Corpus ID: 235457972

Robustness and Consistency in Linear Quadratic Control with Predictions

@article{Li2021RobustnessAC,
  title={Robustness and Consistency in Linear Quadratic Control with Predictions},
  author={Tongxin Li and Ruixiao Yang and Guannan Qu and Guanya Shi and Chenkai Yu and A. Wierman and S. Low},
  journal={ArXiv},
  year={2021},
  volume={abs/2106.09659}
}
We study the problem of learning-augmented predictive linear quadratic control. Our goal is to design a controller that balances consistency, which measures the competitive ratio when predictions are accurate, and robustness, which bounds the competitive ratio when predictions are inaccurate. We propose a novel λconfident controller and prove that it maintains a competitive ratio upper bound of 1 +min{O(λ2ε) +O(1− λ)2, O(1) +O(λ2)} where λ ∈ [0, 1] is a trust parameter set based on the… Expand

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