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Collective Tube MPC With Distribution-Free Joint Safety Certificates
US & West ·
The paper develops collective tube MPC, where the calibrated uncertainty object is the entire finite-horizon prediction-error trajectory rather than separate events combined by a union bound. A reusable trajectory tube is calibrated offline, its cross-sections define online Pontryagin tightenings, and the certified violation event is a fresh prediction-error trajectory leaving the tube.
Why it matters
The approach aligns safety certificates with the recursive-feasibility logic of tube MPC, which matters for reliable control of constrained systems.
arXiv:2509.19824v3 Announce Type: replace Abstract: Tube-based Model Predictive Control (MPC) is a widely adopted robust control framework for constrained linear systems under additive disturbance.
arXiv:2610.36441v1 Announce Type: new Abstract: Periodic power fluctuations from artificial intelligence (AI) training workloads can excite oscillations in power systems. This paper proposes a model predictive control (MPC) framework that exploits short start-time delays to mitigate power…
arXiv:2207.10216v4 Announce Type: replace-cross Abstract: To address feasibility issues in model predictive control (MPC), most implementations relax state constraints by using slack variables and adding a penalty to the cost.