Jufe-131 Engsub02-02-03 Min -free- May 2026

| 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.

Min‑FREE: A Minimal‑Free Energy Framework for Adaptive Engineering Subsystems JUFE-131 ENGSUB02-02-03 Min -FREE-

[Your Name], Department of Mechanical & Aerospace Engineering, [University] | Metric | Conventional LQG | Min‑FREE (optimal)

[ \boxed\displaystyle \big(\mathbfx^\star(\cdot),\mathbfu^\star(\cdot)\big)=\arg!\min_\mathbfx,\mathbfu \mathcalJ[\mathbfx,\mathbfu] Department of Mechanical & Aerospace Engineering

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