binary optimal control

Rounding in Mixed-Integer Model Predictive Control

  • Artemi Makarow
  • Christian Kirches
    • Categories Approximation Algorithms, Control Applications, Systems governed by Differential Equations Optimization Tags , , ,

    We derive practical stability results for finite-control set and mixed-integer model predictive control. Thereby, we investigate the evolution of the closed-loop system in the presence of control rounding and draw conclusions about optimality. The paper integrates integral approximation strategies with the inherent robustness properties of conventional model predictive control with stabilizing terminal conditions. We propose … Read more

    Binary Optimal Control by Trust-Region Steepest Descent

  • Mirko Hahn
  • Sven Leyffer
  • Sebastian Sager
    • Categories Distributed Control, Integer Programming, Systems governed by Differential Equations Optimization Tags , ,

    We present a trust-region steepest descent method for dynamic optimal control problems with binary-valued integrable control functions. Our method interprets the control function as an indicator function of a measurable set and makes set-valued adjustments derived from the sublevel sets of a topological gradient function. By combining this type of update with a trust-region framework, … Read more