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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:2509.05463v3 Announce Type: replace Abstract: This paper proposes a novel approach to design analog electronic circuits that implement Model Predictive Control (MPC) policies for dynamical systems described by affine models.
arXiv:2604.01730v3 Announce Type: replace-cross Abstract: This paper investigates Koopman operator-based approaches for multivariable control of a two-spool turbofan engine. A physics-based component-level model is developed to generate training data and validate the controllers.
A ruleless digital twin approach is proposed where decisions are generated automatically from purely declarative user specifications instead of hand-written rules. This reduces the complexity of building and maintaining twins under dynamically changing conditions such as weather or dynamic energy pricing.