Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
. Figure Ql shows a block diagram of the positioning control system of the Hubble space telescope. Given that K = 100 and K1 = 12, derive the closed loop transfer functions relating angular position C(s) to both the commanded input R(s) and a general disturbance D(s). Determine the response of the telescope (1) to a unit step input in R(s). Hence deduce the telescope's response to a unit step disturbance D(s). D(s) R(s) C(s) K KI Figure QI.

. Figure Ql shows a block diagram of the positioning control system of the Hubble space telescope. Given that K = 100 and K1 = 12, derive the closed loop transfer functions relating angular position C(s) to both the commanded input R(s) and a general disturbance D(s). Determine the response of the telescope (1) to a unit step input in R(s). Hence deduce the telescope's response to a unit step disturbance D(s). D(s) R(s) C(s) K KI Figure QI.

Introductory Circuit Analysis (13th Edition)
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
icon
Related questions
Question
1. Figure Q1 shows a block diagram of the positioning control system of the Hubble space telescope. Given that K = 100 and K1 = 12, derive the closed loop transfer functions relating angular position C(s) to both the commanded input R(s) and a general disturbance D(s). Determine the response of the telescope c(t) to a unit step input in R(s). Hence deduce the telescope's response to a unit step disturbance D(s). D(s) R(s) C(s) K s2 Figure Q1. 2. The ailerons of a large airliner are positioned through an angle da by servo actuators which respond to the pilot's lateral stick displacement y, Figure Q2. Derive the closed loop transfer function of relating the aileron displacement to the pilot's stick motions. system y(s) 8«(8) 1 0.1s + 1 Figure Q2. 3. Figure Q3 shows the block diagram of an electric locomotive motor where wd is the desired angular velocity of motor as set by the driver whilst w is the actual angular velocity achieved. The block G2(s) represents the load transfer function (i.e. the locomotive) whilst G,(s) is the armature controller transfer function. The locomotive motor can experience torque disturbances due to braking, given by Ta(s). Derive the transfer functions relating output angular velocity to desired angular velocity, and output angular velocity to torque disturbance, T given 10 G|(s) = 1 G2(s) = s+ 1 2s + 0.5 Ta(s) wa(s) w(s) 540 G|(s) G2(s) 0.1 Figure Q3.
Transcribed Image Text:1. Figure Q1 shows a block diagram of the positioning control system of the Hubble space telescope. Given that K = 100 and K1 = 12, derive the closed loop transfer functions relating angular position C(s) to both the commanded input R(s) and a general disturbance D(s). Determine the response of the telescope c(t) to a unit step input in R(s). Hence deduce the telescope's response to a unit step disturbance D(s). D(s) R(s) C(s) K s2 Figure Q1. 2. The ailerons of a large airliner are positioned through an angle da by servo actuators which respond to the pilot's lateral stick displacement y, Figure Q2. Derive the closed loop transfer function of relating the aileron displacement to the pilot's stick motions. system y(s) 8«(8) 1 0.1s + 1 Figure Q2. 3. Figure Q3 shows the block diagram of an electric locomotive motor where wd is the desired angular velocity of motor as set by the driver whilst w is the actual angular velocity achieved. The block G2(s) represents the load transfer function (i.e. the locomotive) whilst G,(s) is the armature controller transfer function. The locomotive motor can experience torque disturbances due to braking, given by Ta(s). Derive the transfer functions relating output angular velocity to desired angular velocity, and output angular velocity to torque disturbance, T given 10 G|(s) = 1 G2(s) = s+ 1 2s + 0.5 Ta(s) wa(s) w(s) 540 G|(s) G2(s) 0.1 Figure Q3.
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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.
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,
SEE MORE TEXTBOOKS