1. The block diagram of a water tank level control system is shown in Figure 1 Integrator Gaint Gain2 Step Gain Figure 1 Show that the transfer function relating the output to the input is given by G(s) = K 1+ TS and determine K and T. (b) Determine an expression for the step response of the system, and hence, determine the time taken for the output to reach half the steady-state output, when the input is subject to a step change. output

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...
icon
Related questions
icon
Concept explainers
Question

Can you do part b please 

1. The block diagram of a water tank level control system is shown in Figure 1
Integrator
Gaint
Step
Gain2
Gain
Figure 1
(a)
Show that the transfer function relating the output to the input is given by
G(s) =
K
1+ rs
and determine K and r.
(b)
Determine an expression for the step response of the system, and hence,
determine the time taken for the output to reach half the steady-state output,
when the input is subject to a step change.
A control system designed to regulate the temperature of an airflow comprises of a controller,
K(s), a heater, H(s), and a sensor, P(s), having the transfer functions:
10
H(s) = 5+4 P(s) = s+10
arranged as shown in Figure 2
K(s
H(s
2
P(s
output
Transcribed Image Text:1. The block diagram of a water tank level control system is shown in Figure 1 Integrator Gaint Step Gain2 Gain Figure 1 (a) Show that the transfer function relating the output to the input is given by G(s) = K 1+ rs and determine K and r. (b) Determine an expression for the step response of the system, and hence, determine the time taken for the output to reach half the steady-state output, when the input is subject to a step change. A control system designed to regulate the temperature of an airflow comprises of a controller, K(s), a heater, H(s), and a sensor, P(s), having the transfer functions: 10 H(s) = 5+4 P(s) = s+10 arranged as shown in Figure 2 K(s H(s 2 P(s output
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Protection System in Power Plant
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,