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CD Balance State-Space Model (Grammians) VI

LabVIEW 2012 Control Design and Simulation Module Help

Edition Date: June 2012

Part Number: 371894G-01

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Owning Palette: State-Space Model Analysis VIs

Requires: Control Design and Simulation Module

Calculates a Balanced State-Space Model based on Grammians. The resulting balanced transformation has identical controllability and observability diagonal Grammians.

This VI returns the similarity Transformation Matrix that this VI uses in transforming the given system. This VI renames the names of the states using the default names after the transformation.

Details  

State-Space Model contains a mathematical representation of and information about a system that this VI transforms.
error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
Balanced Model returns the model that results from applying the Transformation Matrix (T) to the State-Space Model.
Transformation Matrix (T) returns the matrix T that this VI uses to transform the system. The calculation of T is based on the Cholesky decomposition of the Grammians of the original system.
Diagonal of Grammian returns the resulting observability and controllability Grammians of the Balanced Model.
error out contains error information. This output provides standard error out functionality.

CD Balance State-Space Model (Grammians) Details

This VI does not support delays unless the delays are part of the mathematical model that represents the dynamic system. To account for the delays in the synthesis of the controller, you must incorporate the delays into the mathematical model of the dynamic system using the CD Convert Delay with Pade Approximation VI (continuous models) or the CD Convert Delay to Poles at Origin VI (discrete models). Refer to the LabVIEW Control Design User Manual for more information about delays and the limitations of Pade Approximation.


 

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