Lecture
1. When is it possible to conduct an active experiment when studying identification models of the flight-control-system (SU DLA)?
2.Explain the reasons for the non-significance of the multiple correlation coefficient and propose an algorithm for further study of the model.
3.The residual variance Soc2 t is comparable to the regression variance
SR2 . What conclusions can be drawn about the adequacy of the model?
4.As a result of additional trials at the operating point, the variance of the random error increased. What conclusions can be drawn about the adequacy of the model?
5.Testing the hypothesis of the significance of individual coefficients of the regression model showed that most of them are not significant. What conclusions can be drawn about the model as a whole?
6.Which functions of the System Identification Toolbox can be used to perform structural identification at the stage of isolating the object from its environment?
7.Can an ARMAX model be applied to deterministic
objects?
8. Estimate the parameters of the models y
m
= a +a x and y
m
= a
+ a x + a
2
x2
0
1
0
1
based on the following measurements:
x
0.0
0.2
0.4
0.6
0.8
1.0
y
0.000
0.363
0.659
0.902
1.101
1.264
Check the adequacy of the models using a series of additional
trials at the point 0.8:
x
0.8
0.8
0.8
0.8
0.8
0.8
y
1.000
1.134
1.112
1.056
0.955
1.010
9. Estimate the parameters of the models
y
m
= a
+ a x2
and
y
m
= a x + a
2
x3
0
1
1
based on the following measurements:
x
0.0
0.2
0.4
0.6
0.8
1.0
y
0.000
0.363
0.659
0.902
1.101
1.264
126
Check the adequacy of the models using a series of additional trials at the point 0.8:
x
0.8
0.8
0.8
0.8
0.8
0.8
y
1.000
1.134
1.112
1.056
0.955
1.010
10.Write a program to compute problem 8 from Section 1 in the
MatLab package using System Identification Toolbox tools.
11.Write a program to compute problem 9 from Section 1 in the
MatLab package using System Identification Toolbox tools.
12. Write
a program
to compute
problem
11
from
Section
1
in the MatLab package using System Identification Toolbox tools.
13. Write
a program
to compute
problem
12
from
Section
1
in the MatLab package using System Identification Toolbox tools.
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