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Distributionally Robust Model Predictive Control with Total Variation Distance

2022-03-22 · Anushri Dixit, Mohamadreza Ahmadi, Joel W. Burdick

This paper studies the problem of distributionally robust model predictive control (MPC) using total variation distance ambiguity sets. For a discrete-time linear system with additive disturbances, we provide a conditional value-at-risk reformulation of the MPC optimization problem that is distributionally robust in the expected cost and chance constraints. The distributionally robust chance constraint is over-approximated as a simpler, tightened chance constraint that reduces the computational burden. Numerical experiments support our results on probabilistic guarantees and computational efficiency.

📄 PDF Abstract BibTeX arXiv:2203.12062

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Computational EfficiencyModel Predictive Control

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