The temperature of an 11 m2 room is controlled by changing the power of the radiator. Open loop transfer function of radiator in the room is (1 × 10-6)s² + (1.314 × 10-9)s + (2.66 × 10-13) T(s) G(s) = Q(s) s³ + 0.00163s² + (5.272 × 10-7)s + (3.538 x 10-11) and the closed loop view of the system is as shown in the Figure below. (a) calculate the system stationary state error for step input. (b) is it possible to design a PI controller with Zero static state error to step input without changing the transient phase response much? Why? (c) form a Zero static state error to step input without changing the transient phase response Gc(s)=K(s+z) / s much in the form PI controller.

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
Question

The question is in the Attachment

The temperature of an 11 m2 room is controlled by changing the power of the radiator. Open loop
transfer function of radiator in the room is
T(s)
G(s) =
Q(s)
(1 × 10-6)s² + (1.314 × 10-9)s + (2.66 × 10-13)
s³ + 0.00163s² + (5.272 × 10-7)s + (3.538 × 10-11)
and the closed loop view of the system is as shown in the Figure below.
(a) calculate the system stationary state error for step input.
(b) is it possible to design a PI controller with Zero static state error to step input without changing
the transient phase response much? Why?
(c) form a Zero static state error to step input without changing the transient phase response
Gc(s)=K(s+z) / s
much in the form PI controller.
R(s) +
E(s)
C(s)
G(s)
Transcribed Image Text:The temperature of an 11 m2 room is controlled by changing the power of the radiator. Open loop transfer function of radiator in the room is T(s) G(s) = Q(s) (1 × 10-6)s² + (1.314 × 10-9)s + (2.66 × 10-13) s³ + 0.00163s² + (5.272 × 10-7)s + (3.538 × 10-11) and the closed loop view of the system is as shown in the Figure below. (a) calculate the system stationary state error for step input. (b) is it possible to design a PI controller with Zero static state error to step input without changing the transient phase response much? Why? (c) form a Zero static state error to step input without changing the transient phase response Gc(s)=K(s+z) / s much in the form PI controller. R(s) + E(s) C(s) G(s)
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Magnetically Coupled Circuit
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,