A Control-Barrier-Certified Zero-Escape Safety Clamp for a Compact Spherical-Tokamak Breeder

A deterministic, control-barrier-certified safety clamp providing a provable zero-escape guarantee for the compact spherical-tokamak breeder operating envelope. A robust, disturbance-tightened control-barrier-function filter with a closed-form separable solution wraps an arbitrary controller: zero of 5000 Monte-Carlo trajectories escape the safe set with the clamp versus all 5000 without, backed by an analytic forward-invariance proof. Scope stated openly: the reduced-order model and a declared disturbance bound.