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Title:

" James Ting HoLo

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solver. Initial. condition. K(1,0) Kalman gain. computer. K(n,n-1) K(n 1,n) G(n) Filtered ... '?????' - ????? : ????? ????? ??? ???? ????? ??????. ???? ???? ... – PowerPoint PPT presentation

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Title: " James Ting HoLo


1
????? ?? ??????? ??????? ????? ?????????
  • ???? ??? ?????
  • ???? ??-???? ?????????

2
????? ??????
  • ????
  • ?????? ???? ???
  • ??????
  • ????? ?"? James Ting Ho-Lo
  • ?????
  • ?????

3
????
4
?????? ??????? ???????
????? ???
?????
V1(n)
X(n1)
X(n)
y(n)
-1 I
C(n)
S
S
Z
??? ???
??? ???
F(n1,n)
V2(n)
??? "????? ????" ?????? ????? ?????? ????????
?????????
???? ???? ?????? ???????
5
???? ???? - ????
Initial condition  
x(1 I y0)

Filtered estimate  
Observation vector y(n)
x(n1Iyn)

One-step predictor

x(nIyn)
F(n,n1)
K(n,n-1)
G(n)
Kalman gain computer
Riccati equation solver
K(n,n-1)
K(n1,n)
Initial condition K(1,0)
"?????" - ????? ????? ????? ??? ???? ?????
??????
-1I
Z
6
???? ???? ????? ??????
  • ???? ???? ????? ????? ???????? ???? ???? ?????
    ???????? ??? ???? ?????? ???????.
  • ???? ???? ????? ????? ?? ???? ???? ?????? ?????
    ????? ?????? ?????? ?????? ???? ????? ??? ????
    ??? ?? ????????.
  • ?????? ?? ??????.
  • ?????? ?????? ??????? ????? ???? ???? ?????
    ?????? ????? ??????? ????? ??????? ?? ????? ?
    EKF.
  • ????? ???? ????? ?? ???????? ?????? ???? ??????
    ????? ???? ?????? ????? ?????? ?????? ?????????.
  • ?????? ?????? ???? ?? ????? ?? ????? ??? ????
    ???? ???? ?????? ???????.

7
????? ????????? - ???? ?????.
X1
  f( )
neti
S
X2
?
yi

Nonlinear unit
Xn
bi
Linear combiner
???? ???? ?? ??????
8
????? ???????? - ???? ??????
9
????? ???????? - ???? ??????
10
??????????, ????? ????
Z-1
???? ?????????
Input
Output layer
Input layer
??? RRBF
Hidden layer
11
???? ????? ?? ??????????
???? ???? ?? ??? ????????
????? ??????????
g The Gaussian Function ? - The Gaussian
parameters W Synaptic weight
12
???? ????????? - ????? ??????????? (????? ? LMS
? LS)
13
????????? ???? ?????? ?????.
  • ???? ????? ??? ???????? ?? ????????? ??????
    ?????? RRBF.
  • ???? ????????? ?????? ?? ??? RBF ?? ????????
    ??????? ????? (?????? ???? ???? ?? ??????? ???).
  • ???? ???????? ?? ????? ????????? ??? ???? ??????
    ????? ?????? ?????? (???? ?????? ???????????).
    ??? ?? ???? ?????????.
  • ????? ????????? ????? ?? ?????????? ?"?????
    ?????" (?????? ?? ?????). ???? ?????? ?????? ??
    ????????? ??? ????????!

14
????? 1 ?????? ??? ???
15
????? ?? ?????? ??? ???
???? ?????? ? ??? ???? ????? ?? ?????? ????? ?
??? ??????.
V1(n)
X(n1)
X(n)
y(n)
-1 I
C(n)
S
S
Z
F(n1,n)
V2(n)
16
???? ????? ????? ????? ?? ?????? ??? ???
????? ??? ???? ?? ????? ??? 2 ?"? ???? ????
?-RRBF
17
???? ????? ????? ????? ?? ?????? ??? ???
????? ????? ????? ???? 2 ?"? KF ?-RRBF
18
?????? ?????? ???. ?????? ????? ?? ??? ??
???????.
????? ?? ????? ??? ???????? ?????? ?? 0.01
19
??????? ? RRBF ??? ??????? ? ????.
  • ????? ????? ???????? ????? ??? ????
  • ????????? ?????? ?? ?????? ?? ???????

20
????? ????? 1
  • ????? ????? ??? ?????? ?????? ??????? ??
    ???????? RRBF ????? ????????? ????? ???????.
  • ????????? ?????? ????? ?? ????? (????? ?????
    ??????) ???? ????? ?? ??? ?????? ?????? ?????
    ???? ???? ????? ????.
  • ???? ????? ??????? ????? ????? ???? ?????
    ???????? ?-RRBF ????? ?????? ?????? ????
    ????????? ?????????

21
????? 2 - ??????
22
???? ?????? ????????? ???????? ????????
????? ??????? ?????? ? 3 ????? ?. ??? ??????. ?.
?????? ????. ?. ???
????? ????? ?? ??????
23
???? ?????? ????????? ???????? ????????
??? ?? ???? ?????
??? ????? ?????? ???
??? (????? ??????)
????? ?? ???? ?????
24
???? ????? ??????.
????? ????? ?????? ???? ?????? ?? ?????????
?????? ??? EKF ???? RRBF
25
???? ????? ??????.
????? ????? ????? ?????? ???? ?????? ?? ?????????
?????? ??? EKF ???? RRBF
26
???? Fixed point
????? ????? ?? ?????? ?????? "????? ?????"
????? ?? 6 ?????.
27
????? ???????? ?? ??? ??????.
????? ????? ?????? ??? ????? ????? ??? ??????
28
????? ?????.
  • ?????? ?????? ??? ?????. ?????? ?? ????? ????
    ?-RRBF ????????? ???? ????? ??????? ??? ?? ?-EKF.
  • ???, ?????? ??? ?? ???? ????????? ????? ???????
    ????? ?-RRBF ????? ???? ?????? ? EKF.

29
????? ?"? James Ting Ho-Lo
30
???? ?????? ????????? ????????? ??? ?????? ????
????.
???? ????? ??? ???? ???? ??????? ??????? ????
????? ?????? ???? ??????? ?????? ???? ?? ????
????? ???? ???? EKF
31
???? ????? ?? Lo
??? ???????? ??????
32
?????? ?????? ??? ????? ?? Lo ??? ?????
????? ??? ?????? ?"? Lo ??????? RRBF
33
?????? ?????? ??? ????? ?? Lo ??? ?? RMSE
????? RMSE ?????? ??????? RRBF ?? 100 ????? .
????? ?????? ?? RRBF ???? ?? 10!
34
?????? ??????
  • ???????? ???? ?????? ?"? James Ting Ho-Lo ?????
    ????. ?? ???? ???? ?????? ???? ???? ???? ??????
    ????? ?-RRBF ???? ??? ??????.
  • ?????? ?????? ????? Back-Propagation ??? ????????
    ?????? ?? Lo ???? ????? ???? ?? ?-RRBF.
  • ??? ?-RRBF ?????? ??????? ????? ????!

35
????? ?????.
  • ????? ?? ????? ???????? ??? ?????? RRBF
    Recurrent Radial Basis Function
  • ????????? ????? ?? ??? ???????? ?????? ??????
    ("?????") ?? ?????? ?????? ?? ????? ?????? ??
    ????????.
  • ????????? ????? ?? ??? ????? ?? ??????? ??????
    ???? ?????????. ????? ???? ??? ?????? ????? ????
    ????????? ?????? ??????.
  • ?????? ??? ????? ???? ????? (??? ????? ??????
    ???????) ???? ?-RRBF ????????? ???? ???? ???? ???
    ?? ?-EKF.

36
????? ??????- ?????? ? EKF ?????? ?? Lo.
  • ????????? ???? ?????? ???? 2
  • ???? ?????
  • ?????? ????????? ?? ???????? ? RRBF
  • ?????? ????? ???? ?? ?? ??? ????? ?????????
    ?????.
  • ????????? ???? ???? ??? ?? ?-EKF

37
??????? ?????
  • ????? ???? ???
  • ????? ??? ?????
  • ????? ???? ??? ???? ?????????.

38
????? ?
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