文档介绍：Review & Exercise
2
Linear Time-Invariant System
Superposition
homogeneity
constant parameters
Basic Concepts
3
Mathematic Models of Control Systems
Ordinary Differential Equation
u(t) input y(t) output
4
Zero initial state:
Laplace Transformation:
Transfer Function
Mathematic Models of Control Systems
5
Transfer function of the system:
Laplace Transformation of the system:
Mathematic Models of Control Systems
6
Typical Configuration of a feedback control system
Open-loop TF:
Closed-loop TF from input to output:
+
+
R
(
s
)
D
(
s
)
Y
(
s
)
F
(
s
)
G
c
(
s
)
G
p
(
s
)
-
-
7
For a unit feedback system
Open-loop TF:
Closed-loop TF from input to output:
8
+
+
R
(
s
)
D
(
s
)
Y
(
s
)
F
(
s
)
G
c
(
s
)
G
p
(
s
)
-
-
Closed-loop TF from disturbance to output:
9
Block diagram transformation
Keep the input-output relationship unchanged
10
Q1: Please find the transfer functions of the given system
multi-input single-output
G
1
G
2
H
1
G
3
+
+
+
-
-
R
(
s
)
Y
(
s
)
+
N
(
s
)
+
-