Digital Control Tutorial No 2
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Transcript of Digital Control Tutorial No 2
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8/13/2019 Digital Control Tutorial No 2
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1 Digital Control Tutorial No.2 | Dr. Laith Abdullah Mohammed
Digital Control Tutorial No.2
Class: Fourth
Division: Production Engineering / University of Technology
Question (1): Find the transfer function Y(s)/R(s) for the block diagram, then find
the complete solution as Y(t) when input signal is the function (f(t)=e-3t
)
Answer:
Question (2): Find the transfer function C(s)/R(s) for the block diagram.
Answer:
23
32
)(
)(2 ++
+=
ss
s
sR
sY
HGGHGG
GGG
R
C
3132
321
1
)(
++
+=
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2 Digital Control Tutorial No.2 | Dr. Laith Abdullah Mohammed
Question (3): Find the transfer function C(s)/R(s) for the block diagram.
Answer:
Question (4): Find the transfer function C(s)/R(s) for the block diagram.
Answer:
Question (5): Simplify the block diagram shown below to determine the transfer
function.
12132212
321
11
GGHGGHHG
GGG
R
C
+++=
143234324
4321
1)(
)(
HGGGHGGHG
GGGG
sR
sC
+++
=
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3 Digital Control Tutorial No.2 | Dr. Laith Abdullah Mohammed
Answer:
Question (6): Simplify the block diagram shown below to determine the transfer
function.
Answer:
Question (7): A laser jet printer uses a laser beam to print copy rapidly for a
computer. The laser is positioned by a control input, r(t), so that we have:
The input r(t) represents the desired position of the laser beam. If r(t) is unit step
input, find the output y(t).
Question (8): The transfer function of a system is:
Determine y(t) when r(t) is a unit step input.
HGGG
GG
R
C
211
12
1 ++=
121232
312
1 HGGHGG
GGG
R
C
++=
)(50060
)100(5)(
2 sR
ss
ssY
++
+=
tteetyanswer
1050 125.1125.01)(: =
158)2(10
)()(
2 +++=sss
sRsY
tteetyAnswer
53 367.133.1)(: +=
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4 Digital Control Tutorial No.2 | Dr. Laith Abdullah Mohammed
Question (9): Determine the transfer function for the following configuration.
Represent the final transfer function by a single block.
Question (10): Consider the differential equation:
Write the state equation for this equation.
Answer:
sGKGHHGGHG
sGKG
sR
sYAnswer
/][1
/
)(
)(:
21212131
21
++++=
)()(2)()(
5)(
2
2
3
3
tutydt
tdy
dt
tyd
dt
tyd=+++
)(]01[)()(:EquationOutput
1
0
0
512
100
010
)()(
)()(
)()(
:variablesstate
1
2
2
3
2
1
txtxty
B
A
dt
tydtx
dt
tdytx
tytx
==
=
=
=
=
=
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Question (11): Find the transfer function of the shown system
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Question (13): Find the torque equation for the mechanical rotational system
shown in the network representation.
T J Bv Ks
Torque
Moment of Inertia
Fluid Damping
Stiffness
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Question (14): Write the state model for the system described by transfer
function: C(s)=f(s)/(s2+10s+25)
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Question (15): Write the state model for the system described by transfer
function: C(t)/f(t)=(D+6)/(D2+5D+6)
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Question (16): Rotational Mechanical Component (like shaft)
