{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:JNVWINJDIZZFGK6NHCOKQB2AZW","short_pith_number":"pith:JNVWINJD","schema_version":"1.0","canonical_sha256":"4b6b6435234672532bcd389ca80740cd939a477875f44ed13a27d362a6dc75bd","source":{"kind":"arxiv","id":"2604.21294","version":4},"attestation_state":"computed","paper":{"title":"Analytical PI Tuning for Second-Order Plants with Monotonic Response and Minimum Settling Time","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Two closed-form PI tunings cover all second-order plants with real poles and deliver the minimum settling time for monotonic response.","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Senol Gulgonul","submitted_at":"2026-04-23T05:15:10Z","abstract_excerpt":"This study presents two analytical closed-form PI controller tuning solutions for second-order plants with real poles, each achieving monotonic step response and minimum settling time. The first solution employs pole-zero cancellation, placing the controller zero at the slower plant pole and reducing the closed-loop dynamics to a critically damped second-order system. The second solution, applicable when the plant pole ratio is less than two, places all three closed-loop poles at a common location without cancelling any plant pole, yielding a closed-loop transfer function with a triple real po"},"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":true},"canonical_record":{"source":{"id":"2604.21294","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-04-23T05:15:10Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"459eea5fc8d158de36effb4468508810b5ce8df393869a62e700cfbacf49e8de","abstract_canon_sha256":"b79d5a0deb35c3b83ec77e02405c0552a8bf09b10f61e207dbd634d540eca106"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T02:05:43.468153Z","signature_b64":"2TcTne8z7qG8RmiYl+sNmHsVwId30fiEnuUFyEDLdpU43moMDsHDhwwHNiS9qBC9GmwRNfkHC4mf+h8XRilFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b6b6435234672532bcd389ca80740cd939a477875f44ed13a27d362a6dc75bd","last_reissued_at":"2026-05-20T02:05:43.467357Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T02:05:43.467357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytical PI Tuning for Second-Order Plants with Monotonic Response and Minimum Settling Time","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Two closed-form PI tunings cover all second-order plants with real poles and deliver the minimum settling time for monotonic response.","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Senol Gulgonul","submitted_at":"2026-04-23T05:15:10Z","abstract_excerpt":"This study presents two analytical closed-form PI controller tuning solutions for second-order plants with real poles, each achieving monotonic step response and minimum settling time. The first solution employs pole-zero cancellation, placing the controller zero at the slower plant pole and reducing the closed-loop dynamics to a critically damped second-order system. The second solution, applicable when the plant pole ratio is less than two, places all three closed-loop poles at a common location without cancelling any plant pole, yielding a closed-loop transfer function with a triple real po"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"This study presents two analytical closed-form PI controller tuning solutions for second-order plants with real poles, each achieving monotonic step response and minimum settling time. The two solutions coincide at the boundary pole ratio of two and together form a continuous piecewise-analytical tuning covering the full range of plant pole ratios.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The plant is exactly a second-order linear system with known real poles and no unmodeled dynamics, delays, or nonlinearities; the desired closed-loop poles can be placed freely without actuator limits.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Two analytical PI tunings for second-order real-pole plants achieve minimum settling time with monotonic responses, plus a universal Ms independent of pole location for repeated-pole closed loops.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Two closed-form PI tunings cover all second-order plants with real poles and deliver the minimum settling time for monotonic response.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"30230d367469e4757e1d11679ad2e312a120a2230312df5a000d2e28d1357cf4"},"source":{"id":"2604.21294","kind":"arxiv","version":4},"verdict":{"id":"64cb8c17-be68-44b1-a577-0305d0f9acb5","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T07:25:07.954176Z","strongest_claim":"This study presents two analytical closed-form PI controller tuning solutions for second-order plants with real poles, each achieving monotonic step response and minimum settling time. The two solutions coincide at the boundary pole ratio of two and together form a continuous piecewise-analytical tuning covering the full range of plant pole ratios.","one_line_summary":"Two analytical PI tunings for second-order real-pole plants achieve minimum settling time with monotonic responses, plus a universal Ms independent of pole location for repeated-pole closed loops.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The plant is exactly a second-order linear system with known real poles and no unmodeled dynamics, delays, or nonlinearities; the desired closed-loop poles can be placed freely without actuator limits.","pith_extraction_headline":"Two closed-form PI tunings cover all second-order plants with real poles and deliver the minimum settling time for monotonic response."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.21294/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-20T01:09:10.767976Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"cb72063dd7492ba196fdc4e4b947f8ae30e7a04476f75ded7489c566b36ed9a9"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"ffe09822bbabd64fbb5d11feaccea461ac6ed50f5416b87dd1c70aa5c73fca71"},"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":"2604.21294","created_at":"2026-05-20T02:05:43.467486+00:00"},{"alias_kind":"arxiv_version","alias_value":"2604.21294v4","created_at":"2026-05-20T02:05:43.467486+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.21294","created_at":"2026-05-20T02:05:43.467486+00:00"},{"alias_kind":"pith_short_12","alias_value":"JNVWINJDIZZF","created_at":"2026-05-20T02:05:43.467486+00:00"},{"alias_kind":"pith_short_16","alias_value":"JNVWINJDIZZFGK6N","created_at":"2026-05-20T02:05:43.467486+00:00"},{"alias_kind":"pith_short_8","alias_value":"JNVWINJD","created_at":"2026-05-20T02:05:43.467486+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JNVWINJDIZZFGK6NHCOKQB2AZW","json":"https://pith.science/pith/JNVWINJDIZZFGK6NHCOKQB2AZW.json","graph_json":"https://pith.science/api/pith-number/JNVWINJDIZZFGK6NHCOKQB2AZW/graph.json","events_json":"https://pith.science/api/pith-number/JNVWINJDIZZFGK6NHCOKQB2AZW/events.json","paper":"https://pith.science/paper/JNVWINJD"},"agent_actions":{"view_html":"https://pith.science/pith/JNVWINJDIZZFGK6NHCOKQB2AZW","download_json":"https://pith.science/pith/JNVWINJDIZZFGK6NHCOKQB2AZW.json","view_paper":"https://pith.science/paper/JNVWINJD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2604.21294&json=true","fetch_graph":"https://pith.science/api/pith-number/JNVWINJDIZZFGK6NHCOKQB2AZW/graph.json","fetch_events":"https://pith.science/api/pith-number/JNVWINJDIZZFGK6NHCOKQB2AZW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JNVWINJDIZZFGK6NHCOKQB2AZW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JNVWINJDIZZFGK6NHCOKQB2AZW/action/storage_attestation","attest_author":"https://pith.science/pith/JNVWINJDIZZFGK6NHCOKQB2AZW/action/author_attestation","sign_citation":"https://pith.science/pith/JNVWINJDIZZFGK6NHCOKQB2AZW/action/citation_signature","submit_replication":"https://pith.science/pith/JNVWINJDIZZFGK6NHCOKQB2AZW/action/replication_record"}},"created_at":"2026-05-20T02:05:43.467486+00:00","updated_at":"2026-05-20T02:05:43.467486+00:00"}