{"paper":{"title":"Robustness and Consistency in Linear Quadratic Control with Untrusted Predictions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY","math.OC"],"primary_cat":"eess.SY","authors_text":"Adam Wierman, Chenkai Yu, Guannan Qu, Guanya Shi, Ruixiao Yang, Steven H. Low, Tongxin Li","submitted_at":"2021-06-17T17:06:37Z","abstract_excerpt":"We study the problem of learning-augmented predictive linear quadratic control. Our goal is to design a controller that balances \\textit{\"consistency\"}, which measures the competitive ratio when predictions are accurate, and \\textit{\"robustness\"}, which bounds the competitive ratio when predictions are inaccurate. We propose a novel $\\lambda$-confident policy and provide a competitive ratio upper bound that depends on a trust parameter $\\lambda\\in [0,1]$ set based on the confidence in the predictions and some prediction error $\\varepsilon$. Motivated by online learning methods, we design a sel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.09659","kind":"arxiv","version":10},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2106.09659/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}