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Dynamic modeling and control of a spherical pendulum with a VSCMG

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Autor(es):
Silva Trentin, Joao Francisco ; Santos, Davi A. ; da Silva, Samuel ; Schaub, Hanspeter
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 44, n. 8, p. 14-pg., 2022-08-01.
Resumo

The study of inverted pendulum configurations has attracted the attention of researchers during many decades. One of the main reasons is that inverted-pendulum models have the feature of approximating the dynamics of many real-world mechanisms. Therefore, this paper presents the detailed dynamic modeling and control of a novel spherical pendulum with a variable speed control moment gyroscope. The dynamic model is obtained from the generic 3D pendulum, and the necessary assumptions to model the spherical pendulum are conducted in order to avoid singularities. Furthermore, a proportional-derivative nonlinear controller based on Lyapunov theory is designed to use favorably the features of the variable speed control moment gyroscope to control the spherical pendulum combining the gyroscopic torque and the torque provided by the reaction wheel. The proposed dynamic model and nonlinear controller are evaluated through numerical simulations for two different scenarios, driving the pendulum to a sequence of attitude commands including the upright position and tracking a desired trajectory. The results have shown that the proposed model is nonsingular and that the control law has provided adequate rates controlling the pendulum in both scenarios. (AU)

Processo FAPESP: 17/12985-2 - Aplicação de controle por momento giroscópico com velocidade variável em um pêndulo com roda de reação
Beneficiário:João Francisco Silva Trentin
Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Mestrado
Processo FAPESP: 20/12314-3 - Modelagem dinâmica multi-corpos e controle de multicópteros grandes com rotores vetoráveis
Beneficiário:João Francisco Silva Trentin
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
Processo FAPESP: 18/13751-8 - Controle de atitude de pêndulos invertidos utilizando rodas de reação e controle por momento giroscópico com velocidade variável
Beneficiário:João Francisco Silva Trentin
Modalidade de apoio: Bolsas no Brasil - Doutorado Direto