MATLAB CONTROL SYSTEM TOOLBOX 9 Guía de usuario descargar pdf (Pagina 547)

100

101

nyquist

11-157

When i nvoked with left-hand arguments

[re,im,w] = nyquist(sys)

[re,im] = nyquist(sys,w)

return the re al and imaginary parts of the frequ ency response at the

frequencies

w (in rad/sec). re and im are 3-D arrays with the frequency as last

dimension (see “Arguments” below for details).

Remark If sys is an FRD model, nyquist(sys,w), w can o nly include frequencies in

sys.frequency.

Arguments The output arguments re and im are 3-D arrays with dimensions

For SISO systems, the scalars

re(1,1,k) and im(1,1,k) are the real and

imaginary parts of the response at the frequency .

For MIMO systems with transfer function ,

re(:,:,k) and im(:,:,k)

give the real and imaginary parts of (both arrays with as many rows

as outputs and as many columns as inputs). Thus,

where is the transfer function from input to output .

Example Plot the Nyquist response of the system

number of outputs

()

number of i nputs

()×

length of

w()×

w(k)=

re(1,1,k) Re hjω

()()=

im(1,1,k) Im hjω

()()=

()

re(i,j,k) Re h

jω

()()=

im(i,j,k) Im h

jω

()()=

1 2 ... 542 543 544 545 546 547 548 549 550 551 552 ... 648 649

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MATLAB CONTROL SYSTEM TOOLBOX 9 Guía de usuario Pagina 547

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