discounted-mpc-infinite-horizon-optimal-control

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We study closed-loop stability and suboptimality for MPC and infinite-horizon optimal control solved using a surrogate model that differs from the real plant. We employ a unified f... Activation: discounted, infinite, horizon, optimal, control

hiyenwong By hiyenwong schedule Updated 6/3/2026

name: discounted-mpc-infinite-horizon-optimal-control description: "We study closed-loop stability and suboptimality for MPC and infinite-horizon optimal control solved using a surrogate model that differs from the real plant. We employ a unified f... Activation: discounted, infinite, horizon, optimal, control"

Discounted MPC and infinite-horizon optimal control under plant-model mismatch: Stability and suboptimality

Overview

We study closed-loop stability and suboptimality for MPC and infinite-horizon optimal control solved using a surrogate model that differs from the real plant. We employ a unified framework based on quadratic costs to analyze both finite- and infinite-horizon problems, encompassing discounted and undiscounted scenarios alike. Plant-model mismatch bounds proportional to states and controls are assumed, under which the origin remains an equilibrium.

Source Paper

  • Title: Discounted MPC and infinite-horizon optimal control under plant-model mismatch: Stability and suboptimality
  • Authors: Robert H. Moldenhauer, Karl Worthmann, Romain Postoyan, Dragan Nešić, Mathieu Granzotto
  • arXiv: 2604.08521v1
  • Published: 2026-04-09
  • Categories: math.OC, eess.SY

Core Concepts

Key Contributions

  1. We study closed-loop stability and suboptimality for MPC and infinite-horizon optimal control solved using a surrogate m...
  2. We employ a unified framework based on quadratic costs to analyze both finite- and infinite-horizon problems, encompassi...
  3. Plant-model mismatch bounds proportional to states and controls are assumed, under which the origin remains an equilibri...

Practical Applications

  • Control system design and optimization
  • Distributed system coordination
  • Multi-agent system orchestration

References

  • Robert H. Moldenhauer et al. (2026). "Discounted MPC and infinite-horizon optimal control under plant-model mismatch: Stability and suboptimality." arXiv:2604.08521v1.

Activation Keywords

  • discounted, infinite, horizon, optimal, control, under, plant, model

Generated: 2026-04-13

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