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A finite element model (FEM) of the problem coupled with IMOR is"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"At Re_D = 50, the QQR controller successfully stabilizes the wake, whereas the linear controller fails to overcome the nonlinearity of the flow.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The reduced-order model obtained via IMOR accurately represents the input-output dynamics of the actuated wake sufficiently well for the QQR design to transfer to the full-order system.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"IMOR-QQR stabilizes the fluidic pinball at Re_D=50 where linear feedback fails and reaches performance criteria 40.1% faster at Re_D=30.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A quadratic-quadratic regulator stabilizes the fluidic pinball wake at Re=50 where linear control fails.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"c0a0fbd09b4f87abb94143f02a0dc511e91592e21d6cd112020167231897fe3f"},"source":{"id":"2605.15438","kind":"arxiv","version":1},"verdict":{"id":"99ee9b62-8ec4-44cf-958e-6c0397a589ef","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T14:34:01.743811Z","strongest_claim":"At Re_D = 50, the QQR controller successfully stabilizes the wake, whereas the linear controller fails to overcome the nonlinearity of the flow.","one_line_summary":"IMOR-QQR stabilizes the fluidic pinball at Re_D=50 where linear feedback fails and reaches performance criteria 40.1% faster at Re_D=30.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The reduced-order model obtained via IMOR accurately represents the input-output dynamics of the actuated wake sufficiently well for the QQR design to transfer to the full-order system.","pith_extraction_headline":"A quadratic-quadratic regulator stabilizes the fluidic pinball wake at Re=50 where linear control fails."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15438/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"cited_work_retraction","ran_at":"2026-05-19T15:54:25.123840Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"citation_quote_validity","ran_at":"2026-05-19T15:50:28.332079Z","status":"completed","version":"0.1.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T15:01:17.671878Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T14:50:23.238215Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T14:21:54.123148Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T13:33:22.688680Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"dea3cf827ec77dacf0f7124e71469e7eb34d64db9f75e90a23d59bdc4440b601"},"references":{"count":51,"sample":[{"doi":"","year":1998,"title":"Numerical simulation of the flow behind a rotary oscillating circular cylinder.PhysicsofFluids, 10(869), 1998","work_id":"ee803e81-8c8a-43b1-b8d6-3d596289529b","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2009,"title":"Closed-loop control of an open cavity flow using reduced- order models.Journal of FluidMechanics, 641:1–50, 2009","work_id":"819e9e3d-d7f1-49ba-bc66-c9a9773d782a","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1993,"title":"Theproperorthogonaldecompositionintheanalysis of turbulent flows.Annual ReviewofFluidMechanics, 25(1):539–575, 1993","work_id":"ad48deb1-25ff-432a-bf29-c1629e80d86e","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2014,"title":"Borggaard and Serkan Gugercin","work_id":"7fec02ec-574b-403b-8944-92708873541f","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2016,"title":"A goal-oriented reduced-order modeling approach for nonlinear systems.ComputersandMathematics withApplications, 71(11):2155–2169, 2016","work_id":"d52cd15b-b487-48d9-9702-1781e921c7b5","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":51,"snapshot_sha256":"505b6422ed232280b8f5e03aa383a61fe132efde6cf8c9eaaacd7d640089e86e","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"}