MATLAB CONTROL SYSTEM TOOLBOX 9 Spécifications télécharger pdf (Page 88)

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101

3 Operations on LTI Models

3-14

•Left division sys1\sys2, which is equivalent to inv(sys1)*sys2

•Right division sys1/sys2, which is equivalent to sys1*inv(sys2)

For a state-space model sys with data , inv(sys) is defined only

when is a square invertible matrix, in which case its state-space data is

Transposition

You can transpose an LTI model sys using

sys.'

This is a literal operation with the following effect:

•For TF models (with input arguments,

num and den), the cell arrays num and

den are transposed.

•For ZPK models (with input arguments,

z, p,andk), the cell arrays, z and p,

and the matrix

k are transposed.

•For SS models (with model data ), transposition produces the

state-space model A

, C

•For FRD models (with complex frequency response matrix

Response), the

matrix of frequency response data at each frequency is transposed.

Pertransposition

For a continuous-time system with transfer function , the pertransposed

system has the transfer function

The discrete-time counterpart is

Pertransposition of an LTI model

sys is performed using

sys'

You can use pertransposition to obtain the Hermitian (conjugate) transpose of

the frequency response of a given system. The frequency response of the

ABCD

,,,

ABD

1–

C ,– BD

1–

, D–

1–

C , D

1–

ABCD

,,,

()

Hs–

()[]

()

1–

()[]

1 2 ... 83 84 85 86 87 88 89 90 91 92 93 ... 590 591

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MATLAB CONTROL SYSTEM TOOLBOX 9 Spécifications Page 88

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