Manuel Tetschke

Second-order Partial Outer Convexification for Switched Dynamical Systems

  • Christoph Plate
  • Sebastian Sager
  • Martin Stoll
  • Manuel Tetschke
    • Categories Nonlinear Optimization, Systems governed by Differential Equations Optimization Tags , , ,

    Mixed-integer optimal control problems arise in many practical applications combining nonlinear, dynamic, and combinatorial features. To cope with the resulting complexity, several approaches have been suggested in the past. Some of them rely on solving a reformulated and relaxed control problem, referred to as partial outer convexification. Inspired by an efficient algorithm for switching time … Read more

    A numerical study of transformed mixed-integer optimal control problems

  • Sebastian Sager
  • Manuel Tetschke
  • Clemens Zeile
    • Categories (Mixed) Integer Nonlinear Programming, Global Optimization Theory, Systems governed by Differential Equations Optimization Tags , , , ,

    Time transformation is a ubiquitous tool in theoretical sciences, especially in physics. It can also be used to transform switched optimal con trol problems into control problems with a fixed switching order and purely continuous decisions. This approach is known either as enhanced time transformation, time-scaling, or switching time optimization (STO) for mixed-integer optimal control. … Read more