Q3) The following block diagram depicts a feedback control system of a DC motor where the signal F(s) denotes the setpoint, ē(s) is the error, ū(s) is the controller output and y(s) is the motor position output. The controller and the motor transfer functions are given by K C(s) = K, + sKa and G(s) = s(Ts + 1) F(s) + (s)2 C(s) ū(s) G(s) y(s) Figure Q3 a) Show that the transfer function between the signals F(s) and y(s) is given by K(K, + sKa) Ts² + s(1 + KKq) + KK, Gry (s) = b) Using the result in a) and equating it to the standard second order transfer function Gry (s): s² + 23@ns + w Show that the controller parameters are given by K, 2T7wn – 1 Ka K K c) The feedback system requires the transient response to have a settling time of approximately 1 second and a maximum percent overshoot of 5%. Given the motor transfer function parameters K = 20 and T = 0.1. Calculate the controller parameter values K, and Ka that achieve these requirements.

Q3) The following block diagram depicts a feedback control system of a DC motor where the signal F(s) denotes the setpoint, ē(s) is the error, ū(s) is the controller output and y(s) is the motor position output. The controller and the motor transfer functions are given by K C(s) = K, + sKa and G(s) = s(Ts + 1) F(s) + (s)2 C(s) ū(s) G(s) y(s) Figure Q3 a) Show that the transfer function between the signals F(s) and y(s) is given by K(K, + sKa) Ts² + s(1 + KKq) + KK, Gry (s) = b) Using the result in a) and equating it to the standard second order transfer function Gry (s): s² + 23@ns + w Show that the controller parameters are given by K, 2T7wn – 1 Ka K K c) The feedback system requires the transient response to have a settling time of approximately 1 second and a maximum percent overshoot of 5%. Given the motor transfer function parameters K = 20 and T = 0.1. Calculate the controller parameter values K, and Ka that achieve these requirements.

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...

See similar textbooks

Similar questions

Please give step by step to solve these type of question
Explain the feedback and feedforward control systems in detail by drawing process examples.
3. A factory's separately excited DC generator has an armature resistance of 0.252. The machine is driven at 1000 revolutions per minute giving the following data: E,[V] I[A] a) Plot the open circuit characteristic when the machine is driven at 1000 and at 1500 rev/min. b) If the machine is drive at 1500 rev/min and its field current is adjusted to 0.2 A, plot the output voltage (in the same axis with (a)) as the load current is varied from 0 to 40A. For a full load current of 40A, what is the voltage regulation? 5 28 75 112 132 150 0.1 0.3 0.5 0.7 0.9
Control Systems
33
Question 2Describe the following feedback control system in terms of simple block diagrams:a. DC motor position control systemb. Antenna Control systemFor each system, indicate the location of the following elements and mention the unitsassociated with each parameters The process The desired output signal Sensor Actuator Controller Controller output Reference Error
I need help on this asap:
A) Sketch the P&ID for the system after adding the feedforward and feedback controllers. B) Draw a block diagram for the system in (A) C) Design the feedforward controller. D) No calculations are required: is the feedback control loop stable? E) What is the purpose of having the feedback control, in addition to the feedforward control? Ti, F Feed T, F Product heating stream Figure 3
USE DIGITAL LOGIC AND DESIGN
Q2:A common actuator in control systems is the DC motor, determine the transfer function of the armature-controlled DC motor system described below. Represent the transfer function in terms of the input voltage (V) and the output angular velocity 0. Where T = Ki and e = Kė. Suter winding Angk Bearings R Bruss Armature P circuit Rotor Fixed field
I need a comparison between an Open Loop, Feedforward and Feedback control systems. If you can also use a table with numerical values to compare them in addition to theoretical would be appreciated. Thanks in advance!
Differentiate the poles and zeros on a first-degree order system and on a second-degree order system in feedback control system.