| Full text | |
| Author(s): |
Matarazzo Orsino, Renato Maia
Total Authors: 1
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| Document type: | Journal article |
| Source: | PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SC; v. 473, n. 2204 AUG 1 2017. |
| Web of Science Citations: | 3 |
| 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. (AU) | |
| FAPESP's process: | 16/09730-0 - Modular methodology for the mathematical modeling of dynamic systems extended for distributed parameter systems |
| Grantee: | Renato Maia Matarazzo Orsino |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |