Van der Pol Oscillator (binary variant)
|Van der Pol Oscillator (binary variant)|
|Discrete control functions:||3|
|Interior point equalities:||2|
This site describes a Van der Pol Oscillator variant with three binary controls instead of only one continuous control.
The mixed-integer optimal control problem is given by
These fixed values are used within the model:
If the problem is relaxed, i.e., we demand that be in the continuous interval instead of the binary choice , the optimal solution can be determined by means of direct optimal control.
The optimal objective value of the relaxed problem with is . The objective value of the binary controls obtained by Combinatorial Integral Approimation (CIA) is .
Model description is available in