CD Controllability Staircase VI

Control Design VI and Function

CD Controllability Staircase VI

Owning Palette: State-Space Model Analysis VIs

Installed With: Control Design and Simulation Module

Calculates the controllable staircase similarity transformation of the State-Space Model. You can use the staircase representation to identify controllable and uncontrollable states by simple inspection of the A and B matrices of the transformed model.

Details  

 Place on the block diagram  Find on the Functions palette
State-Space Model contains a mathematical representation of and information about the system for which this VI determines staircase transformation.
Tolerance determines the threshold value below which this VI considers a diagonal entry in the system matrix A of the State-Space Model zero. The default is 0.0001.
Controllable Block Location determines if the controllable block is in the upper left or bottom right corner of the transformed matrix.

0up (default)—The controllable block is in the upper left corner of the transformed matrix.
1down—The controllable block is in the bottom right corner of the transformed matrix.
error in describes error conditions that occur before this VI or function runs. The default is no error. If an error occurred before this VI or function runs, the VI or function passes the error in value to error out. This VI or function runs normally only if no error occurred before this VI or function runs. If an error occurs while this VI or function runs, it runs normally and sets its own error status in error out. Use the Simple Error Handler or General Error Handler VIs to display the description of the error code. Use exception control to treat what is normally an error as no error or to treat a warning as an error. Use error in and error out to check errors and to specify execution order by wiring error out from one node to error in of the next node.
status is TRUE (X) if an error occurred before this VI or function ran or FALSE (checkmark) to indicate a warning or that no error occurred before this VI or function ran. The default is FALSE.
code is the error or warning code. The default is 0. If status is TRUE, code is a nonzero error code. If status is FALSE, code is 0 or a warning code.
source specifies the origin of the error or warning and is, in most cases, the name of the VI or function that produced the error or warning. The default is an empty string.
Transformed Model returns the transformed system model in staircase form.
Transformation Matrix (T) returns the matrix use for the similarity transformation.
Controllable States returns the number of controllable states this VI finds per iteration of the calculation that the VI performs to get T. The sum of elements in this array is the total number of controllable states.
error out contains error information. If error in indicates that an error occurred before this VI or function ran, error out contains the same error information. Otherwise, it describes the error status that this VI or function produces. Right-click the error out front panel indicator and select Explain Error from the shortcut menu for more information about the error.
status is TRUE (X) if an error occurred or FALSE (checkmark) to indicate a warning or that no error occurred.
code is the error or warning code. If status is TRUE, code is a nonzero error code. If status is FALSE, code is 0 or a warning code.
source describes the origin of the error or warning and is, in most cases, the name of the VI or function that produced the error or warning.

CD Controllability Staircase 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.