robustify is used to derive a robust counterpart of an uncertain optimization problem (constraints satisfied for all possible uncertainties, and worst-case objective).

Syntax

[Frobust,robustobjective] = robustify(F,objective,options)

Examples

Consider the following uncertain problem (w is the uncertain variable)

sdpvar x w
F = [x+w <= 1];
W = [uncertain(w),-0.5 <= w <= 0.5];
objective = -x;

The problem can be solved immediately

solvesdp([F, W],objective);

Alternatively, we can first derive a robust version.

[Frobust,robustobjective] = robustify(F + G,objective);

This model does not involve the uncertain variable anymore, and corresponds to the worst-case scenario model. We can now solve the model.

solvesdp(Frobust,robustobjective,ops)

See also

solvesdp, uncertain, sdpsettings, robust optimization tutorial, robust MPC example