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?
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...
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