Some applications of quasi-velocities in optimal control

• Autor(a) principal: Abrunheiro, Lígia
• Data de Publicação: 2011
• Outros Autores: Camarinha, Margarida, Cariñena, José F., Clemente-Gallardo, Jesús, MartÍnez, Eduardo, Santos, Patricia
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10773/39605
• topic: Optimal control; Nonholonomic systems; Lie algebroids; Quasi-velocities

In this paper we study optimal control problems for nonholonomic systems defined on Lie algebroids by using quasi-velocities. We consider both kinematic, i.e. systems whose cost functional depends only on position and velocities, and dynamic optimal control problems, i.e. systems whose cost functional depends also on accelerations. The formulation of the problem directly at the level of Lie algebroids turns out to be the correct framework to explain in detail similar results appeared recently [20]. We also provide several examples to illustrate our construction.