E(s) HD K Gc(s) 1 $3+20s²+75s C(s) The root locus of the uncompensated system operating at 18%OS is shown below. QUESTIONS: Uncompensated system: a) Find the coordinates of the dominant poles for which the system operates at 18% OS b) Find the Gain to have 18% OS c) Find the settling time of the uncompensated system d) Find the angle q (cos q = z) Design of the Compensator: e) Find the position of the Desired Pole to have Ts = 0.5 second and continue having 18% OS f) Use trigonometry to find the angle and position of the compensator, this find qZc and Zc g) Give the transfer function of the compensator Root Locus

For the following control system, apply the Root Locus techniques to design a PD compensator so that the settling time is 0.5 seconds and the system operates at 18% overshoot. Controller Plant R(s) + E(s) HD K Gc(s) 1 $3+20s²+75s C(s) The root locus of the uncompensated system operating at 18%OS is shown below. QUESTIONS: Uncompensated system: a) Find the coordinates of the dominant poles for which the system operates at 18% OS b) Find the Gain to have 18% OS c) Find the settling time of the uncompensated system d) Find the angle q (cos q = z) Design of the Compensator: e) Find the position of the Desired Pole to have Ts = 0.5 second and continue having 18% OS f) Use trigonometry to find the angle and position of the compensator, this find qZc and Zc g) Give the transfer function of the compensator Root Locus

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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