📄 4．2神经模糊控制系统.mht
字号:
width=3D332 border=3D0>=20
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align=3Dcenter>(b)</P></TD></TR></TBODY></TABLE></CENTER></DIV></TD></TR>=
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<TD width=3D"100%" height=3D1219>
<P align=3Dcenter>=CD=BC4-10 =
=C9=F1=BE=AD=C4=A3=BA=FD=C4=E6=BF=D8=D6=C6</P>
=
<P>=CE=AA=C1=CB=CA=B9=B7=B4=CF=F2=B4=AB=B2=A5=CE=F3=B2=EE=D0=C5=BA=C5=CD=A8=
=B9=FD=CD=BC4=A1=AA10=D6=D0=B5=C4=B6=D4=CF=F3=BF=F2=CD=BC=A3=AC=B9=CA=B6=F8=
=D0=E8=D2=AA=C7=F3=C8=A1=BF=C9=D2=D4=B4=FA=B1=ED=B6=D4=CF=F3=D0=D4=C4=DC=B5=
=C4=C4=A3=D0=CD=A1=A3=CA=C2=CA=B5=C9=CF=A3=AC=CE=AA=C1=CB=B2=C9=D3=C3BP=D1=
=A7=CF=B0=CB=E3=B7=A8=A3=AC=D0=E8=D2=AA=D6=AA=B5=C0=B6=D4=CF=F3=B5=C4=D1=C5=
=BF=C9=B1=C8=BE=D8=D5=F3(Jacobian=20
=
matrix)=A3=AC=D4=DA=B8=C3=BE=D8=D5=F3=D6=D0=A3=AC=C6=E4i=D0=D0j=C1=D0=B5=C4=
=D4=AA=CB=D8=B5=C8=D3=DA=B6=D4=CF=F3=B5=C4=B5=DAi=B4=CE=CA=E4=B3=F6=B6=D4=
=C6=E4=B5=DAi=B4=CE=CA=E4=C8=EB=B5=C4=B5=BC=CA=FD=A1=A3</P>
=
<P>=C8=E7=B9=FB=B6=D4=CF=F3=B5=C4=D1=C5=BF=C9=B1=C8=BE=D8=D5=F3=B2=BB=C8=DD=
=D2=D7=C7=F3=C8=A1=A3=AC=D4=F2=BF=C9=D2=D4=D4=DA=C1=BD=B8=F6=C1=AC=D0=F8=B5=
=C4=CA=B1=BF=CC=B6=D4=B6=D4=CF=F3=D4=DA=CF=DF=BD=F8=D0=D0=CA=E4=C8=EB=BA=CD=
=CA=E4=B3=F6=B1=E4=BB=AF=B4=A6=C0=ED=A3=AC=D2=D4=B9=C0=BC=C6=D1=C5=BF=C9=B1=
=C8=BE=D8=D5=F3=A1=A3</P>
=
<P>=D7=A8=C3=C5=D1=A7=CF=B0=BF=D8=D6=C6=B5=C4=BD=E1=B9=B9=C8=E7=CD=BC4=A1=
=AA10(a)=D6=D0=CB=F9=CA=BE=A1=A3=B8=F8=B6=A8=D0=C5=BA=C5=CE=AAx<SUB>d</SU=
B>(k+1)=A3=AC=D4=DAANFIS=BF=D8=D6=C6=C6=F7=D6=D0=CA=E4=C8=EB=CF=B5=CD=B3=B5=
=C4=CA=E4=B3=F6x(k)=A3=AC=C8=BB=BA=F3=B0=D1ANFIS=CA=E4=B3=F6u(k)=D2=D4=BC=
=B0=CF=B5=CD=B3=CA=E4=B3=F6x(k)=D7=F7=CE=AA=B6=D4=CF=F3=B5=C4=CA=E4=C8=CB=
=A1=A3=B0=D1=B6=D4=CF=F3=CA=E4=B3=F6x(k+1)=BA=CD=B8=F8=B6=A8=D0=C5=BA=C5x=
<SUB>d</SUB>(k+1)=BD=F8=D0=D0=B1=C8=BD=CF=A3=AC=B2=FA=C9=FA=B5=C4=CE=F3=B2=
=EEe<SUB>x</SUB>=D3=C3=D3=DA=B6=D4ANFIS=BF=D8=D6=C6=C6=F7=D0=A3=D5=FD=A1=A3=
=D0=A3=D5=FD=B9=FD=B3=CC=B2=C9=D3=C3BP=CB=E3=B7=A8=A1=A3=BA=DC=C3=F7=CF=D4=
=A3=AC=D5=E2=CA=C7=D2=D4=D5=FB=B8=F6=CF=B5=CD=B3=B5=C4=CE=F3=B2=EE=D7=EE=D0=
=A1=BB=AF=CE=AA=C4=BF=B1=EA=BD=F8=D0=D0=D1=A7=CF=B0=B5=C4=A1=A3</P>
=
<P>=CD=A8=B3=A3=C8=CB=C3=C7=B2=BB=CF=B0=B9=DF=D4=DA=C3=BF=B8=F6=CA=B1=BF=CC=
k=C8=A5=B1=ED=C3=F7=CB=F9=D0=E8=B5=C4=B6=D4=CF=F3=CA=E4=B3=F6x(k)=A3=AC=D4=
=DA=B2=CE=BF=BC=C4=A3=D0=CD=CA=CA=D3=A6=BF=D8=D6=C6=D6=D0=A3=AC=CB=F9=D0=E8=
=B5=C4=D5=FB=B8=F6=CF=B5=CD=B3=B5=C4=D0=D4=C4=DC=BF=C9=D2=D4=D3=C3=D2=BB=B8=
=F6=CD=A8=B3=A3=CA=C7=CF=DF=D0=D4=B5=C4=C4=A3=D0=CD=C0=B4=B1=ED=CA=BE=A3=AC=
=D5=E2=B8=F6=C4=A3=D0=CD=BF=C9=D2=D4=B3=C9=B9=A6=B5=D8=C2=FA=D7=E3=BF=D8=D6=
=C6=C4=BF=B5=C4=A1=A3=D5=E2=D6=D6=B7=BD=B7=A8=C8=E7=CD=BC4=A1=AA10(b)=D6=D0=
=CB=F9=CA=BE=A1=A3=D4=DA=CD=BC=D6=D0=A3=AC=CB=F9=D0=E8=B5=C4=CA=E4=B3=F6x=
<SUB>d</SUB>(k+1)=CD=A8=B9=FD=CB=F9=D0=E8=C4=A3=D0=CD=B2=FA=C9=FA=A1=A3</=
P>
=
<P>=CB=C4=A1=A2=B7=B4=C0=A1=CF=DF=D0=D4=BB=AF=BC=B0=BB=AC=C4=A3=BA=FD=BF=D8=
=D6=C6</P>
=
<P>=D4=DA=C1=AC=D0=F8=CA=B1=BC=E4=D3=F2=D6=D0=A3=AC=B6=AF=CC=AC=CF=B5=CD=B3=
=B5=C4=D4=CB=B6=AF=B7=BD=B3=CC=BF=C9=D2=D4=D3=C3=B5=E4=D0=CD=B5=C4=D0=CE=CA=
=BD=B1=ED=B4=EF=C8=E7=CF=C2</P>
=
<P>x<SUP>(n)</SUP>(t)=3Df(x(t),x(t),x<SUP>(2)</SUP>(t),......,x<SUP>(n-1)=
</SUP>(t))+bu(t) &nb=
sp; =20
(4.39)</P>
=
<P>=C6=E4=D6=D0=A3=BAf=CA=C7=CE=B4=D6=AA=C1=AC=D0=F8=BA=AF=CA=FD=A3=AC</P=
>
<P>b=CA=C7=BF=D8=D6=C6=D4=F6=D2=E6=A1=A3</P>
=
<P>=CF=B5=CD=B3=BF=D8=D6=C6=B5=C4=C4=BF=B5=C4=CA=C7=CA=B9=D7=B4=CC=AC=CF=F2=
=C1=BF</P>
=
<P>X=3D[x,x,x<SUP>(2)</SUP>,......,x<SUP>(n-1)</SUP>]<SUP>T</SUP> &n=
bsp; &nb=
sp; =20
(4.40)</P>
<P>=BC=B4=CB=E6=CB=F9=D0=E8=B5=C4=B9=EC=BC=A3</P>
=
<P>X<SUB>d</SUB>=3D[x<SUB>d</SUB>,x<SUB>d</SUB>,x<SUB>d</SUB><SUP>(2)</SU=
P>,......,x<SUB>d</SUB><SUP>(n-1)</SUP>]<SUP>T</SUP> &nb=
sp; =20
(4.41)=20
<P>=C8=E7=B9=FB=B6=A8=D2=E5=CE=F3=B2=EE=CF=F2=C1=BF=CE=AA=20
=
<P>e=3DX-X<SUB>d</SUB> &nb=
sp; &nbs=
p;  =
; =20
(4.42)=20
=
<P>=D4=F2=BF=D8=D6=C6=C4=BF=B5=C4=CA=C7=C9=E8=BC=C6=D2=BB=B8=F6=BF=D8=D6=C6=
u(t)=A3=AC=CA=B9=B5=C3=D4=DAt=A1=AA=A1=AA<SPAN=20
style=3D"FONT-SIZE: 10.5pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-bidi-font-size: 10.0pt; mso-bidi-font-family: 'Times New Roman'; =
mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: =
ZH-CN; mso-bidi-language: =
AR-SA">=A1=DE</SPAN>=CA=B1=A3=ACe=A1=AA=A1=AA0=A1=A3=20
=
<P>=C8=E7=B9=FBf=CA=C7=D2=D1=D6=AA=B5=C4=A3=AC=D4=F2=CA=BD(4=A1=AA39)=BF=C9=
=D2=D4=BC=F2=BB=AF=CE=AA=CF=DF=D0=D4=CF=B5=CD=B3=A3=AC=B9=CA=CB=FC=CA=C7=D2=
=BB=B8=F6=B5=E4=D0=CD=CF=DF=D0=D4=BB=AF=CF=B5=CD=B3=A1=A3=20
=
<P>=D4=DAf=D2=D1=D6=AA=CA=B1=A3=AC=B2=C9=D3=C3=CF=C2=C3=E6=BF=D8=D6=C6u(t=
)=A3=BA=20
=
<P>u(t)=3D-f(X(t))+X<SUB>d</SUB><SUP>(n)</SUP>+k<SUP>T</SUP><SUB>e</SUB>&=
nbsp; =20
(4.43)=20
=
<P>=BD=AB=B0=D1=D4=AD=D3=D0=B5=C4=B7=C7=CF=DF=D0=D4=CF=B5=CD=B3=D7=AA=BB=BB=
=B3=C9=CF=DF=D0=D4=CF=B5=CD=B3=A3=BA=20
=
<P>e<SUP>(n)</SUP>(t)+k<SUB>1</SUB>e<SUP>(n-1)</SUP>+=A1=AD=A1=AD+k<SUB>(=
n-1)</SUB>e+k<SUB>n</SUB>=A3=BD0  =
; =20
(4.44)=20
=
<P>=D5=E2=C0=EF=A3=ACK=A3=BD[k<SUB>n</SUB>=A3=ACk<SUB>(n-1)</SUB>=A3=AC=A1=
=AD=A1=AD=A3=ACk<SUB>1</SUB>]<SUP>T</SUP>=CA=C7=C7=A1=B5=B1=D1=A1=D4=F1=B5=
=C4=CF=F2=C1=BF=A3=AC=CB=FC=D3=A6=B1=A3=D6=A4=C2=FA=D7=E3=CA=BD(4=A3=AE44=
)=B1=D5=BB=B7=CF=DF=D0=D4=CF=B5=CD=B3=B5=C4=CC=D8=D0=D4=A1=A3<BR>=B5=AB=D4=
=DA=CA=BD(4=A3=AE39)=D6=D0=A3=ACf=CA=C7=CE=B4=D6=AA=BA=AF=CA=FD=A3=AC=B4=D3=
=D6=B1=BE=F5=C9=CF=D3=A6=D1=A1=D4=F1=BF=D8=D6=C6u(t)=CE=AA=A3=BA=20
=
<P>u(t)=3D-F(X,p)+x<SUB>d</SUB><SUP>(n)</SUP>+k<SUP>T</SUP><SUB>e</SUB>+V=
&=
nbsp; =20
(4.45)=20
=
<P>=C6=E4=D6=D0=A3=BAF=CA=C7=D7=E3=D2=D4=B1=C6=BD=FCf=B5=C4=B2=CE=CA=FD=BB=
=AF=BA=AF=CA=FD=A3=AC=20
<P>V=CA=C7=B8=BD=BC=D3=CA=E4=C8=EB=A1=A3=20
=
<P>=B5=B1=B2=C9=D3=C3=BF=D8=D6=C6u(t)=CA=B1=A3=AC=D4=F2=B5=C3=B5=BD=B5=C4=
=B1=D5=BB=B7=CF=B5=CD=B3=B0=B4=C8=E7=CF=C2=C7=F3=B3=F6=A3=BA=20
=
<P>1=A3=AE=D4=DA=CA=BD(4=A3=AE43)=D6=D0=A3=ACk<SUP>T</SUP>e=C2=FA=D7=E3=CA=
=BD(4=A3=AE44)=A3=AC=BC=B4=D3=D0=A3=BA=20
=
<P>u(t)=3D-f(X(t))+x<SUB>d</SUB>(n) &n=
bsp; =20
(4.46)=20
<P>2=A3=AE=B4=D3=CA=BD(4=A3=AE45)=A3=AC(4=A3=AE46)=D4=F2=D3=D0=20
=
<P>-f(x(t))+x<SUB>d</SUB><SUP>(n)</SUP>=A3=BD-F(X=A3=ACp)+x<SUB>d</SUB><S=
UP>(n)</SUP>+k<SUP>T</SUP>e+V=20
<P>=B4=D3=B6=F8=D3=D0=20
<P>kTe=3DF(X,p)-f(X(t))-V=20
<P>=BC=B4=D3=D0=A3=BA=20
=
<P>e<SUP>(n)</SUP>+k<SUB>1</SUB>e<SUP>(n-1)</SUP>+......+k<SUB>(n-1)</SUB=
>e+k<SUB>u</SUB>=3D(F-f)-V  =
; =20
(4.47)=20
=
<P>=CA=BD(4=A3=AE47)=B1=ED=CA=F6=C1=CB=D3=C3=CA=BD(4=A3=AE45)=CB=F9=CA=BE=
=B5=C4=BF=D8=D6=C6=CA=B1=B5=C3=B5=BD=B5=C4=B1=D5=BB=B7=CF=B5=CD=B3=A1=A3 =
=
<P>=BA=DC=CF=D4=C3=F7=A3=AC=B4=E6=D4=DA=C1=BD=B8=F6=CE=CA=CC=E2=A3=BA=20
=
<P>1=A3=AE=D0=E8=D2=AA=D6=F0=BD=A5=D0=DE=B8=C4=B2=CE=CA=FD=CF=F2=C1=BFP=A3=
=AC=CA=B9=B5=BD=B6=D4=D3=DA=CB=F9=D3=D0=B5=C4X=A3=AC=D3=D0F(X=A3=ACp)<SPA=
N=20
style=3D"FONT-SIZE: 10.5pt; FONT-FAMILY: =CB=CE=CC=E5; =
mso-bidi-font-size: 10.0pt; mso-bidi-font-family: 'Times New Roman'; =
mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: =
ZH-CN; mso-bidi-language: AR-SA">=A1=D6</SPAN>f(x)=20
=
<P>2=A3=AE=D4=DAF=B1=C6=BD=FCf=B5=C4=D5=FB=B8=F6=B9=FD=B3=CC=D6=D0=A3=AC=D0=
=E8=D2=AA=BC=D3=C9=CF=B8=BD=BC=D3=BF=D8=D6=C6V=D2=D4=B1=A3=D6=A4=D7=DC=CC=
=E5=CE=C8=B6=A8=D0=D4=A1=A3=20
=
<P>=BD=E2=BE=F6=B2=DF=D2=BB=B8=F6=CE=CA=CC=E2=B2=BB=C4=D1=A3=AC=B2=C9=D3=C3=
=C4=A3=BA=FD=C9=F1=BE=AD=CD=F8=C2=E7=BE=CD=BF=C9=D2=D4=CD=A8=B9=FD=B2=CE=CA=
=FD=D1=A7=CF=B0=B1=C6=BD=FCf=A1=A3=20
=
<P>=BD=E2=BE=F6=B5=DA=B6=FE=B8=F6=CE=CA=CC=E2=D4=F2=BF=C9=D2=D4=B2=C9=D3=C3=
=BB=AC=C4=A3=BF=D8=D6=C6=A1=A3=20
=
<P>=D5=E2=D6=D6=BF=D8=D6=C6=B7=BD=CA=BD=D6=BB=C4=DC=D3=C3=D3=DA=B7=B4=C0=A1=
=BF=C9=CF=DF=D0=D4=BB=AF=B5=C4=CF=B5=CD=B3=A1=A3=20
<P>=CE=E5=A1=A2=C6=E4=CB=FB=BF=D8=D6=C6=B7=BD=CA=BD=20
=
<P>=C6=E4=CB=FC=BF=D8=D6=C6=B7=BD=CA=BD=BB=B9=D3=D0=D4=F6=D2=E6=C5=C5=B1=ED=
=BF=D8=D6=C6(Gain Scheduling =
Control)=A3=AC=CB=E6=BB=FA=B7=BD=B7=A8=A3=AC=D4=F6=C7=BF=D1=A7=CF=B0(Rein=
forcement=20
=
learning)=B7=A8=B5=C8=A1=A3=D4=F6=D2=E6=C5=C5=B1=ED=BF=D8=D6=C6=D2=BB=B0=E3=
=D3=C3=D3=DA=D2=BB=BD=D7Sugeno=C4=A3=BA=FD=C4=A3=D0=CD=A3=AC=B6=F8=CB=E6=BB=
=FA=B7=BD=B7=A8=D2=BB=B0=E3=D3=C3=D3=DA=B8=B4=D4=D3=BF=D8=D6=C6=CF=B5=CD=B3=
=A1=A3=B6=D4=D3=DA=B6=D4=CF=F3=C4=A3=D0=CD=B2=BB=C7=E5=B3=FE=B5=C4=BB=F2=B2=
=BB=CA=C7=BA=DC=D3=D0=D0=A7=B5=C4=A3=AC=D4=F2=BF=C9=D2=D4=D3=C3=D4=F6=C7=BF=
=D1=A7=CF=B0=B7=BD=B7=A8=A1=A3=20
=
<P>4=A3=AE2=A3=AE2=B5=E4=D0=CD=B5=C4=C9=F1=BE=AD=C4=A3=BA=FD=BF=D8=D6=C6=CF=
=B5=CD=B3=20
=
<P>=C9=F1=BE=AD=C4=A3=BA=FD=BF=D8=D6=C6=CF=B5=CD=B3=BF=C9=D2=D4=D3=C3=B6=E0=
=D6=D6=C9=F1=BE=AD=CD=F8=C2=E7=C0=B4=CA=B5=CF=D6=A1=A3=D5=E2=D0=A9=C9=F1=BE=
=AD=CD=F8=C2=E7=BF=C9=D2=D4=CA=C7=D5=FD=CF=F2=C7=B0=C0=A1=CD=F8=C2=E7=A3=AC=
=D2=B2=BF=C9=D2=D4=CA=C7=B7=B4=C0=A1=CD=F8=C2=E7=A1=A3=BC=C8=BF=C9=D2=D4=D3=
=C3=C4=A3=BA=FD=C9=F1=BE=AD=CD=F8=C2=E7=A3=AC=D2=B2=BF=C9=D2=D4=D3=C3=BE=B6=
=CF=F2=BB=F9=BA=AF=CA=FD=A3=AC=D2=B2=BF=C9=D2=D4=D3=C3=B5=A5=CF=F2=CF=DF=D0=
=D4=CF=EC=D3=A6=BA=AF=CA=FD=D7=F7=CE=AA=BC=A4=B7=A2=BA=AF=CA=FD=B5=C4=C9=F1=
=BE=AD=D4=AA=A1=A3=D4=DA=D5=E2=D2=BB=BD=DA=D6=D0=A3=AC=B8=F8=B3=F6=C1=BD=CA=
=AE=B7=D6=B5=E4=D0=CD=B5=C4=C0=FD=D7=D3=A3=AC=D2=BB=B8=F6=CA=C7=B2=C9=D3=C3=
=C4=A3=BA=FD=CD=C6=C0=ED=CD=F8=C2=E7=B5=C4=C0=FD=D7=D3=A3=AC=D2=BB=B8=F6=CA=
=C7=B2=C9=D3=C3=B5=A5=CF=F2=CF=DF=D0=D4=CF=EC=D3=A6=BC=A4=B7=A2=BA=AF=CA=FD=
=B5=C4=C0=FD=D7=D3=A1=A3=CB=FC=C3=C7=B9=B9=B3=C9=C1=CB=BD=E1=B9=B9=B2=BB=CD=
=AC=B5=C4=C9=F1=BE=AD=C4=A3=BA=FD=BF=D8=D6=C6=CF=B5=CD=B3=A1=A3=B6=F8=CB=FC=
=C3=C7=B8=F7=D7=D4=D3=D0=D7=C5=C3=F7=CF=D4=B2=BB=CD=AC=B5=C4=CC=D8=B5=E3=A3=
=AC=B5=AB=D4=DA=D1=A7=CF=B0=C9=CF=B6=BC=CA=C7=C8=A1=B5=C3=BD=CF=BA=C3=B5=C4=
=D0=A7=B9=FB=A1=A3=20
=
<P>=D2=BB=A1=A2=C4=A3=BA=FD=CD=C6=C0=ED=CD=F8=C2=E7=B9=B9=B3=C9=B5=C4=BF=D8=
=D6=C6=CF=B5=CD=B3=20
=
<P>=D5=E2=CA=C7=D2=BB=B8=F6=B2=C9=D3=C3=BC=F2=BB=AF=C4=A3=BA=FD=CD=C6=C0=ED=
=CD=F8=C2=E7SFIN(Simplified Fuzzy Inference=20
=
Network)=D7=E9=B3=C9=B5=C4=C9=F1=BE=AD=C4=A3=BA=FD=BF=D8=D6=C6=CF=B5=CD=B3=
=A3=AC=D3=C9=D3=DA=B2=C9=D3=C3=C1=CB=C9=F1=BE=AD=CD=F8=C2=E7=A3=AC=B9=CA=B6=
=F8=D4=DA=CF=B5=CD=B3=D6=D0=B5=C4=BF=D8=D6=C6=C6=F7=CA=C7=D7=D4=D0=A3=D5=FD=
=C4=A3=BA=FD=C2=DF=BC=AD=BF=D8=D6=C6=C6=F7STFLC(Self-Tuning Fuzzy=20
Logic =
Controller)=A1=A3=CF=C2=C3=E6=B6=D4=D5=E2=B8=F6=CF=B5=CD=B3=BD=F8=D0=D0=BC=
=F2=D2=AA=BD=E9=C9=DC=A1=A3=20
<P>1=A3=AE=BC=F2=BB=AF=C4=A3=BA=FD=CD=C6=C0=ED=CD=F8=C2=E7=20
=
<P>=C4=A3=BA=FD=C2=DF=BC=AD=BF=D8=D6=C6=C6=F7=CA=C7=D6=B4=D0=D0Takagi-Sug=
eno=CD=C6=C0=ED=B5=C4=BF=D8=D6=C6=C6=F7=A3=AE=BF=BC=C2=C7=BF=D8=D6=C6=C6=F7=
=CE=AA=B6=E0=CA=E4=C8=EB=B5=A5=CA=E4=B3=F6=BD=E1=B9=B9=A1=A3=BF=D8=D6=C6=B9=
=E6=D4=F2=D3=D0=C8=E7=CF=C2=D0=CE=CA=BD=A3=BA=20
<P>if X is A<SUB>i</SUB> then y<SUB>i</SUB>=3Df<SUB>i</SUB>(X)=20
=
<P>=C6=E4=D6=D0=A3=BAX=3D[x<SUB>1</SUB>,x<SUB>2</SUB>,......,x<SUB>m</SUB=
>]<SUP>T</SUP>=20
<P> =20
=
A<SUB>i</SUB>=3D[A<SUB>1i</SUB>,A<SUB>2i</SUB>,......,A<SUB>mi</SUB>]=20
<P> =20
=
f<SUB>i</SUB>(X)=3D[P<SUB>0i</SUB>+P<SUB>1i</SUB>x<SUB>1</SUB>+......+P<S=
UB>mi</SUB>x<SUB>m</SUB>]=20
<P> i=3D1,2,......,n=A1=A3=20
=
<P>=D4=DA=BF=D8=D6=C6=B9=E6=D4=F2=D6=D0=A3=ACX=CA=C7=CA=E4=C8=EB=A3=BBA<S=
UB>i</SUB>=CA=C7=C4=A3=BA=FD=C1=BF=A3=BBA<SUB>ki</SUB>=CA=C7=B5=DAk=D2=BB=
=B8=F6=CA=E4=C8=EB=B7=D6=C1=BFx<SUB>k</SUB>=B5=C4=B5=DAi=B8=F6=C4=A3=B3=B9=
=C1=BF=A1=A3f<SUB>i</SUB>(X)=CA=C7=B6=D4=D3=A6=D3=DA=CA=E4=C8=CBx=B5=C4=CA=
=E4=B3=F6=A3=ACP<SUB>ki</SUB>=CA=C7=B5=DA6=B9=E6=D4=F2=D6=D0=BA=F3=BC=FE=B6=
=FE=CF=EE=CA=BD=D6=D0=B5=C4=CA=E4=C8=EB=C1=BF=CF=B5=CA=FD=A1=A3=20
=
<P>=B6=D4=D3=DA=B5=DAi=CC=F5=B9=E6=D4=F2=A3=AC=C6=E4=C6=A5=C5=E4=B6=C8=D3=
=C3D<SUB>i</SUB>=B1=ED=CA=BE=A3=AC=B2=A2=C7=D2=D3=D0=20
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