| Texto completo | |
| Autor(es): |
Costa Alberto, Luis Fernando
[1]
;
Siqueira, Daniel S.
[1]
;
Bretas, Newton Geraldo
[1]
;
Chiang, Hsiao-Dong
[2]
Número total de Autores: 4
|
| Afiliação do(s) autor(es): | [1] Univ Sao Paulo, Sao Carlos Sch Engn, Elect & Comp Engn Dept, BR-05508220 Sao Carlos - Brazil
[2] Cornell Univ, Sch Elect & Comp Engn, Ithaca, NY 14850 - USA
Número total de Afiliações: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | IEEE Transactions on Automatic Control; v. 66, n. 7, p. 3111-3122, JUL 2021. |
| Citações Web of Science: | 0 |
| Resumo | |
Nonlinear dynamical systems exhibiting complex structure in their limit sets, such as chaotic and closed orbits, do not admit energy functions. The theory of generalized energy functions, which may assume positive derivative in some bounded sets, appears as an alternative to study the asymptotic behavior of solutions of these systems. In this article, a generalized energy function and a complete characterization of the stability boundary and stability region are developed for a class of third-order dynamical systems. This class of systems appears in electrical power system models and has a class of quasi-gradient systems and second-order systems as particular cases. These systems may admit complex structure in their limit sets and do not admit an energy function that is general for the class. Numerical examples illustrate how generalized energy functions provide estimates of stability regions. (AU) | |
| Processo FAPESP: | 11/23345-8 - Aplicação de Funções Energia Generalizadas de Controle no Projeto de Reguladores para TCSCs em Sistemas Elétricos de Potência. |
| Beneficiário: | Daniel Souto Siqueira |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 14/50851-0 - INCT 2014: Instituto Nacional de Ciência e Tecnologia para Sistemas Autônomos Cooperativos Aplicados em Segurança e Meio Ambiente |
| Beneficiário: | Marco Henrique Terra |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |