Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 13, Problem 10RQ
In order to find the z-transform of a G(s), what must be true of the input and the output?
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Find the inverse Laplace transform L-¹{F(s)} of the function
L-¹{F(s)}
F(s)
=
=
NOTE: The answer should be a function of t.
2
s² + 3s 4
M
X(1)
3. Find the state transition matrix of the system i = Ax, where A = o
a) Using the infinite series expansion of et.
b) Using the inverse Laplace transform of (sl - A)-1.
ele
4 Problem
Find the Laplace transform fraction for the following function and rearrange it such that X(s)/F(s)
is the only term on the left-hand-side:
x(t) + 25wx (t) +w²x(t) = f(t)
Assume the initial conditions are all zero, x(to) = x(to)= (to) = x (to) = 0 with initial time
to = 0. Hint: Use the differentiation theorem.
Chapter 13 Solutions
Control Systems Engineering
Ch. 13 - Prob. 1RQCh. 13 - Name three advantages of using digital computers...Ch. 13 - Name two important considerations in...Ch. 13 - Prob. 4RQCh. 13 - Prob. 5RQCh. 13 - Prob. 6RQCh. 13 - Prob. 7RQCh. 13 - 8. What method for finding the inverse z-transform...Ch. 13 - What method for finding the inverse z-transform...Ch. 13 - In order to find the z-transform of a G(s), what...
Ch. 13 - Prob. 11RQCh. 13 - Prob. 12RQCh. 13 - Prob. 13RQCh. 13 - Prob. 14RQCh. 13 - Prob. 15RQCh. 13 - Prob. 16RQCh. 13 - Prob. 17RQCh. 13 - Prob. 18RQCh. 13 - Prob. 19RQCh. 13 - Prob. 20RQCh. 13 - Prob. 21RQCh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 11PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 17PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Prob. 29PCh. 13 - Prob. 31PCh. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 40P
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- 6 Problem Compute the inverse Laplace transform f(t) = L−¹[F(s)] of the following function: s+1 s² + 6s +9 F(s) =arrow_forwardK m fv fy- 0 J M A Figure 1 Find the Laplace transform and transfer function for the system in Figure 1. f(t)arrow_forwardsole using laplace transforms Do not answer in image formatarrow_forward
- The ratio of output to input of a system in Laplace domain is known as Transfer function . Select one: True Falsearrow_forwardUse the definition of the Laplace transform to determine the Laplace transform L[f(t)](s) of the following functions f(t): (c) f(t) = sin(5t)arrow_forwardFind the inverse Laplace transform L-¹{F(s)} of the given function. F(s) = 20 s² + 25 Your answer should be a function of t. L-¹{F(s)} =arrow_forward
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