Closed-loop stability

Rounding in Mixed-Integer Model Predictive Control

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

    This paper interfaces combinatorial integral approximation strategies with the inherent robustness properties of conventional model predictive control with stabilizing terminal conditions. We deduce practical stability results for finite-control set and mixed-integer model predictive control and investigate the evolution of the closed-loop system in the presence of control rounding to draw conclusions about deviation from optimality. … Read more

    Stabilizing GNEP-Based Model Predictive Control: Quasi-GNEPs and End Constraints

  • Falk M. Hante
  • Martin Schmidt
  • Antonia Topalovic
    • Categories Other Topics Tags , , ,

    We present a feedback scheme for non-cooperative dynamic games and investigate its stabilizing properties. The dynamic games are modeled as generalized Nash equilibrium problems (GNEP) in which the shared constraint consists of linear time-discrete dynamic equations (e.g., sampled from a partial or ordinary differential equation), which are jointly controlled by the players’ actions. Further, the … Read more