Discounted Mpc Infinite Horizon Optimal Control

---
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*