April 2016
Intermediate to advanced
815 pages
31h 29m
English
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
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8.34 For the aircraft pitch control system represented by the block diagram shown in Figure 8.48,
(a) Draw a simulation diagram and label the states x
1
, x
2
, x
3
,..., x
7
.
(b) Write the state equations and find the matrices A, B, C, and D in
_
x ¼ Ax þ Bu
com
, y ¼ Cx þ Du
com
. The output is y(t) ¼u(t). Leave your answer in terms
of parameters A
1
, B
1
, B
0
, b
1
, b
0
,..., E
1
.
(c) Using the given baseline values for the control system parameters K, K
c
,...,K
_
u
, evaluate
the matrices A, B, C,andD.
(d) Use MATLAB to verify that the eigenvalues of the coefficient matrix A are identical to
those of the matrix A in Equation 8.240. Compare the eigenvalues to the roots
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