ECE 479/579 Digital Control Systems
Homework Assignment #2
1. Write the Laplace transform of the following equations and then solve for x(t); the initial
conditions are given to the right.
a) Dx + 8x
ECE 479/579 Digital Control Systems
Homework Assignment #1
1. Most control systems require some type of motive power. One of the most commonly
used units is the electric motor. Write the differential
ECE 479/579 - Digital Control Systems
Project Assignment #2
1.
Controller Transfer function:
D( s )
U ( s)
s3
K
sU ( s) 22U ( s) K sE ( s) 3K E ( s)
E ( s)
s 22
Eulers forward rectangular method:
ECE 479/579 - Digital Control Systems
Homework Assignment #4
1.
The gains of a valid DAQ (Data Acquisition) device are 1, 2, 5, 10, 20, 50, and 100, and
ranges of the DAQ are 10V to +10V, and 0V to +1
ECE 479/579 Digital Control of Dynamic Systems
Homework Assignment #3
1. For the system shown,
a) Find C(s)/R(s).
Inner feedback loop
Gx ( S )
C ( s)
K ( s 2)( s 3)
tf1 ( s)
2
I ( s) 1 Gx ( S ) H (
ECE 479/579 Digital Control Systems
Project Assignment #1
1. Textbook 2.1.
Uncompensated feedback system root locus
System is not stable. A compensator is needed for a stable system.
Lead compensato
ECE 579 Digital Control Systems
Homework Assignment #5
4.22
a)
F ( z)
1
1 z 2
| z | 1
1 cos z 1
1
2
F ( z)
2
1 z
1 2 cos z 1 z 2
2
k
f (k ) cos
u (k )
2
b)
z ( z 1)
| z | 1
z 1.25 z 0.25
z ( z
5.16
a)
G ( s)
1
1
G1 ( z ) (1 z 1 ) Z
(1 z ) Z 3
s
s
2
1 T z ( z 1)
Z 3
3
s 2 ( z 1)
G1 ( z )
T 2 ( z 1)
2 ( z 1) 2
b) (See also Example 4.8 in textbook)
e 1.5 s
G(s)
1
G2 ( z ) (1 z )
4-9
b)
z 1 e
1
1
1
z
z
3T
s( s 3) s s 3
z 1 z e
z 1 z e3T
3T
d)
z z 1 T
s 1 1 1
z
Tz
2
2
2
2
s
s s
z 1 z 1
z 1
g)
e0.5Ts e0.5Ts
3e 1.5Ts
1
1
1.5e1.5Ts
1.5e2Ts
( s 1)( s 3)
s 1 s 3
s