{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-11474508","patent":{"patent_number":"US-11474508","title":"Projection methods to impose equality constraints on algebraic models","assignee":null,"inventors":[],"filing_date":"2020-07-31T00:00:00.000Z","publication_date":"2022-10-18T00:00:00.000Z","cpc_codes":["G05B","G06N","G05B","G05B","G06F","G06F","G06N"],"num_claims":36,"abstract":"Computer implemented methods and systems incorporate physics-based and/or chemistry-based constraints into a model of a chemical, physical, or industrial process. The model is derived from a representative dataset of the subject process. The constrained model provides predictions of process behavior that are guaranteed to be consistent with incorporated constraints such as mass balances, atom balances, and/or energy balances while being less computationally intensive than equivalent first principle models. The constrained model can be constructed by matrix multiplication, namely multiplying the solution of an unconstrained linear model by a matrix that enforces the constraints. Improved process control models result, as well as improved process modeling and simulation models result."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Projection methods to impose equality constraints on algebraic models","description":"Computer implemented methods and systems incorporate physics-based and/or chemistry-based constraints into a model of a chemical, physical, or industrial process. The model is derived from a represent","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-11474508","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-11474508","citation_suggestion":"Patentable. \"Projection methods to impose equality constraints on algebraic models\" (US-11474508). https://patentable.app/patents/US-11474508","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-11474508","json":"https://patentable.app/api/llm-context/US-11474508","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-30T14:45:57.041Z"}