CD Norm VI

Owning Palette: Dynamic Characteristics VIs

Requires: Control Design and Simulation Module

Calculates the infinity-norm and 2-norm of linear time-invariant (LTI) systems. The 2-norm is infinite for unstable systems and for state-space systems whose D matrix is not equal to zero. The remaining delays become transport delays. Wire data to the State-Space Model input to determine the polymorphic instance to use or manually select the instance.

Details  

CD Norm (State-Space)

	State-Space Model contains a mathematical representation of and information about the system of which this VI determines the norm.
	Type specifies the method for calculating the norm. 0 2-norm (default)—Calculates ||H||2 1 infinity-norm—Calculates ||H||
	error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
	Norm returns the value of ||H||2 or ||H||, depending on the method specified in Type. The 2-norm is the RMS of the output when white noise of unit intensity excites the system. The infinity-norm is the maximum magnification of the frequency response of the system.
	Frequency returns the value, in rad/s, at which this VI evaluates ||H||. Frequency is undefined for ||H||2 and has a value of NaN.
	error out contains error information. This output provides standard error out functionality.

CD Norm (Transfer Function)

	Transfer Function Model contains a mathematical representation of and information about the system of which this VI determines the norm.
	Type specifies the method for calculating the norm. 0 2-norm (default)—Calculates ||H||2 1 infinity-norm—Calculates ||H||
	error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
	Norm returns the value of ||H||2 or ||H||, depending on the method specified in Type. The 2-norm is the RMS of the output when white noise of unit intensity excites the system. The infinity-norm is the maximum magnification of the frequency response of the system.
	Frequency returns the value, in rad/s, at which this VI evaluates ||H||. Frequency is undefined for ||H||2 and has a value of NaN.
	error out contains error information. This output provides standard error out functionality.

CD Norm (Zero-Pole-Gain)

	Zero-Pole-Gain Model contains a mathematical representation of and information about the system of which this VI determines the norm.
	Type specifies the method for calculating the norm. 0 2-norm (default)—Calculates ||H||2 1 infinity-norm—Calculates ||H||
	error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
	Norm returns the value of ||H||2 or ||H||, depending on the method specified in Type. The 2-norm is the RMS of the output when white noise of unit intensity excites the system. The infinity-norm is the maximum magnification of the frequency response of the system.
	Frequency returns the value, in rad/s, at which this VI evaluates ||H||. Frequency is undefined for ||H||2 and has a value of NaN.
	error out contains error information. This output provides standard error out functionality.

CD Norm 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 when calculating the dynamic characteristics of a system, 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.