Pre-Lab Reading The block diagram of the closed-loop system for control of motor position is shown in the figure. Motor 1 Iy=e 1 PID S+ DC Motor PID position control closed-loop block diagram with set point weight bsp 1 The two-degree of freedom PID compensator with set point weighting is u) ( () y(t)) + r(T)y(T) dtk (t) 6.4.1] sd 41-. ..
Pre-Lab Reading The block diagram of the closed-loop system for control of motor position is shown in the figure. Motor 1 Iy=e 1 PID S+ DC Motor PID position control closed-loop block diagram with set point weight bsp 1 The two-degree of freedom PID compensator with set point weighting is u) ( () y(t)) + r(T)y(T) dtk (t) 6.4.1] sd 41-. ..
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.4P
Related questions
Question
- Derive the plant transfer function, , for the DC motor position system in terms of the motor gain constant, K, and the time constant, τ.
- Consider PD-Control with set-point weighting by setting ki = 0 in Equation 6.4.1. Determine the closed-loop transfer function from the position reference, r, to the angular position output, θ in radians, i.e., Y(s)/R(s), in terms of K, τ, bsp, kp and kd.
- Determine kp and kd in terms of the closed-loop natural frequency, ωn, damping ratio, ζ, motor time constant, τ, and motor gain constant, K.
- Determine the steady-state error to a unit step input. Given bsp = 1, determine the DC Gain of the closed-loop motor position system.
![Pre-Lab Reading
The block diagram of the closed-loop system for control of motor position is shown in the figure.
Motor
1
Iy=e
1
PID
S+
DC Motor PID position control closed-loop block diagram with set point weight bsp 1
The two-degree of freedom PID compensator with set point weighting is
u) ( () y(t)) +
r(T)y(T) dtk
(t)
6.4.1]
sd
41-.
..](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12c18db6-f6e8-4129-b933-2f1b3972f7de%2F72132f70-8e79-4f84-80b7-75130524708b%2Fesgtjm4.png&w=3840&q=75)
Transcribed Image Text:Pre-Lab Reading
The block diagram of the closed-loop system for control of motor position is shown in the figure.
Motor
1
Iy=e
1
PID
S+
DC Motor PID position control closed-loop block diagram with set point weight bsp 1
The two-degree of freedom PID compensator with set point weighting is
u) ( () y(t)) +
r(T)y(T) dtk
(t)
6.4.1]
sd
41-.
..
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