MATLAB CONTROL SYSTEM TOOLBOX 9 Specifiche Scaricare il pdf (Pagina 497)

100

101

nyquist

16-157

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

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

return the real and imaginary parts of the frequency 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).

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

H = tf([2 5 1],[1 2 3])

number of outputs

()

number of inputs

()×

length of w()×

w(k)=

re(1,1,k) Re hj

()()

im(1,1,k) Im hj

()()

()

re(i,j,k) Re h

()()

im(i,j,k) Im h

()()

()

5s 1++

2s 3++

-------------------------------

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MATLAB CONTROL SYSTEM TOOLBOX 9 Specifiche Pagina 497

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