main.md

Bryson Denham

This problem can be found here.

Packages that will be used

using NLOptControl
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Define the Problem:

n=define(numStates=2,numControls=1,X0=[0.,1],XF=[0.,-1.],XL=[0.,NaN],XU=[1/9,NaN]);
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Differential Equations

dx=[:(x2[j]),:(u1[j])]
dynamics!(n,dx)
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Configure the Problem

configure!(n;(:Nck=>[100]),(:finalTimeDV=>true));
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Objective Function

obj=integrate!(n,:(0.5*u1[j]^2));
@NLobjective(n.ocp.mdl,Min,obj);
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Optimize

optimize!(n);
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Post Process

allPlots(n)