{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:EHUH3AENEW7MW6GSEP3HVPPJWN","short_pith_number":"pith:EHUH3AEN","schema_version":"1.0","canonical_sha256":"21e87d808d25becb78d223f67abde9b35c5f81f4be9e44967331bf04436204e8","source":{"kind":"arxiv","id":"2506.09273","version":1},"attestation_state":"computed","paper":{"title":"Data-Driven Nonlinear Regulation: Gaussian Process Learning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","cs.SY","math.OC","nlin.AO"],"primary_cat":"eess.SY","authors_text":"Martin Guay, Richard D. Braatz, Shimin Wang, Telema Harry","submitted_at":"2025-06-10T22:21:28Z","abstract_excerpt":"This article addresses the output regulation problem for a class of nonlinear systems using a data-driven approach. An output feedback controller is proposed that integrates a traditional control component with a data-driven learning algorithm based on Gaussian Process (GP) regression to learn the nonlinear internal model. Specifically, a data-driven technique is employed to directly approximate the unknown internal model steady-state map from observed input-output data online. Our method does not rely on model-based observers utilized in previous studies, making it robust and suitable for sys"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2506.09273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SY","submitted_at":"2025-06-10T22:21:28Z","cross_cats_sorted":["cs.DM","cs.SY","math.OC","nlin.AO"],"title_canon_sha256":"66055a06a5c04d9c55a3db4b5b0dd1d516e1a5fa9586217e0fcc652837ec9c2d","abstract_canon_sha256":"3da1fa9ba19b4baa7ee7dfaa275d4ef02e125c93fe801f18a088fb7c897d6b85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:19:34.037256Z","signature_b64":"mVXNO67jvJiC2WtRseLWNvEznxAXABxSGwWC4GNmAHLtG8OZPgXNe9MN4S3Wfvz+zesLS1VZ4PHmrAPcLPB4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21e87d808d25becb78d223f67abde9b35c5f81f4be9e44967331bf04436204e8","last_reissued_at":"2026-07-05T11:19:34.036740Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:19:34.036740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Data-Driven Nonlinear Regulation: Gaussian Process Learning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","cs.SY","math.OC","nlin.AO"],"primary_cat":"eess.SY","authors_text":"Martin Guay, Richard D. Braatz, Shimin Wang, Telema Harry","submitted_at":"2025-06-10T22:21:28Z","abstract_excerpt":"This article addresses the output regulation problem for a class of nonlinear systems using a data-driven approach. An output feedback controller is proposed that integrates a traditional control component with a data-driven learning algorithm based on Gaussian Process (GP) regression to learn the nonlinear internal model. Specifically, a data-driven technique is employed to directly approximate the unknown internal model steady-state map from observed input-output data online. Our method does not rely on model-based observers utilized in previous studies, making it robust and suitable for sys"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.09273","kind":"arxiv","version":1},"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/2506.09273/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2506.09273","created_at":"2026-07-05T11:19:34.036800+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.09273v1","created_at":"2026-07-05T11:19:34.036800+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.09273","created_at":"2026-07-05T11:19:34.036800+00:00"},{"alias_kind":"pith_short_12","alias_value":"EHUH3AENEW7M","created_at":"2026-07-05T11:19:34.036800+00:00"},{"alias_kind":"pith_short_16","alias_value":"EHUH3AENEW7MW6GS","created_at":"2026-07-05T11:19:34.036800+00:00"},{"alias_kind":"pith_short_8","alias_value":"EHUH3AEN","created_at":"2026-07-05T11:19:34.036800+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EHUH3AENEW7MW6GSEP3HVPPJWN","json":"https://pith.science/pith/EHUH3AENEW7MW6GSEP3HVPPJWN.json","graph_json":"https://pith.science/api/pith-number/EHUH3AENEW7MW6GSEP3HVPPJWN/graph.json","events_json":"https://pith.science/api/pith-number/EHUH3AENEW7MW6GSEP3HVPPJWN/events.json","paper":"https://pith.science/paper/EHUH3AEN"},"agent_actions":{"view_html":"https://pith.science/pith/EHUH3AENEW7MW6GSEP3HVPPJWN","download_json":"https://pith.science/pith/EHUH3AENEW7MW6GSEP3HVPPJWN.json","view_paper":"https://pith.science/paper/EHUH3AEN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.09273&json=true","fetch_graph":"https://pith.science/api/pith-number/EHUH3AENEW7MW6GSEP3HVPPJWN/graph.json","fetch_events":"https://pith.science/api/pith-number/EHUH3AENEW7MW6GSEP3HVPPJWN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EHUH3AENEW7MW6GSEP3HVPPJWN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EHUH3AENEW7MW6GSEP3HVPPJWN/action/storage_attestation","attest_author":"https://pith.science/pith/EHUH3AENEW7MW6GSEP3HVPPJWN/action/author_attestation","sign_citation":"https://pith.science/pith/EHUH3AENEW7MW6GSEP3HVPPJWN/action/citation_signature","submit_replication":"https://pith.science/pith/EHUH3AENEW7MW6GSEP3HVPPJWN/action/replication_record"}},"created_at":"2026-07-05T11:19:34.036800+00:00","updated_at":"2026-07-05T11:19:34.036800+00:00"}