Question
In: Physics
] Consider the following dynamic equations: ?1̇ = −2?1 + 6?2 ?2̇ = −4?1 + ?(?)...
] Consider the following dynamic equations: ?1̇ = −2?1 + 6?2 ?2̇ = −4?1 + ?(?) ?(?) = ?1 The control is obtained through state feedback with ?(?) = −?1?1 − ?2?2 + ?(?), where ?(?) is reference input. Find the ?1 and ?2 if the closed-loop system has a natural undamped frequency of 10 rad/sec and a damping ratio of 0.707.
Solutions
genius_generous answered 2 years agoRelated Solutions
2. Consider the following data: x= 1, 2, 3, 4, 5 y =3, 2, 4, 6,...
2. Consider the following data:
x= 1, 2, 3, 4, 5
y =3, 2, 4, 6, 5
By hand, not using Matlab, and showing your work:
(a) Compute the correlation coefficient.
(b) Find the least-squares line.
(c) Find the standard deviation around the least-squares
line.
2. Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4,...
2. Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4, 5,
6, 7, 8, 9, 10}.
(a) How many of these functions are strictly increasing (i.e.
f(1) < f(2) < f(3) < f(4) < f(5) < f(6))? Hint: How
many different possibilities are there for the range of f? For each
range of f, how many strictly increasing functions are there?
(b) How many of these functions are non-decreasing (i.e. f(1) ≤
f(2) ≤...
Find equations of the following. 2(x − 9)2 + (y − 6)2 + (z − 1)2...
Find equations of the following.
2(x − 9)2 + (y − 6)2 + (z − 1)2
= 10, (10, 8, 3)
(a) the tangent plane
(b) the normal line
(x(t), y(t), z(t))=
Consider the following pairs of observations.X 1 4 3 5 7 2 6 20
Consider the following pairs of observations.
X 1 4 3 5 7 2 6 20
Y 3 12 10 12 19 7 17 60
A) Calculate the least squares line.
B) Determine a 95% confidence interval for the mean value of Y
using X = 6
C) Determine a 95% prediction interval for the Y value using X =
6
Consider a set A = { 1, 2, 3, 4, 5, 6, 8} Consider these relations,...
Consider a set A = { 1, 2, 3, 4, 5, 6, 8}
Consider these relations,
1. R1 = { ( a, b) | a = 3b }
Can you write down the pairs ? one such pair is ( 3, 1)
2. R2 = { (a, b) | 2a = b }
Can you write down the pairs ? one such pair is (2, 4)
3. R3 = { ( a, b) | a >= 2b }
Can you...
Solve the following first order differential equations: (a) 2/?^ ???/?? = 4?^2? ; ?(0) = −1/...
Solve the following first order differential equations:
(a) 2/?^ ???/?? = 4?^2? ; ?(0) = −1/ 3
(b) ??/?? + ? = ? ; ?(0) = 5
(c) ??/?? + ? /? = ? 3 ; ? ( 1/2 ) = 1
Problem 6-01 (Algorithmic) Consider the following time series data. Week 1 2 3 4 5 6...
Problem 6-01 (Algorithmic)
Consider the following time series data.
Week
1
2
3
4
5
6
Value
18
12
16
10
19
13
Using the naïve method (most recent value) as the forecast for
the next week, compute the following measures of forecast
accuracy.
Mean absolute error. If required, round your answer to one
decimal place.
Mean squared error. If required, round your answer to one
decimal place.
Mean absolute percentage error. If required, round your
intermediate calculations and final...
Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 4 6...
Consider the following time series data.
Quarter
Year 1
Year 2
Year 3
1
4
6
7
2
0
1
4
3
3
5
6
4
5
7
8
(b)
Use a multiple regression model with dummy variables as follows
to develop an equation to account for seasonal effects in the data.
Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0
otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise.
If required, round your...
Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 4 6...
Consider the following time series data.
Quarter
Year 1
Year 2
Year 3
1
4
6
7
2
2
3
6
3
3
5
6
4
5
7
8
Compute seasonal indexes and adjusted seasonal indexes for the
four quarters (to 3 decimals).
Quarter
Seasonal
Index
Adjusted
Seasonal
Index
1
(___)
(___)
2
(___)
(___)
3
(___)
(___)
4
(___)
(___)
Total
(___)
Consider the following time series data.
Quarter
Year 1
Year 2
Year 3
1
5
5
6...
Question 1. Consider the following time series data. Week 1 2 3 4 5 6 Value...
Question 1. Consider the following time series
data.
Week
1
2
3
4
5
6
Value
118
113
116
111
117
114
Construct a time series plot. What type of pattern
exists in the data?
Develop a three-week moving average for this time
series. Compute MSE and a forecast for week 7.
Use a =0.2 to compute the exponential smoothing values
for the time series. Compute MSE and a forecast for week
7.
Compare the three-week moving average forecast with...
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