SystemsModelSeriesConnect
SystemsModelSeriesConnect[sys1,sys2]
connects systems models sys1 and sys2 in series.
SystemsModelSeriesConnect[sys1,sys2,{{out11,in21},…}]
connects outputs out1i of sys1 to inputs in2i of sys2.
Details
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- The systems model sysi can be a TransferFunctionModel, StateSpaceModel, AffineStateSpaceModel, or NonlinearStateSpaceModel.
- The inputs and outputs of the system produced by SystemsModelSeriesConnect are the inputs of sys1 and the outputs of sys2, respectively.
- The arguments in1i and out1i are integers specifying the positions of the input or output channels.
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Examples
open allclose allBasic Examples (4)
Scope (13)
Basic Uses (5)
Connect multivariable systems:
Connect the second output from the first system to the first input of the second system:
Connect discrete-time systems:
Connect a StateSpaceModel to a TransferFunctionModel:
System Types (8)
Connect two TransferFunctionModel systems:
Using improper transfer functions:
Connect two StateSpaceModel systems:
Using descriptor state-space models:
Input linear AffineStateSpaceModel systems:
General nonlinear NonlinearStateSpaceModel systems:
Connecting a transfer function and a state-space model will give a state-space model:
Reversing the order gives an equivalent state-space model:
They give the same transfer functions:
Connecting a standard linear system and an input linear system will give an affine model:
Connecting a linear or affine system with a nonlinear system gives a nonlinear model:
Applications (4)
A function that connects any number of matching systems in series:
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Connect a family of first-order systems in series:
Connect several multiple-input, multiple-output systems:
The cascade of four abstract systems:
The tree structure of the cascade:
Create a positioning system with a power amplifier, motor, and angular rate sensor in series:
Visualize the open-loop step response:
Integrate the last output of a three-output system:
Use SystemsModelSeriesConnect in multi-loop reduction:
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Properties & Relations (8)
The resulting system has the inputs of the first system and the outputs of the second system:
SystemsModelSeriesConnect is a special case of SystemsConnectionsModel:
SystemsModelSeriesConnect does not cancel poles and zeros:
A system made from series and parallel connections has the same poles as the subsystems:
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The order of the reduced system is the sum of the orders of the subsystems:
SystemsModelSeriesConnect is essentially a flat function:
Series connections are equivalent to multiplication without any pole-zero cancellation:
Take the Laplace transform of the convolution of two impulse responses:
Text
Wolfram Research (2010), SystemsModelSeriesConnect, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemsModelSeriesConnect.html (updated 2014).
CMS
Wolfram Language. 2010. "SystemsModelSeriesConnect." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/SystemsModelSeriesConnect.html.
APA
Wolfram Language. (2010). SystemsModelSeriesConnect. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SystemsModelSeriesConnect.html