Mixed-Integer Nonlinear Differentiable Predictive Control for Underground Pumped Hydro Energy Storage Systems

arXiv:2609.17964 · eess.SY, cs.LG, cs.SY · Submitted 2026-09-16 · Read on arXiv

eess.SY, cs.LG, cs.SY

Submitted: 2026-09-16

Updated: 2026-09-16

Comments: 6 pages, 5 figures. Accepted for publication in the 2026 65th IEEE Conference on Decision and Control (CDC)

Code: https://github.com/SOLARIS-JHU/MI-DPC-UPHES

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Transformer — 12× in this paper · explained in 2 episodes
• Differentiable Predictive Control — 9× in this paper
• Ablation — 4× in this paper · explained in 1 episode
• Benchmark — 4× in this paper · explained in 2 episodes
• Fidelity — 4× in this paper · explained in 2 episodes
• Underground Pumped Hydro Energy Storage Systems — 3× in this paper
• Ablation study — 2× in this paper · explained in 1 episode
• AdamW Optimizer — 2× in this paper · explained in 1 episode
• Bayesian Optimization — 2× in this paper · explained in 3 episodes
• Self-Supervised Learning — 2× in this paper · explained in 7 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Clustering — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Gradient Flow — 1× in this paper · explained in 2 episodes
• Hybrid Approach — 1× in this paper · explained in 4 episodes
• Hybrid System — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Probabilistic Forecasting — 1× in this paper · explained in 3 episodes
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• Categorical Reparameterization with Gumbel-Softmax
• The Concrete Distribution: A Continuous Relaxation of Discrete Random Variables
• Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computation
• Learning to Solve Parametric Mixed-Integer Optimal Control Problems via Differentiable Predictive Control
• Learning to Optimize for Mixed-Integer Non-linear Programming with Feasibility Guarantees
• Accelerated Policy Learning with Parallel Differentiable Simulation

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