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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.
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.
The PCDT framework closes the loop from network observation to predictive cognition and proactive resource control. Unlike reactive twins that act after performance risk appears, it aims to pre-empt degradation.
A calibration and control method is developed for a multiscale bioprocess digital twin using sparse observations, quasi-likelihood estimation and adjoint sensitivity analysis. Parameter uncertainty then feeds into policy optimization and adaptive experiment design.
