Formal Analytical Assessment of the Universal Balance–Feedback Framework (UBFF) in Magnetically Confined Fusion Plasma Regulation

Abstract This paper presents a formal technical evaluation and critical assessment of the Universal Balance–Feedback Framework (UBFF) as synthesized for zero-dimensional tokamak plasma regulation. We evaluate three core aspects of the formulation: (1) the algebraic resolution of rank deficiency through a minimal state-space transformation, (2) the theoretical distinction of physical cost functional induction via the Fusion Balance Index (FBI) relative to standard Linear-Quadratic Regulator (LQR) design, and (3) the methodological rigor of the falsifiable simulation protocol under ITER-scale disturbances. We demonstrate that UBFF provides a mathematically sound, non-singular optimal control synthesis mechanism that mathematically differentiates itself from generic diagonal state-weighting methods while establishing transparent empirical criteria for validating its operational advantages.