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[Octave-bug-tracker] [bug #42767] Minimal realization might not be corre


From: anonymous
Subject: [Octave-bug-tracker] [bug #42767] Minimal realization might not be correct
Date: Mon, 14 Jul 2014 07:26:54 +0000
User-agent: Mozilla/5.0 (Windows NT 6.3; WOW64; rv:30.0) Gecko/20100101 Firefox/30.0

URL:
  <http://savannah.gnu.org/bugs/?42767>

                 Summary: Minimal realization might not be correct
                 Project: GNU Octave
            Submitted by: None
            Submitted on: Mon 14 Jul 2014 07:26:53 AM UTC
                Category: Octave Forge Package
                Severity: 3 - Normal
                Priority: 5 - Normal
              Item Group: Incorrect Result
                  Status: None
             Assigned to: None
         Originator Name: Saul Mtakula
        Originator Email: address@hidden
             Open/Closed: Open
         Discussion Lock: Any
                 Release: 3.6.4
        Operating System: Microsoft Windows

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Details:

Using the Control Package (ver 2.4.2) a modified S/KS mixed sensitivity
problem is to be solved for a plant G (see attached file-based on  the book by
Skogestad Multivariable Feedback Control sec 13_2). The stacked function to be
optimized is ||W1 S W3; W2 K S W3||hinf. Since this won't fit into the exact
framework for the augw function the augmented plant
P=[W1*W3,-W1*G1;zeros(4,6), W2;W3,-G1] is formed directly with horzcat and
vertcat commands. P is not minimal, but using the minreal command does not
appear to minimize P, leading to a detectability error for A, C2 pair of the
augmented plant. Is there a way to form the augmented plant for this problem
for a successful solution of the h infinity problem?



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File Attachments:


-------------------------------------------------------
Date: Mon 14 Jul 2014 07:26:53 AM UTC  Name: Sec12_2bug.m  Size: 4kB   By:
None

<http://savannah.gnu.org/bugs/download.php?file_id=31712>

    _______________________________________________________

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