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📄 2.3 神经网络控制系统.mht

📁 神经网络模型介绍神经网络模型的定义,理论的推导以及仿真图表
💻 MHT
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      <DIV align=3Dcenter>
      <CENTER>
      <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D"80%" border=3D0>
        <TBODY>
        <TR>
          <TD width=3D"50%"><IMG height=3D51=20
            =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht20.gif"=20
            width=3D288 border=3D0></TD>
          <TD =
width=3D"50%">(2.69)</TD></TR></TBODY></TABLE></CENTER></DIV></TD></TR>
  <TR>
    <TD width=3D"100%" height=3D414>
      =
<P>=BF=C9=BC=FB=A3=AC=D2=FD=C0=ED=B5=C4=D0=D4=D6=CA(2)=B3=C9=C1=A2=A1=A3 =
</P>
      <P>=D6=A4=B1=CF=A1=A3</P>
      =
<P>=D3=D0=C1=CB=C9=CF=C3=E6=B5=C4=D2=FD=C0=ED=A3=AC=BE=CD=BF=C9=D2=D4=B8=F8=
=B3=F6=D3=C9=CA=BD(2=A3=AE53)=A1=AA(2=A3=AE59)=D7=E9=B3=C9=B5=C4=BF=D8=D6=
=C6=BD=E1=B9=B9=B6=D4=B6=D4=CF=F3=CA=BD(2=A3=AE52)=D6=B4=D0=D0=CA=CA=D3=A6=
=BF=D8=D6=C6=B5=C4=B1=D5=BB=B7=D0=D4=D6=CA=B6=A8=C0=ED=A1=A3</P>
      =
<P>=B6=A8=C0=ED=A3=BA=D4=DA=B6=D4=CF=F3=D3=C9=CA=BD(2=A3=AE52)=C3=E8=CA=F6=
=B5=C4=BF=D8=D6=C6=D6=D0=A3=AC=CA=BD(2=A3=AE53)=A1=AA(2=A3=AE59)=B9=B9=B3=
=C9=B5=C4=CA=CA=D3=A6=BF=D8=D6=C6=D3=D0=C8=E7=CF=C2=B5=C4=B1=D5=BB=B7=D0=D4=
=D6=CA=A3=BA</P>
      =
<P>(1)=CA=E4=C8=EB=D0=C5=BA=C5u(t)=A3=AC=CA=E4=B3=F6=D0=C5=BA=C5y(t)=B6=BC=
=CA=C7=D3=D0=BD=E7=B5=C4=A1=A3</P>
      <P><IMG height=3D30=20
      =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht21.gif"=20
      width=3D230 border=3D0></P>
      <P>=D6=A4=C3=F7=A3=BA</P>
      =
<P>=C9=E8=CF=B5=CD=B3=B5=C4=B8=FA=D7=D9=CE=F3=B2=EE=D3=C3e'(k)=B1=ED=CA=BE=
</P>
      =
<P>e'(k)=3Dy(k)-r(k)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
      (2.70)</P>
      <P>y(k)=D3=C9=CA=BD(2=A3=AE61)=B8=F8=B3=F6=A1=A3</P>
      =
<P>r(k)=BF=C9=D3=C9=CA=BD(2=A3=AE57)=A3=AC(2=A3=AE58)=A3=AC(2=A3=AE59)=C7=
=F3=B3=F6=A3=AC=CF=C8=D3=C3W<SUB>n+1</SUB>(k)=B3=CB=A1=B22=A3=AE59)=C1=BD=
=B1=DF=A3=AC=D4=F2=D3=D0</P>
      =
<P>W<SUB>n+1</SUB>(k-1)u(k-1)=3Dr(k)+W<SUB>1</SUB>(k-1)(-X<SUB>1</SUB>(k-=
1))+.....,+W<SUB>n</SUB>(k-1)(-X<SUB>n</SUB>(k-1))+W<SUB>n+2</SUB>(k-1)(-=
X<SUB>n+2</SUB>(k-1))+......,Wn+m(k-1)(-Xn+m(k-1))</P>
      <P>=D5=FB=C0=ED=BA=F3=D3=D0</P>
      =
<P>r(k)=3DW<SUB>1</SUB>(k-1)X<SUB>1</SUB>(k-1)+......,+W<SUB>n</SUB>(k-1)=
X<SUB>n</SUB>(k-1)+W<SUB>n+1</SUB>(k-1)u(k-1)+W<SUB>n+2</SUB>(k-1)X<SUB>n=
+2</SUB>(k-1)+......,+W<SUB>n+m</SUB>(k-1)X<SUB>n+m</SUB>(k-1)</P>
      <P align=3Dright>(2.71)&nbsp;&nbsp;&nbsp;&nbsp;</P>
      <P>=D3=C9=D3=DA u(k-1)=3DXn+1(k-1)</P>
      <P>=B9=CA=B6=F8=D3=D0</P>
      <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D"80%" =
align=3Dcenter border=3D0>
        <TBODY>
        <TR>
          <TD width=3D"71%"><IMG height=3D43=20
            =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht22.gif"=20
            width=3D288 border=3D0></TD>
          <TD width=3D"29%">(2.72)</TD></TR>
        <TR>
          <TD width=3D"71%"><FONT =
size=3D2>=B4=D3=CA=BD(2.61)=BA=CD=CA=BD(2.72)=A3=AC=D4=F2=D3=D0</FONT></T=
D>
          <TD width=3D"29%"></TD></TR>
        <TR>
          <TD width=3D"71%"><IMG height=3D111=20
            =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht23.gif"=20
            width=3D448 border=3D0></TD>
          <TD width=3D"29%">(2.73)</TD></TR>
        <TR>
          <TD width=3D"71%"><FONT =
size=3D2>=B4=D3=D2=FD=C0=ED=B5=C4=D0=D4=D6=CA(2)=D3=D0</FONT></TD>
          <TD width=3D"29%"></TD></TR>
        <TR>
          <TD width=3D"71%"><IMG height=3D52=20
            =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht25.gif"=20
            width=3D274 border=3D0></TD>
          <TD width=3D"29%">(2.74)</TD></TR></TBODY></TABLE></TD></TR>
  <TR>
    <TD width=3D"100%" height=3D2>
      =
<P>=D6=BB=D2=AA=D6=A4=C3=F7x<SUP>T</SUP>(k-1)x(k-1)=CA=C7=D3=D0=BD=E7=B5=C4=
=A3=AC=BE=CD=BF=C9=D2=D4=D6=A4=C3=F7e(<SPAN=20
      style=3D"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>)=A3=BD0=A3=AC=D2=B2=BE=CD=BF=C9=D2=D4=D6=A4=C3=F7=B6=
=A8=C0=ED=D6=D0=B5=C4=D0=D4=D6=CA(2)=A1=A3=20
      </P>
      <P>=CF=C2=C3=E6=D6=A4=C3=F7<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=AC</SPAN>x(k-1)<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=AC</SPAN>=D3=D0=CF=DE=A1=A3</P>
      =
<P>=B4=D3=B6=D4=CF=F3=CA=BD(2=A3=AE52)=D3=D0=B9=D8=CC=F5=BC=FE=A3=AC=B6=D4=
=CF=F3=B5=C4=CA=E4=C8=EB=CA=E4=B3=F6=D0=C5=BA=C5=C2=FA=D7=E3</P>
      <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D"80%" =
align=3Dcenter border=3D0>
        <TBODY>
        <TR>
          <TD width=3D"71%"><IMG height=3D33=20
            =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht24.gif"=20
            width=3D288 border=3D0></TD>
          <TD width=3D"29%">(2.75)</TD></TR></TBODY></TABLE></TD></TR>
  <TR>
    <TD width=3D"100%" height=3D39>
      <P>=C6=E4=D6=D0=A3=BA1<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=DC</SPAN>i<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=DC</SPAN>k=A3=BBm<SUB>1</SUB>&lt;<SPAN=20
      style=3D"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>=A3=BBm<SUB>2</SUB>&lt;<SPAN=20
      style=3D"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=A1=A3</SPAN>=20
      </P>
      =
<P>=B8=F9=BE=DD=CA=BD(2=A3=AE52)=B6=D4=CF=F3=B5=C4=C2=FA=D7=E3=CC=F5=BC=FE=
=A3=AC=B4=D3=CA=BD(2=A3=AE53)=D4=F2=D3=D0</P>
      <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D"80%" =
align=3Dcenter border=3D0>
        <TBODY>
        <TR>
          <TD width=3D"71%"><IMG height=3D36=20
            =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht26.gif"=20
            width=3D512 border=3D0></TD>
          <TD width=3D"29%">(2.76)</TD></TR>
        <TR>
          <TD width=3D"71%"><FONT =
size=3D2>=BC=C8=C8=BB=A3=AC=B8=F8=B6=A8=D0=C5=BA=C5r=CA=C7=D3=D0=BD=E7=B5=
=C4=A3=AC=CB=F9=D2=D4=B8=FA=D7=D9=CE=F3=B2=EE=D3=D0</FONT></TD>
          <TD width=3D"29%"></TD></TR>
        <TR>
          <TD width=3D"71%"><IMG height=3D31=20
            =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht27.gif"=20
            width=3D364 border=3D0></TD>
          <TD width=3D"29%">(2.77)</TD></TR></TBODY></TABLE></TD></TR>
  <TR>
    <TD width=3D"100%" height=3D6>
      <P>=B4=D3=B6=F8=D3=D0|e'(k)|+m3<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=DD</SPAN>|y(k)|=20
      </P>
      =
<P>=D3=C9=B4=CB=A3=AC=CA=BD(2=A3=AE76)=BF=C9=D2=D4=D0=B4=CE=AA=A3=BA</P>
      <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D"80%" =
align=3Dcenter border=3D0>
        <TBODY>
        <TR>
          <TD width=3D"86%"><IMG height=3D42=20
            =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht28.gif"=20
            width=3D701 border=3D0></TD>
          <TD width=3D"14%">(2.78)</TD></TR></TBODY></TABLE></TD></TR>
  <TR>
    <TD width=3D"100%" height=3D70>
      <P>=C6=E4=D6=D0=A3=BA0<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=DC</SPAN>C<SUB>1</SUB><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=DC</SPAN><SPAN=20
      style=3D"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>=A3=BB0<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=DC</SPAN>C<SUB>2</SUB><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=DC</SPAN><SPAN=20
      style=3D"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>=A1=A3=20
      </P>
      =
<P>=BC=D9=C9=E8=B8=FA=D7=D9=CE=F3=B2=EEe'(k)=D3=D0=BD=E7=A3=AC=D4=F2=B4=D3=
=CA=BD(2=A3=AE78)=BF=C9=D6=AA=A3=BA<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=AC</SPAN>x(k)<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=AC</SPAN>=CD=AC=D1=F9=D3=D0=BD=E7=A3=BB=D5=E2=D1=F9=B4=D3=CA=BD=
(2=A3=AE74)=BF=C9=D6=AA</P>
      <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D"80%" =
align=3Dcenter border=3D0>
        <TBODY>
        <TR>
          <TD width=3D"71%"><IMG height=3D35=20
            =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht30.gif"=20
            width=3D128 border=3D0></TD>
          <TD width=3D"29%">(2.79)</TD></TR>
        <TR>
          <TD width=3D"71%"><FONT =
size=3D2>=CF=D4=C8=BB=A3=AC=B6=A8=C0=ED=B5=C4=D0=D4=D6=CA(2)=B3=C9=C1=A2=A1=
=A3=20
            =
<BR>=BC=D9=C9=E8=B8=FA=D7=D9=CE=F3=B2=EEe'(k)=CE=DE=BD=E7=A3=AC=D4=F2=B4=E6=
=D4=DA=CA=B1=BF=CC=D0=F2=C1=D0|kn|=A3=AC=C1=EE</FONT></TD>
          <TD width=3D"29%"></TD></TR>
        <TR>
          <TD width=3D"71%"><IMG height=3D42=20
            =
src=3D"http://www.funnyai.com/AI/Book/DigtalNN/5.3.files/5.3.ht29.gif"=20
            width=3D160 border=3D0></TD>
          <TD width=3D"29%">(2.80)</TD></TR></TBODY></TABLE></TD></TR>
  <TR>
    <TD width=3D"100%">
      <P>=C8=A1m4=A3=BDmax(1=A3=AC<SPAN=20

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