Recursive modular modelling methodology for lumped-parameter dynamic systems

Autor(es)

Matarazzo Orsino, Renato Maia

• Tipo de documento: Artigo Científico
• Fonte: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SC; v. 473, n. 2204 AUG 1 2017.
• Citações Web of Science: 3

Resumo

This paper proposes a novel approach to the modelling of lumped-parameter dynamic systems, based on representing them by hierarchies of mathematical models of increasing complexity instead of a single (complex) model. Exploring the multilevel modularity that these systems typically exhibit, a general recursive modelling methodology is proposed, in order to conciliate the use of the already existing modelling techniques. The general algorithm is based on a fundamental theorem that states the conditions for computing projection operators recursively. Three procedures for these computations are discussed: orthonormalization, use of orthogonal complements and use of generalized inverses. The novel methodology is also applied for the development of a recursive algorithm based on the Udwadia-Kalaba equation, which proves to be identical to the one of a Kalman filter for estimating the state of a static process, given a sequence of noiseless measurements representing the constraints that must be satisfied by the system. (AU)

• Processo FAPESP: 16/09730-0 - Metodologia modular para a modelagem matemática de sistemas dinâmicos estendida para sistemas a parâmetros distribuídos
• Beneficiário: Renato Maia Matarazzo Orsino
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado