OPTIMAL CONTROL OF UNDERACTUATED MECHANICAL SYSTEMS WITH SYMMETRIES

The aim of this paper is to study optimal control problems for underactuated mechanical systems with symmetries using higher-order Lagrangian mechanics. We variationally derive the corresponding Lagrange - Poincare equations for second-order Lagrangians with constraints defined on trivial principal...

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Detalles Bibliográficos
Autores: Colombo, Leonardo, De Diego, David Martín
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/378179
Acceso en línea:http://hdl.handle.net/10261/378179
Access Level:acceso abierto
Palabra clave:Euler-Poincare
Optimal control
Underactuated systems
Descripción
Sumario:The aim of this paper is to study optimal control problems for underactuated mechanical systems with symmetries using higher-order Lagrangian mechanics. We variationally derive the corresponding Lagrange - Poincare equations for second-order Lagrangians with constraints defined on trivial principal bundles and apply them to study an optimal control problem for an underactuated vehicle.