WOLFRAM

Wolfram 语言与系统参考资料中心

SystemsModelExtract[sys,{in1,…}]

提取与位置 ini 处的输入相关联的系统模型 sys 相关联的子系统.

SystemsModelExtract[sys,{in1,…},{out1,…}]

提取分别与位置 ini 和 outi 处的输入和输出相关联的子系统.

SystemsModelExtract[sys,{in1,…},{out1,…},{s1,…}]

提取分别与 ini、outi 和 si 处的输入、输出和状态相关联的状态空间模型 sys 的子系统.

更多信息
Details and Options Details and Options
范例  
基本范例  
范围  
应用  
属性和关系  
参见
相关指南
历史
按以下格式引用：

SystemsModelExtract

SystemsModelExtract[sys,{in1,…}]

提取与位置 ini 处的输入相关联的系统模型 sys 相关联的子系统.

SystemsModelExtract[sys,{in1,…},{out1,…}]

提取分别与位置 ini 和 outi 处的输入和输出相关联的子系统.

SystemsModelExtract[sys,{in1,…},{out1,…},{s1,…}]

提取分别与 ini、outi 和 si 处的输入、输出和状态相关联的状态空间模型 sys 的子系统.

更多信息

范例

打开所有单元 关闭所有单元

基本范例  (2)

提取与第一个输入和第三个输出相关联的子系统：

Wolfram Language code: SystemsModelExtract[TransferFunctionModel[{{{1, 0}, {2, s}, {2, s^2}}, {{0.5 + s, 1}, {1, 3 + 0.1*s + s^2}, {1 + 2*s + s^2, 1 + 3*s^2 + s^3}}}, s], {1}, {3}]

提取与前两个状态相关联的子系统：

Wolfram Language code: SystemsModelExtract[StateSpaceModel[{{{Subscript[a, 1], 0, 0}, {0, Subscript[a, 2], 0}, {0, 0, Subscript[a, 3]}}, {{Subscript[b, 1], 0, 0}, {0, Subscript[b, 2], 0}, {0, 0, Subscript[b, 3]}}, {{Subscript[c, 1], 0, 0}, {0, Subscript[c, 2], 0}, {0, 0, Subscript[c, 3]}}, {{Subscript[d, 1], 0, 0}, {0, Subscript[d, 2], 0}, {0, 0, Subscript[d, 3]}}}, SamplingPeriod -> None, SystemsModelLabels -> None], All, All, {1, 2}]

范围  (8)

提取与三输入系统的第一个输入相关联的子系统：

Wolfram Language code: SystemsModelExtract[TransferFunctionModel[{{{s, 4*s, 3}, {1, 1, 1}}, {{3 + s, 2 + s, 2 + s}, {3 + s, s, s}}}, s, SystemsModelLabels -> {{Subscript[u, 1], Subscript[u, 2], Subscript[u, 3]}, {Subscript[y, 1], Subscript[y, 2]}}], {1}]

与第二个输出相关联的子系统：

Wolfram Language code: SystemsModelExtract[TransferFunctionModel[{{{s, 4*s, 3}, {1, 1, 1}}, {{3 + s, 2 + s, 2 + s}, {3 + s, s, s}}}, s, SystemsModelLabels -> {{Subscript[u, 1], Subscript[u, 2], Subscript[u, 3]}, {Subscript[y, 1], Subscript[y, 2]}}], All, {2}]

提取对应于第一和第二个输入，以及第三和第四个输出的子系统：

Wolfram Language code: SystemsModelExtract[StateSpaceModel[{{{-1, 0, 0, 0}, {0, -3, 0, 0}, {0, 0, -4, 0}, {0, 0, 0, -8}}, {{1, 0, 0}, {1, -1, 0}, {0, 0, 1}, {1, 1, 0}}, {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}}, {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}}}, SamplingPeriod -> None, SystemsModelLabels -> None], {1, 2}, {3, 4}]

提取与状态空间模型的第二个和第三个状态相关联的子系统：

Wolfram Language code: SystemsModelExtract[StateSpaceModel[{{{-1, 0, 0, 0}, {0, -3, 0, 0}, {0, 0, -4, 0}, {0, 0, 0, -8}}, {{1, 0, 0}, {1, -1, 0}, {0, 0, 1}, {1, 1, 0}}, {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}}, {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}, {0, 0, 0}}}, SamplingPeriod -> None, SystemsModelLabels -> None], All, All, {2, 3}]

与第三个和第四个状态相关联的子系统：

Wolfram Language code: SystemsModelExtract[StateSpaceModel[{{{1, 2, 0, 0}, {0, 2, 0, 0}, {2, 1, 0, 1}, {0, 2, 1, 1}}, {{0}, {0}, {1}, {0}}, {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}}, {{0}, {0}, {0}, {0}}}, SamplingPeriod -> None, SystemsModelLabels -> None], All, All, {3, 4}]

提取描述符 StateSpaceModel 的最后两个状态：

Wolfram Language code: SystemsModelExtract[StateSpaceModel[{{{Subscript[a, 11], Subscript[a, 12], Subscript[a, 13]}, {Subscript[a, 21], Subscript[a, 22], Subscript[a, 23]}, {Subscript[a, 31], Subscript[a, 32], Subscript[a, 33]}}, {{Subscript[b, 1]}, {Subscript[b, 2]}, {Subscript[b, 3]}}, {{Subscript[c, 1], Subscript[c, 2], Subscript[c, 3]}}, {{d}}, {{Subscript[e, 11], Subscript[e, 12], Subscript[e, 13]}, {Subscript[e, 21], Subscript[e, 22], Subscript[e, 23]}, {Subscript[e, 31], Subscript[e, 32], Subscript[e, 33]}}}, SamplingPeriod -> None, SystemsModelLabels -> None], All, All, {-2, -1}]

提取 AffineStateSpaceModel 的第一个和第二个状态：

Wolfram Language code: SystemsModelExtract[AffineStateSpaceModel[{{Subscript[a, 1][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]], Subscript[a, 2][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]], Subscript[a, 3][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}, {{Subscript[b, 1][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}, {Subscript[b, 2][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}, {Subscript[b, 3][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}}, {c[Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}, {{d[Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}}}, {{Subscript[x, 1], Subscript[x, 10]}, {Subscript[x, 2], Subscript[x, 20]}, {Subscript[x, 3], Subscript[x, 30]}}, Automatic, {Automatic}, Automatic, SamplingPeriod -> None], All, All, {1, 2}]

默认情况下认为工作点为零：

Wolfram Language code: SystemsModelExtract[AffineStateSpaceModel[{{Subscript[a, 1][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]], Subscript[a, 2][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]], Subscript[a, 3][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}, {{Subscript[b, 1][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}, {Subscript[b, 2][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}, {Subscript[b, 3][Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}}, {c[Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}, {{d[Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]]}}}, {Subscript[x, 1], Subscript[x, 2], Subscript[x, 3]}, Automatic, {Automatic}, Automatic, SamplingPeriod -> None], All, All, {1, 2}]

提取 NonlinearStateSpaceModel 的第一个输入：

Wolfram Language code: SystemsModelExtract[NonlinearStateSpaceModel[{{f[x, Subscript[u, 1], Subscript[u, 2]]}, {g[x, Subscript[u, 1], Subscript[u, 2]]}}, {x}, {Subscript[u, 1], Subscript[u, 2]}, {Automatic}, Automatic, SamplingPeriod -> None], 1]

一个有非零工作点的系统：

Wolfram Language code: SystemsModelExtract[NonlinearStateSpaceModel[{{f[x, Subscript[u, 1], Subscript[u, 2]]}, {g[x, Subscript[u, 1], Subscript[u, 2]]}}, {{x, Subscript[x, 0]}}, {{Subscript[u, 1], Subscript[u, 10]}, {Subscript[u, 2], Subscript[u, 20]}}, {Automatic}, Automatic, SamplingPeriod -> None], 1]

应用  (4)

对系统的输入重新排列：

Wolfram Language code: SystemsModelExtract[StateSpaceModel[{{{Subscript[a, 1], 0, 0}, {0, Subscript[a, 2], 0}, {0, 0, Subscript[a, 3]}}, {{Subscript[b, 1], 0, 0}, {0, Subscript[b, 2], 0}, {0, 0, Subscript[b, 3]}}, {{Subscript[c, 1], 0, 0}, {0, Subscript[c, 2], 0}, {0, 0, Subscript[c, 3]}}, {{Subscript[d, 1], 0, 0}, {0, Subscript[d, 2], 0}, {0, 0, Subscript[d, 3]}}}, SamplingPeriod -> None, SystemsModelLabels -> None], {1, 3, 2}]

对输出重新排列：

Wolfram Language code: SystemsModelExtract[StateSpaceModel[{{{Subscript[a, 1], 0, 0}, {0, Subscript[a, 2], 0}, {0, 0, Subscript[a, 3]}}, {{Subscript[b, 1], 0, 0}, {0, Subscript[b, 2], 0}, {0, 0, Subscript[b, 3]}}, {{Subscript[c, 1], 0, 0}, {0, Subscript[c, 2], 0}, {0, 0, Subscript[c, 3]}}, {{Subscript[d, 1], 0, 0}, {0, Subscript[d, 2], 0}, {0, 0, Subscript[d, 3]}}}, SamplingPeriod -> None, SystemsModelLabels -> None], All, {2, 3, 1}]

对状态重新排列：

Wolfram Language code: SystemsModelExtract[StateSpaceModel[{{{Subscript[a, 1], 0, 0}, {0, Subscript[a, 2], 0}, {0, 0, Subscript[a, 3]}}, {{Subscript[b, 1], 0, 0}, {0, Subscript[b, 2], 0}, {0, 0, Subscript[b, 3]}}, {{Subscript[c, 1], 0, 0}, {0, Subscript[c, 2], 0}, {0, 0, Subscript[c, 3]}}, {{Subscript[d, 1], 0, 0}, {0, Subscript[d, 2], 0}, {0, 0, Subscript[d, 3]}}}, SamplingPeriod -> None, SystemsModelLabels -> None], All, All, {2, 1, 3}]

利用 SystemsModelExtract 获取一个 MIMO 系统中单个子系统的响应：

Wolfram Language code: tfm = TransferFunctionModel[{{{1, s}, {1, s}, {1, 1}}, {{1 + s, 2 + s}, {2 + s, 3 + 0.1*s + s^2}, {1 + 2*s + s^2, 9 + s^2}}}, s];
Wolfram Language code: subSystems = Outer[SystemsModelExtract[tfm, #1, #2]&, Sequence@@(Range /@ SystemsModelDimensions[tfm])]//Transpose;

每个子系统的单位阶跃输入的输出响应：

Wolfram Language code: Map[Plot[OutputResponse[#, UnitStep[t], {t, 10}]//Evaluate, {t, 0, 10}, PlotRange -> All]&, subSystems, {2}]//TableForm

所有子系统的输出响应：

Wolfram Language code: Plot[OutputResponse[tfm, {UnitStep[t], UnitStep[t]}, {t, 10}]//Evaluate, {t, 0, 10}, PlotRange -> All]

每个子系统的奈奎斯特图：

Wolfram Language code: Map[NyquistPlot, subSystems, {2}]//TableForm

将一个 MIMO 系统的特定输入的特定输出的响应可视化：

Wolfram Language code: tfm = TransferFunctionModel[{{{1 + s, -1 - s}, {-1 + s, 1 + s}}, {{2 + s, (-1 + s)*(2 + s)}, {2 + s, 2 + s}}}, s];

对仅应用于第一个输入的单位阶跃的输出的响应：

Wolfram Language code: Plot[OutputResponse[SystemsModelExtract[tfm, 1], UnitStep[t], {t, 10}]//Evaluate, {t, 0, 10}]

对两个输入中的励磁的第二个输出的响应：

Wolfram Language code: Plot[OutputResponse[SystemsModelExtract[tfm, All, 2], {Sin[t], Sin[3t]}, {t, 20}]//Evaluate, {t, 0, 20}]

在某些情况下，可能可以通过视觉上的观察，提取一个模型的能控和能观测的子系统：

Wolfram Language code: ssm = StateSpaceModel[{{{1, 0, 0, 0}, {0, 1, 1, 0}, {0, 1, 0, 0}, {0, 0, 0, 1}}, {{1, 0}, {0, 1}, {0, 1}, {0, 0}}, {{0, 2, 1, 0}}, {{0, 0}}}, SamplingPeriod -> None, SystemsModelLabels -> None];
Wolfram Language code: {ControllableModelQ[ssm], ObservableModelQ[ssm]}

只有前三个模态是能控的：

Wolfram Language code: SystemsModelExtract[ssm, All, All, {1, 2, 3}]

ControllableDecomposition 给出相同的结果：

Wolfram Language code: ControllableDecomposition[ssm]//Last

只有模态 2 和模态 3 是能观测的：

Wolfram Language code: SystemsModelExtract[ssm, All, All, {2, 3}]

ObservableDecomposition 给出相同的结果：

Wolfram Language code: ObservableDecomposition[ssm]//Last

属性和关系  (1)

SystemsModelExtract 和 SystemsModelDelete 中的参数是互补的：

Wolfram Language code: ssm = StateSpaceModel[{Array[Subscript[a, ##]&, {5, 5}], Array[Subscript[b, ##]&, {5, 3}], Array[Subscript[c, ##]&, {4, 5}]}]
Wolfram Language code: SystemsModelExtract[ssm, {1, 2}, {3, 4}, {2, 5}]
Wolfram Language code: SystemsModelDelete[ssm, Complement[Range[3], {1, 2}], Complement[Range[4], {3, 4}], Complement[Range[5], {2, 5}]]
Wolfram Research (2010)，SystemsModelExtract，Wolfram 语言函数，https://reference.wolfram.com/language/ref/SystemsModelExtract.html （更新于 2014 年）.

文本

Wolfram Research (2010)，SystemsModelExtract，Wolfram 语言函数，https://reference.wolfram.com/language/ref/SystemsModelExtract.html （更新于 2014 年）.

CMS

Wolfram 语言. 2010. "SystemsModelExtract." Wolfram 语言与系统参考资料中心. Wolfram Research. 最新版本 2014. https://reference.wolfram.com/language/ref/SystemsModelExtract.html.

APA

Wolfram 语言. (2010). SystemsModelExtract. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/ref/SystemsModelExtract.html 年

BibTeX

@misc{reference.wolfram_2026_systemsmodelextract, author="Wolfram Research", title="{SystemsModelExtract}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/SystemsModelExtract.html}", note=[Accessed: 03-November-2026]}

BibLaTeX

@online{reference.wolfram_2026_systemsmodelextract, organization={Wolfram Research}, title={SystemsModelExtract}, year={2014}, url={https://reference.wolfram.com/language/ref/SystemsModelExtract.html}, note=[Accessed: 03-November-2026]}