Jufe-131 Engsub02-02-03 Min - -free-

[ \dotU = \dotQ + \dotW \quad\Rightarrow\quad \dot\mathcalF = \dotU - T\dotS - S\dotT + \mathbfu^!\top R\mathbfu. ]

| Metric | Conventional LQG | Min‑FREE (optimal) | |--------|-------------------|--------------------| | Electrical energy (J) | 18.5 | (−23 %) | | Hydraulic loss (J) | 5.9 | 4.8 (−19 %) | | Entropy production (J/K) | 0. JUFE-131 ENGSUB02-02-03 Min -FREE-

Min‑FREE: A Minimal‑Free Energy Framework for Adaptive Engineering Subsystems [ \dotU = \dotQ + \dotW \quad\Rightarrow\quad \dot\mathcalF