Simple simulation of dynamic systems with optional controller

#1 Posted: 10/5/2013 8:10:09 AM

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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:

[albumimg]317[/albumimg]

where dot notation indicates time derivative.
A few examples are provided.

DynSys_v01.sm (226 KiB) downloaded 219 time(s).

3 users liked this post

Davide Carpi 10/5/2013 9:16:00 AM, Martin Kraska 10/5/2013 8:01:00 PM, Radovan Omorjan 10/6/2013 8:03:00 AM

#2 Posted: 10/5/2013 8:01:52 PM

Martin Kraska

1222 likes in 2150 posts.

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I like the way to plot vectors, was not aware of this.

Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx

#3 Posted: 10/6/2013 2:56:00 AM

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.

1 users liked this post

Radovan Omorjan 10/6/2013 8:03:00 AM

#4 Posted: 10/6/2013 10:28:59 AM

Martin Kraska

1222 likes in 2150 posts.

Group: Moderator