MATLAB CONTROL SYSTEM TOOLBOX 9 Specifiche Scaricare il pdf (Pagina 535)

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101

sigma

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16sigma

Purpose Singular values of the frequency response of LTI models

Syntax sigma(sys)

sigma(sys,w)

sigma(sys,w,type)

sigma(sys1,sys2,...,sysN)

sigma(sys1,sys2,...,sysN,w)

sigma(sys1,sys2,...,sysN,w,type)

sigma(sys1,'PlotStyle1',...,sysN,'PlotStyleN')

[sv,w] = sigma(sys)

sv = sigma(sys,w)

Description sigma calculatesthesingular values of thefrequency responseofanLTImodel.

For an FRD model,

sys, sigma computes the singular values of sys.Response

at thefrequencies, sys.frequency.Forcontinuous-timeTF,SS,or ZPKmodels

with transfer function ,

sigma computes the singular values of as

a function of the frequency . For discrete-time TF, SS, or ZPK models with

transfer function and sample time ,

sigma computes the singular

values of

for frequencies between 0 and the Nyquist frequency .

The singular values of the frequency response extend the Bode magnitude

response for MIMO systems and are useful in robustness analysis. The

singular value response of a SISO system is identical to its Bode magnitude

response.When invokedwithoutoutputarguments,

sigma produces asingular

value plot on the screen.

sigma(sys) plots the singular values of the frequency response of an arbitrary

LTI model

sys. This model can be continuous or discrete, and SISO or MIMO.

The frequency points are chosen automatically based on the system poles and

zeros, or from

sys.frequency if sys is an FRD.

sigma(sys,w) explicitlyspecifiesthefrequencyrange orfrequency pointsto be

used for the plot. To focus on a particular frequency interval

[wmin,wmax],set

()

ω()

()

ωω

⁄

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MATLAB CONTROL SYSTEM TOOLBOX 9 Specifiche Pagina 535

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