資料2

! 
(
(
)
t
(
)
)
t
g(t)
(
)
t
t
g(t)
x(t)
y(t)
y(t)
x(t)
t
?
t
t
t
g(t)
x(t)
t
y(t)
y (t ) = ∫ x(τ ) g (t − τ )dτ
0
41P
g(t)
x(t)
g(t)
X(s)
G(s)
s
t
y (t ) = ∫ x(τ ) g (t − τ )dτ
0
Y(s)=G(s)X(s)
G(s)
1
G(s)=
Y(s)
s
X(s)
s
2
g(t)
G(s)=L[g(t)]
g(t)
R[Ω]
v(t)
i(t)
L[H]
di (t )
v(t ) = L
+ Ri (t )
dt
V(s)
G(s)
v(t)
I(s)
,
i(t)
G(s)
di (t )
v(t ) = L
+ Ri (t )
dt
v(t) s
i(t) s
: V(s)
: I(s)
R
g(t) = e
L
⎛ R⎞
−⎜ ⎟ t
⎝ L⎠
: u(t)
u(t)
⎧
0
⎪
⎪
g(t) = ⎨
⎪ R e− α t
⎪⎩ L
(t < 0)
(t ≥ 0)
P.51
t
t
g(t)
x(t)
1
y(t)
(
t
y (t ) = ∫ x(τ ) g (t − τ )dτ
0
2
(
)
Y(s)=G(s)X(s)
y(t)=L-1[Y(s)]
(@_@;))
(
(
)
(
)
)
t
t
g(t)
(
)
(
(“
G(s)
”)
)
x=sin (ωt)
ω[rad/sec]
A(
y=Asin (ωt+θ)
)
θ
1 5
θ>0
-1[rad]
“
”
θ<0
“
”
(
)
! 
! 
" 
! 
" 
x(t)
y(t)
x(t-τ)
y(t-τ)
! 
x1
A* x1 + B*x2
y1
x2
y2
A *y1 + B* y2
x
y
y=ax+b
?
x=sin (wt)
y=Asin (wt+θ)
w[rad/sec]
(
)
g(t)
(
4
P.63 )
X(s)
G(s)
s
Y(s)=G(s)X(s)
G(s)
s=jw
G(jw)
x=sin (wt)
w[rad/sec]
(
y=Asin (wt+ )
)
X(jw)
G(jw)
Y(jw)=G(jw)X(jw)
(Im)
! 
A=
G(jw)=a+jb
Y(jw)
= G(jw) =
X(jw)
a2+b2
b
AZ
b
a
! 
(Re)
θ=
R[Ω]
v(t)
i(t)
L[H]
V(jw)
G(jw)
di (t )
v(t ) = L
+ Ri (t )
dt
v(t)
i(t)
G(jw)
,
G(s)
I ( s)
1
G( s) =
=
V ( s) sL + R
67
I(s)
G(s)
s=jw
1
R − jwL
G( jw) =
= 2
2
R + jwL R + ( wL)
1
| G ( jw) |= 2
| R − jwL |=
2
R + ( wL)
1
R 2 + ( wL) 2
(Im) b
−1 −wL
θ (w) = tan
= = tan (
)
(Re) a
R
−1
(R=2,L=1)
(R=2,L=1)
θ[rad]
|G(jw)|
w
π/2
w
(R=2,L=1)
(R=2,L=1)
|G(jw)|
ω=0,θ=0
ω=2,θ=-0.78
θ[rad]
ω=0,G=0.5
ω=2,G=0.35
ω
π/2
ω
ω=0
G=0.5,θ=0
ω=2
G=0.35,θ=-0.78
ω=0
G=0.5,θ=0
ω=2
G=0.35,θ=0
sin(2t)
=1
=0.5
0.35sin(2t-0.78)
(R=2,L=1)
θ[rad]
|G(jw)|
w
RL
RC
(R=2,L=1)
θ[rad]
|G(jw)|
w
RL
RC
-
• 
• 
• 
• 
:
:
:
:
(
)
(
(
)
=
―
)
33
-
+
X(s)
-
G(s)
H(s)
Y(s)
+
X(s)
-
G(s)
H(s)
G(s)H(s)
Y(s)
+
X(s)
E(s)
-
G(s)
Y(s)
H(s)
E(s)=X(s)-H(s)Y(s)
Y(s)=
Y(s)=G(s)E(s)
G(s)
1+G(s)H(s)
X(s)
X(s)
G(s)
1+G(s)H(s)
1+G(s)H(s)=0
Y(s)
X(s)
G1(s)
G2(s)
Y(s)
Y(s)=G2(s) (G1(s)X(s))=G2(s)G1(s)X(s)
X(s)
G(s)
Y(s)=G(s)X(s)
G(s)=G1(s)G2(s)
Y(s)
G1(s)
X(s)
G2(s)
+
Y(s)
+
G(s)
Y(s)=G1(s) X(s) + G2(s) X(s)
=(G1(s)+G2(s))X(s)
+
X(s)
E(s)
-
G(s)
Y(s)
H(s)
E(s)=X(s)-H(s)Y(s)
Y(s)=
Y(s)=G(s)E(s)
G(s)
1+G(s)H(s)
X(s)
X1(s)
+
+
G(s)
Y(s)
X2(s)
+
X1(s)
X2(s)
+
G(s)
Y(s)
?
⎛
⎞
1
Y ( s) = G ( s) X 1( s) + X 2( s) = G ( s)⎜⎜ X 1( s) +
X 2( s) ⎟⎟
G( s)
⎝
⎠
X(s)
Y1(s)
G(s)
Y2(s)
X(s)
Y1(s)
G(s)
?
Y1(s) = G(s)X(s)
1
Y 2(s) = X(s) = (G(s)X(s))
G(s)
Y2(s)
R
C
+
+
• 
• 
→
?
?
?
?