Solution Found!

Control Systems Engineering | 7th Edition | ISBN: 9781118170519 | Authors: Norman J. Nise
Change Question

For the system shown in Figure P8.11, do the following:

Chapter 8, Problem 38

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

For the system shown in Figure P8.11, do the following: [Section: 8.7]

a. Sketch the root locus.

b. Find the jo-axis crossing and the gain, K, at the crossing.

c. Find the real-axis breakaway to two-decimal-place accuracy.

d. Find angles of arrival to the complex zeros.

e. Find the closed-loop zeros.

f. Find the gain, K, for a closed-loop step response with 30% overshoot.

g. Discuss the validity of your second-order approximation.

Questions & Answers

QUESTION:

For the system shown in Figure P8.11, do the following: [Section: 8.7]

a. Sketch the root locus.

b. Find the jo-axis crossing and the gain, K, at the crossing.

c. Find the real-axis breakaway to two-decimal-place accuracy.

d. Find angles of arrival to the complex zeros.

e. Find the closed-loop zeros.

f. Find the gain, K, for a closed-loop step response with 30% overshoot.

g. Discuss the validity of your second-order approximation.

ANSWER:

Step 1 of 2

Root locus is defined as the locus of closed loop poles obtained when system gain is varied from to . To check whether the point lies on the root locus or not we need two conditions: angle condition, magnitude condition. Angle condition is used for checking whether certain points lie on root locus or not and hence, the validity of root locus or closed loop poles.

Add to cart

Study Tools You Might Need

Chapter: Problem: 9.1

Chemistry: The Central Science 13
A certain AB4 molecule has a seesaw shape: From which of the fundamental geometries shown in Figure 9.3 could you remove one or more atoms to create a molecule having this seesaw shape? [Section 9.1]

Chapter: 5 Problem: 11P

Physics: Principles with Applications 7
How many revolutions per minute would a 25-mdiameter Ferris wheel need to make for the passengers to feel weightless at the topmost point?

Chapter: Problem: 1

Myers' Psychology for AP 2
A test-developer defines uniform testing procedures and meaningful scores by comparison with the performance of a pretested group. Which of the following best describes this process? a. Reliability testing b. Validation c. Content validation d. Standardization e. Predictive validity

Chapter: Problem: 100

Physics for Scientists and Engineers, 6
A woman throws a ball at a vertical wall 4.0 m away (Figure 3-40). The ball is 2.0 m above ground when it leaves the womans hand with an initial velocity of 14 m/s at 45, as shown. When the ball hits the wall, the horizontal component of its velocity is reversed; the vertical component remains uncha

Chapter: 15 Problem: 15.53

Organic Chemistry 3
(a) Draw all stereoisomers of molecular formula C7H15Cl formed when (3S)-3-methylhexane is heated with Cl2. (b) Assuming that products having different physical properties can be separated by fractional distillation, how many different fractions would be obtained? (c) How many fractions would be opti

Chapter: 4 Problem: 10

An Introduction to the History of Psychology 7
What is deism?

Chapter: 18 Problem: 1

Human Physiology: From Cells to Systems 9
Define tropic hormone.

Chapter: 14 Problem: 3

Essentials of Understanding Psychology 11
Which of the following techniques asks a person to comply with a small initial request to enhance the likelihood that the person will later comply with a larger request? a. Door-in-the-face b. Foot-in-the-door c. Thats-not-all d. Not-so-free sample

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back