Suppose that the roll dynamics (from aileron input to roll angle output) can be approximated with a 2nd 1.5 order transfer function of the form Gr(s) = 5²+2.55+1.5' and the IMU transfer function is H,(s) == the following questions: s+3 $+0.2¹ Answer a. What is the closed loop transfer function, if we assume a proportional controller? b. For this system, what are the different ways we can use to find the closed loop poles for all values of gain? c. Sketch the R.L diagram for the system, and answer the following: i. How many open loop poles do we have? How many open loop zeros? ii. How many root-locus branches? How many of those branches end in zeros? How many go to infinity? iii. Where do the asymptotes intercept with the real axis? What are their intercept angles? d. Would this system become unstable for a given controller gain? How can you tell? If you had to calculate the value of this gain, how would you go about it?

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
100%

modeling control problem

1.5
2. Suppose that the roll dynamics (from aileron input to roll angle output) can be approximated with a 2nd
order transfer function of the form Gr(s) = 5²+2.5s+1.5 and the IMU transfer function is H₂(s) = ; Answer
the following questions:
S+3
s+0.2
a. What is the closed loop transfer function, if we assume a proportional controller?
b. For this system, what are the different ways we can use to find the closed loop poles for all values of
gain?
c. Sketch the R.L diagram for the system, and answer the following:
i. How many open loop poles do we have? How many open loop zeros?
ii. How many root-locus branches? How many of those branches end in zeros? How many go to
infinity?
iii. Where do the asymptotes intercept with the real axis? What are their intercept angles?
d. Would this system become unstable for a given controller gain? How can you tell? If you had to
calculate the value of this gain, how would you go about it?
Transcribed Image Text:1.5 2. Suppose that the roll dynamics (from aileron input to roll angle output) can be approximated with a 2nd order transfer function of the form Gr(s) = 5²+2.5s+1.5 and the IMU transfer function is H₂(s) = ; Answer the following questions: S+3 s+0.2 a. What is the closed loop transfer function, if we assume a proportional controller? b. For this system, what are the different ways we can use to find the closed loop poles for all values of gain? c. Sketch the R.L diagram for the system, and answer the following: i. How many open loop poles do we have? How many open loop zeros? ii. How many root-locus branches? How many of those branches end in zeros? How many go to infinity? iii. Where do the asymptotes intercept with the real axis? What are their intercept angles? d. Would this system become unstable for a given controller gain? How can you tell? If you had to calculate the value of this gain, how would you go about it?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 2 images

Blurred answer
Knowledge Booster
Analysis of Multiple Order System and Steady State Error
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
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,