theory question

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Article #247

#247

From: Alexander Baehr
Date: Wed, 31 Jul 2002 17:53

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Hello everybody!

I have a state-space system which is not controllable: is there a way of
illustrating this, e. g. to see which states or modes are not
controllable? Are there suitable MATLAB commands?

I have read about the Kalman decomposition which reveals the
"uncontrollable modes" (MATLAB "ctrbf" command, see

http://www.mathworks.com/access/helpdesk_r11/help/toolbox/control/obsvf.shtml?cmdname=ctrbf

). But what does the result mean in words?

Thanks a lot
Alexander

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

The system is:

n = 5

dx/dt = Ax + Bu

with

A =

      -161.51      -3436.4       161.51            0            0
        14701            0       -14701            0            0
       54.023       1149.4      -327.01      -1149.4       272.99
            0            0        17584            0       -17584
            0            0        281.4       1184.8       -281.4

B =

        0.001
  -0.00038002
    0.0005008
   -0.0034863
    0.0010948

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From: Alexander Baehr <abaehr@srt.tu-darmstadt.de>
Newsgroups: sci.engr.control,fj.engr.control
Subject: theory question
Date: Wed, 31 Jul 2002 19:53:02 +0200
Organization: TU Darmstadt, SRT
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