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2021-05-10T08:47:17+00:00
Differential Flatness of Two One-Forms in Arbitrary Number of Variables
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Given a differentially flat system of ODEs, flat outputs that depend only on original
variables but not on their derivatives are called zero-flat outputs and systems possessing
such outputs are called zero-flat. In this paper we present a theory of zero-flatness for
a system of two one-forms in arbitrary number of variables $(t,x^1,\dots,x^N)$. Our
approach splits the task of finding zero-flat outputs into two parts. First part involves
solving for distributions that satisfy a set of algebraic conditions. If the first part
has no solution then the system is not zero-flat. The second part involves finding an
integrable distribution from the solution set of the first part. Typically this part
involves solving PDEs. Our results are also applicable in determining if a control affine
system in $n$ states and $n-2$ controls has flat outputs that depend only on states. We
illustrate our method by examples.
Muruhan Rathinam and Richard M. Murray
1996n
<i>Systems and Control Letters</i>, 36:317-326, 1999.
rm97-ecc
Conference paper
2016-05-15T06:20:11Z
2457523.7640162
Differential Flatness of Two One-Forms in Arbitrary Number of Variables
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en
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