5. Figure 05 shows the block diagram of a satellite attitude control system. The reference attitude is 6R whilst the actual attitude is denoted by Oc. The satellite has a moment of inertia of J about its axis of rotation whilst K and K, are control system gains. The control system also acts to eliminate unwanted rotations due to a disturbance torque D. a) Derive the transfer function relating actual attitude to reference attitude, b) Derive the transfer function relating actual attitude to disturbance "(3) Control 3 Section 2 Tutorial: Basics of Control System Analysis c) A reference input consisting of a step change of 5° attitude is applied at the same instant that the satellite experiences a disturbance equivalent to a step change of 50 Nm. Given the data below derive an expression for the satellite's attitude 0(1) due to these inputs. J = 25 kg m2 K = 500 Nm/rad K, = 100 Nms/rad D(s) OR(s) Oc(s) K Js K, Figure Q5.

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
Dynamics & Control 3 Degree Exam September 1999
5. Figure Q5 shows the block diagram of a satellite attitude control system. The reference attitude is 6R
whilst the actual attitude is denoted by 0c. The satellite has a moment of inertia of J about its axis of
rotation whilst K and K, are control system gains. The control system also acts to eliminate unwanted
rotations due to a disturbance torque D.
a) Derive the transfer function relating actual attitude to reference attitude, )
b) Derive the transfer function relating actual attitude to disturbance,
DS)
Control 3
Section 2 Tutorial: Basics of Control System Analysis
c) A reference input consisting of a step change of 5° attitude is applied at the same instant that the
satellite experiences a disturbance equivalent to a step change of 50 Nm. Given the data below derive
an expression for the satellite's attitude 0(1) due to these inputs.
J = 25 kg m?
K = 500 Nm/rad
K, = 100 Nms/rad
D(s)
OR(S)
Oc(s)
K
Js
Ky
Figure Q5.
Transcribed Image Text:Dynamics & Control 3 Degree Exam September 1999 5. Figure Q5 shows the block diagram of a satellite attitude control system. The reference attitude is 6R whilst the actual attitude is denoted by 0c. The satellite has a moment of inertia of J about its axis of rotation whilst K and K, are control system gains. The control system also acts to eliminate unwanted rotations due to a disturbance torque D. a) Derive the transfer function relating actual attitude to reference attitude, ) b) Derive the transfer function relating actual attitude to disturbance, DS) Control 3 Section 2 Tutorial: Basics of Control System Analysis c) A reference input consisting of a step change of 5° attitude is applied at the same instant that the satellite experiences a disturbance equivalent to a step change of 50 Nm. Given the data below derive an expression for the satellite's attitude 0(1) due to these inputs. J = 25 kg m? K = 500 Nm/rad K, = 100 Nms/rad D(s) OR(S) Oc(s) K Js Ky Figure Q5.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 1 images

Blurred answer
Knowledge Booster
Mathematical Modeling of Mechanical System
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,