Simple simulation of dynamic systems with optional controller

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Simple simulation of dynamic systems with optional controller - mb10

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mb10		#1 Posted : 05 October 2013 15:10:09(UTC)
Rank: Member Groups: Registered Joined: 27/08/2013(UTC) Posts: 19 Was thanked: 9 time(s) in 5 post(s)		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: where dot notation indicates time derivative. A few examples are provided. Edited by user 08 October 2013 15:35:39(UTC) \| Reason: Added function for discrete time systems. File Attachment(s): DynSys_v01.sm (227kb) downloaded 199 time(s).

3 users thanked mb10 for this useful post.		on 05/10/2013(UTC), on 06/10/2013(UTC), on 06/10/2013(UTC)
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mkraska		#2 Posted : 06 October 2013 03:01:52(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,988 Was thanked: 1126 time(s) in 723 post(s)		I like the way to plot vectors, was not aware of this. mkraska attached the following image(s):
		Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx


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mb10		#3 Posted : 06 October 2013 09:56:00(UTC)
Rank: Member Groups: Registered Joined: 27/08/2013(UTC) Posts: 19 Was thanked: 9 time(s) in 5 post(s)		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 user thanked mb10 for this useful post.		on 06/10/2013(UTC)
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mkraska		#4 Posted : 06 October 2013 17:28:59(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,988 Was thanked: 1126 time(s) in 723 post(s)		Originally Posted by: mb10 It is an (undocumented?) feature. Not undocumented any more. SVN Activebook updated. File Attachment(s): Section 2D plots XY Plot Plugin.sm (59kb) downloaded 138 time(s). Section 2D plots built-in.sm (37kb) downloaded 104 time(s).
		Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx

2 users thanked mkraska for this useful post.		on 06/10/2013(UTC), on 06/10/2013(UTC)
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mb10		#5 Posted : 08 October 2013 15:39:56(UTC)
Rank: Member Groups: Registered Joined: 27/08/2013(UTC) Posts: 19 Was thanked: 9 time(s) in 5 post(s)		Attachment updated with a function for handling discrete time systems (see 1st post).


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