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Recursive modular modelling methodology for lumped-parameter dynamic systems.


ABSTRACT: 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.

SUBMITTER: Orsino RMM 

PROVIDER: S-EPMC5582173 | biostudies-literature | 2017 Aug

REPOSITORIES: biostudies-literature

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Recursive modular modelling methodology for lumped-parameter dynamic systems.

Orsino Renato Maia Matarazzo RMM  

Proceedings. Mathematical, physical, and engineering sciences 20170830 2204


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 cond  ...[more]

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