norm (Control Design and Simulation Module, MathScript Function)

LabView Control Design MathScript Functions

norm (Control Design and Simulation Module, MathScript Function)

Member of the dynchar class.

Syntax

normval = norm(SysIn)

normval = norm(SysIn, type)

[normval, w] = norm(SysIn)

[normval, w] = norm(SysIn, type)

Description

Calculates the H-infinity or the H-2 norm of a system model.

Examples

Inputs

Name Description
SysIn Specifies a linear time-invariant (LTI) model in transfer function, zero-pole-gain, or state-space form.
type Specifies the type of norm you want to calculate. type is an integer that can take the following values:

2 (Default) Specifies that this function calculates the H-2 norm, or ||H|| 2, of the SysIn model.
inf Specifies that this function calculates the H-infinity norm, or ||H||, of the SysIn model.

Outputs

Name Description
normval Returns the H-infinity or H-2 norm of the SysIn model, depending on the value you specify for the type input. The 2-norm is infinite for unstable models and for state-space models whose D matrix does not equal zero. normval is a real scalar.
w Returns the frequency, in radians per second, at which this function evaluates the H-infinity norm. This output is undefined if you calculate the H-2 norm of the model. freq is a real scalar.

Examples

SysIn = tf([1], [1, 1])
[normval, w] = norm(SysIn, inf)

Related Topics

pole
damp
dcgain