MATLAB CONTROL SYSTEM TOOLBOX 9 Spécifications télécharger pdf (Page 544)

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101

sminreal

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16sminreal

Purpose Perform model reduction based on structure

Syntax msys = sminreal(sys)

Description msys = sminreal(sys) eliminates the states of the state-space model sys that

don’t affect the input/output response. All of the states of the resulting

state-space model

msys are also states of sys and the input/output response of

msys is equivalent to that of sys.

sminreal eliminates only structurally non minimal states, i.e., states that can

be discarded by looking only at hard zero entries in the A, B,andC matrices.

Such structurally nonminimal states arise, for example, when linearizing a

Simulink model that includes some unconnected state-space or transfer

function blocks.

Remark The model resulting from sminreal(sys) is not necessarily minimal, and may

have a higher order than one resulting from

minreal(sys). However,

sminreal(sys) retains the state structure of sys, while, in general,

minreal(sys) does not.

Example Suppose you concatenate two SS models, sys1 and sys2.

sys = [sys1,sys2];

This operation is depicted in the diagram below.

If you extract the subsystem

sys1 from sys,with

sys(1,1)

sys1

sys2

1 2 ... 539 540 541 542 543 544 545 546 547 548 549 ... 590 591

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MATLAB CONTROL SYSTEM TOOLBOX 9 Spécifications Page 544

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