Time optimal car problem

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Time optimal car problem
State dimension: 1
Differential states: 2
Continuous control functions: 1
Path constraints: 6
Interior point equalities: 4

The Time optimal car problem "consists of starting and stopping a car in minimum for a fixed distance (300 units)" and can be found e.g. in [Cuthrell1987]The entry doesn't exist yet. and [Logsdon1992]Author: Logsdon, J.S.; L.T. Biegler
Journal: Chemical Engineering Science
Number: 4
Pages: 851--864
Title: Decomposition strategies for large-scale dynamic optimization problems
Volume: 47
Year: 1992
Link to Google Scholar
.

Mathematical formulation


\begin{array}{llclr}
	\displaystyle \min_{z, u, t_f} & t_f   \\[1.5ex]
	\mbox{s.t.} 
	& \dot{z}_1 & = & z_2, \\
	& \dot{z}_2 & = & u, \\[1.5ex]
	& z(0) &=& (0,0)^T, \\
	& z(t_f) &=& (300,0)^T, \\[1.5ex]
	& z_1(t) & \in & [0,33],\\
	& z_2(t) & \in & [0,330],\\
	& u(t) & \in & [-2,1].\\
	\end{array}

where  z = (z_1, z_2)^T .

Source Code

Model descriptions are available in


References

[Cuthrell1987]The entry doesn't exist yet.
[Logsdon1992]Logsdon, J.S.; L.T. Biegler (1992): Decomposition strategies for large-scale dynamic optimization problems. Chemical Engineering Science, 47, 851--864Link to Google Scholar