Time optimal car problem (TACO) - Revision history

JonasSchulze: Text replacement - "\(.*)\<\/bibref\>" to ""

2015-12-30T20:32:09Z

Text replacement - "\<bibref\>(.*)\<\/bibref\>" to "<bib id="$1" />"

← Older revision		Revision as of 20:32, 30 December 2015
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	This page contains a model of the [[Time optimal car problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions. The model can be found e.g. in		This page contains a model of the [[Time optimal car problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions. The model can be found e.g. in
	<~~bibref>~~Cuthrell1987</~~bibref~~> and <~~bibref>~~Logsdon1992</~~bibref~~>.		<bib id="Cuthrell1987" /> and <bib id="Logsdon1992" />.
	Note that you will need to include a generic [[support AMPL files\|AMPL/TACO support file]], OptimalControl.mod.		Note that you will need to include a generic [[support AMPL files\|AMPL/TACO support file]], OptimalControl.mod.
	To solve this model, you require an optimal control or NLP code that uses the TACO toolkit to support the AMPL optimal control extensions.		To solve this model, you require an optimal control or NLP code that uses the TACO toolkit to support the AMPL optimal control extensions.

JonasSchulze: Text replacement - "" to ""

2015-12-30T20:28:25Z

Text replacement - "<bibreferences/>" to "<biblist />"

← Older revision		Revision as of 20:28, 30 December 2015
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	== References ==		== References ==

	<~~bibreferences~~/>		<biblist />

Ckirches: typo

2011-10-03T17:46:20Z

typo

← Older revision		Revision as of 17:46, 3 October 2011
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	This page contains a model of the [[Time optimal car problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions. The model can be found e.g. in		This page contains a model of the [[Time optimal car problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions. The model can be found e.g. in
	<bibref>Cuthrell1987<bibref> and <bibref>Logsdon1992</bibref>.		<bibref>Cuthrell1987</bibref> and <bibref>Logsdon1992</bibref>.
	Note that you will need to include a generic [[support AMPL files\|AMPL/TACO support file]], OptimalControl.mod.		Note that you will need to include a generic [[support AMPL files\|AMPL/TACO support file]], OptimalControl.mod.
	To solve this model, you require an optimal control or NLP code that uses the TACO toolkit to support the AMPL optimal control extensions.		To solve this model, you require an optimal control or NLP code that uses the TACO toolkit to support the AMPL optimal control extensions.

Ckirches: Time optimal car problem (TACO)

2011-10-03T17:45:22Z

Time optimal car problem (TACO)

New page

This page contains a model of the [[Time optimal car problem]] in [http://www.ampl.org AMPL] format, making use of the TACO toolkit for AMPL control optimization extensions. The model can be found e.g. in
<bibref>Cuthrell1987<bibref> and <bibref>Logsdon1992</bibref>.
Note that you will need to include a generic [[support AMPL files|AMPL/TACO support file]], OptimalControl.mod.
To solve this model, you require an optimal control or NLP code that uses the TACO toolkit to support the AMPL optimal control extensions.

=== AMPL ===

This is the source file tocar1_taco.mod
<source lang="AMPL">
# ----------------------------------------------------------------
# Time optimal car problem using AMPL and TACO
# (c) Christian Kirches, Sven Leyffer
#
# Source: Cuthrell/Biegler'87, Logsdon/Biegler'92
# ----------------------------------------------------------------
include OptimalControl.mod;

var t;
var tf := 20, >= 5, <= 50;

var s := 0, >= 0, <= 330;
var v := 0, >= 0, <= 30;
var gas := 0.0, >= -2.0, <= 1.0;
let gas.type := "u0";

var p := 0.05, >= 0, <= 0.1;

minimize EndTime:
eval(t,tf);
let EndTime.scale := 10.0;

subject to

ODE_s: diff(s,t) = v;
ODE_v: diff(v,t) = gas - p;

IVC_s: eval(s,0) = 0;
IVC_v: eval(v,0) = 0;

TC_s: eval(s,tf) = 300.0;
let TC_s.scale := 100.0;

TC_v: eval(v,tf) = 0;
let TC_v.scale := 10.0;

let IVC_s.type := "dpc";
let IVC_v.type := "dpc";

option solver ...;

solve;

</source>

== Other Descriptions ==

Other descriptions of this problem are available in

* Mathematical notation at [[Time optimal car problem]]

[[Category:AMPL/TACO]]

== References ==

<bibreferences/>