Approximation Properties and Tight Bounds for Constrained Mixed-Integer Optimal Control

@inproceedings{Kirches2016ApproximationPA,
  title={Approximation Properties and Tight Bounds for Constrained Mixed-Integer Optimal Control},
  author={Christian Kirches and Felix Lenders},
  year={2016}
}
We extend recent work on mixed-integer nonlinear optimal control problems (MIOCPs) to the case of integer control functions subject to constraints. Prominent examples of such systems include problems with restrictions on the number of switches permitted, or problems that minimize switch cost. We extend a theorem due to [Sager et al., Math. Prog. A, 133(1-2), 1–23 (2012)] to the case of MIOCPs with constraints on the integer control and show that the integrality gap is zero in function space… CONTINUE READING