ISSN:
1471-6887
Content:
We investigate feedback forms for linear time-invariant systems described by differential-algebraic equations. Feedback forms are representatives of certain equivalence classes. For example, state space transformations, invertible transformations from the left and proportional state feedback constitute an equivalence relation. The representative of such an equivalence class, which we call proportional feedback form for the above example, allows to read off relevant system theoretic properties. Our main contribution is to derive a quasi proportional feedback form. This form is advantageous since it provides some geometric insight and is simple to compute, but still allows to read off the relevant structural properties of the control system. We also derive a quasi proportional and derivative feedback form. Similar advantages hold.
In:
Institute of Mathematics and Its Applications, IMA journal of mathematical control and information, Oxford : Univ. Press, 1984, 39(2022), 2, Seite 533-563, 1471-6887
In:
volume:39
In:
year:2022
In:
number:2
In:
pages:533-563
Language:
English
DOI:
10.1093/imamci/dnab030
URL:
Volltext
(lizenzpflichtig)
Author information:
Trenn, Stephan 1980-
Author information:
Ilchmann, Achim 1956-
Author information:
Berger, Thomas 1986-
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