# Support AMPL files

From mintOC

The following files are useful for several discretized control problems listed on the AMPL Category page. They need to be saved to the same directory.

## ampl_general.mod

param T > 0; # End time param nt > 0; # Number of discretization points in time param nu > 0; # Number of control discretization points param nx > 0; # Dimension of differential state vector param ntperu > 0; # nt / nu set I:= 0..nt; set U:= 0..nu-1; param uidx {I}; param fix_w; param fix_w; var w {U} >= 0, <= 1 binary; # control function var dt {U} >= 0, <= T; # stage length vector

## ampl_general.dat

if ( fix_w > 0 ) then { for {i in U} { fix w[i]; } } if ( fix_dt > 0 ) then { for {i in U} { fix dt[i]; } } # Set indices of controls corresponding to time points for {i in 0..nu-1} { for {j in 0..ntperu-1} { let uidx[i*ntperu+j] := i; } } let uidx[nt] := nu-1;

## OptimalControl.mod

This header file is required for solving AMPL models of ODE/DAE constrained optimal control problems using a solver that supports the TACO toolkit for AMPL control optimization.

suffix type symbolic IN; option type_table '\ 1 u0 piecewise constant control\ 2 u1 piecewise linear control\ 3 u1c piecewise linear continuous control\ 4 u3 piecewise cubic control\ 5 u3c piecewise cubic continuous control\ 6 dae DAE algebraic state variable\ 7 Lagrange Prevent least-squares detection in an objective\ '; function diff; function eval; function integral;