EE341 Problem Set 13 Due F 12/10/99
1. P6.3-5
2. P6.3-7a-i,iii, b
3. P6.4-1
4. P6.4-2
5. P6.6-7
6. For each set of couple differential equations where inputs are on the right side of the
equations and outputs are on the left
a) draw the block diagram representation of the system of equations where f(t) is the system
input and y(t) is the system output,
b) reduce the block diagram to one block containing the transfer function H(s)=Y(s)/F(s),
c) use matlab to plot the system’s impulse response (y(t) for f(t) = *(t)) and step response
(y(t) for f(t) = u(t)) with time values from 0 to 10 seconds,
d) find the Fourier Transform transfer function H(T) and plot the system’s magnitude and
phase spectra for frequencies between -20rad/sec and 20rad/sec.
i)
&
&
&&
x x f
v x r
y y v
r r y
+
=
= −
+ =
+ =
2 2
4 3
3
ii)
& &
& &
&
v v r
x x r r
y v w
wx
rfy
+
=
+ = +
= −
=
= −
4
2