Simple simulation of dynamic systems with optional controller

Simple simulation of dynamic systems with optional controller - mb10 - Mensajes

#1 Publicado: 5/10/2013 8:10:09
mb10

mb10

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A general purpose, simple ODE solver function that uses Euler integration to simulate (possibly non-linear) multi-inputs dynamic systems, with "embedded" provision for state feedback controller.
In its most general form, the function implements a system of the form:

Dynamic System.JPG

where dot notation indicates time derivative.
A few examples are provided.
DynSys_v01.sm (226,66 KiB) descargado 1771 vez(es).
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Davide Carpi 5/10/2013 9:16:00, Martin Kraska 5/10/2013 20:01:00, Radovan Omorjan 6/10/2013 8:03:00
#2 Publicado: 5/10/2013 20:01:52
Martin Kraska

Martin Kraska

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I like the way to plot vectors, was not aware of this.
plot.PNG
Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9
#3 Publicado: 6/10/2013 2:56:00
mb10

mb10

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It is an (undocumented?) feature I discovered by chance.
Notice the "staircased" behaviour.

The X-Y plot plug-in has a similar property: in that case it seems that ANY variable name, not just "x", can be used as a subscript to obtain vector plot.
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Radovan Omorjan 6/10/2013 8:03:00
#4 Publicado: 6/10/2013 10:28:59
Martin Kraska

Martin Kraska

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Wrote

It is an (undocumented?) feature.


Not undocumented any more. SVN Activebook updated.

Section 2D plots built-in.sm (36,68 KiB) descargado 1694 vez(es).
Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9
A 2 usuarios les gustó este mensaje
Вячеслав Мезенцев 6/10/2013 10:38:00, Radovan Omorjan 6/10/2013 13:57:00
#5 Publicado: 8/10/2013 8:39:56
mb10

mb10

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Attachment updated with a function for handling discrete time systems (see 1st post).
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