EE 554 HW1
Fall 2010
(10 points) 1.5 A ballistic missile is required to follow a predetermined flight path by adjusting its angle of attack
(the angle between its axis and its velocity vector v). The angle of attack is controlled by adjusting the thrust
EE 554 Fall 2011
EE 554 Homework Chapter 2
2.6 Use the linearity of the z-transform and the transform of the exponential function to
obtain the transforms of the discrete-time functions.
(a) sin (
)
(b) cos (
)
2.8 Find the inverse transforms of the follo
EE 554 HW2
Fall 2010
(10 points) Find the equivalent sampled impulse response sequence and the equivalent z-transfer function for the
cascade of the two analog systems with sampled input
H 1 ( s) =
1
s+6
H 2 (s) =
10
s +1
(a) If the systems are directly c
EE 554 Fall 2011
EE 554 Homework Chapter 3
3.3 Many chemical processes can be modeled by the following transfer function:
=
+1
Where K is the gain, is the time constant and Td is the time delay. Obtain the T.F.
Gzas(s) for the system in terms of the syste
EE 554 HW3
Fall 2010
(20 points) 5.4 Consider the system in 5.3(ii) with a required steady-state error of 20%, and an adjustable PI
controller zero location. Show that the corresponding closed-loop characteristic equation is given by
1
s+a
1+ K
=0
s ( s +
EE 554 Fall 2011
EE 554 Homework Chapter 4
4.6 Use the Routh-Hurwitz criterion to find the stable range of K for the closed-loop
unity feedback systems with loop gain
(a)
=
(b)
=
.
.
.
.
.
4.16 Simulate the closed-loop systems shown in Problem 4.6 with a
EE 554 Fall 2011
EE 554 Homework Chapter 5
5.13 Consider the system
=
1
+1
And apply the Ziegler-Nichols procedure to design a PID controller. Obtain the response
due to a nit step input as well as a step disturbance signal.
5.14 Write a computer program
EE 554 Fall 2011
EE 554 Homework Chapter 6
6.7 Design a digital filter by applying the bilinear transformation to the analog
(Butterworth) filter
1
=
+ 2 +1
With T = 0.1s. Then apply prewarping at the 3-dB frequency.
6.13 Design a deadbeat controller for