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Topic: COntrol System Question
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Sri Kumar Kanajan

Posts: 34
Registered: 12/7/04
COntrol System Question
Posted: May 22, 2000 12:05 PM
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Hello all,

Im currently doing a project on non-linear control systems and I need
someone to just verify the derivation of the equation below.

[Image]I need to verify the derivation of the final equation using T and
U applied into the Euler-Lagrange equation. phi ' represents the
derivative of phi.

Also another matter is on how to convert the following equation into a
state space linear model.

[Image] where phi '' is the second derivative of phi and L' the first
derivative of L. The method will go about in assigning x1=phi, x2=phi '
and then doing the state space transformation into x'=Ax + bU where x
are the state variable matrices.

Thank you very much for any help you can offer.

Yours,
Sri Kumar Kanajan


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<html>
Hello all,
<p>Im currently doing a project on non-linear control systems and I need
someone to just verify the derivation of the equation below.
<p><img SRC="cid:part1.39295AB2.5E0413FF@doc.ic.ac.uk" height=222 width=437>I
need to verify the derivation of the final equation using T and U applied
into the Euler-Lagrange equation. phi ' represents the derivative of phi.
<p>Also another matter is on how to convert the following equation into
a state space linear model.
<p><img SRC="cid:part2.39295AB2.5E0413FF@doc.ic.ac.uk" height=62 width=173>&nbsp;
where phi '' is the second derivative of phi and L' the first derivative
of L. The method will go about in assigning x1=phi, x2=phi ' and then doing
the state space transformation into x'=Ax + bU where x are the state variable
matrices.
<p>Thank you very much for any help you can offer.
<p>Yours,
<br>Sri Kumar Kanajan
<br>&nbsp;</html>

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