Regularization in Data-driven Predictive Control: A Convex Relaxation Perspective

arXiv:2509.09027 · math.OC, cs.SY, eess.SY · Submitted 2025-09-10 · Read on arXiv

math.OC, cs.SY, eess.SY

Submitted: 2025-09-10

Updated: 2026-10-16

Code: https://github.com/soc-ucsd/Convex-Approximation-for-DeePC

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

Terminology

• Regularization — 4× in this paper · explained in 3 episodes
• System Identification — 3× in this paper · explained in 3 episodes

Sources

• Policy Optimization in Control: Geometry and Algorithmic Implications
• Robust and efficient data-driven predictive control
• Data-based system representations from irregularly measured data
• Distributed Data-Driven Predictive Control for Multi-Agent Collaborative Legged Locomotion
• Harnessing Uncertainty for a Separation Principle in Direct Data-Driven Predictive Control
• On the Existence of Koopman Linear Embeddings for Controlled Nonlinear Systems

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