Modeling and Pose Control of Robotic Manipulators and Legs using Conformal Geometric Algebra



Título del documento: Modeling and Pose Control of Robotic Manipulators and Legs using Conformal Geometric Algebra
Revue: Computación y sistemas
Base de datos: PERIÓDICA
Número de sistema: 000388895
ISSN: 1405-5546
Autores: 1
2
3
4
4
4
Instituciones: 1Instituto Tecnológico y de Estudios Superiores de Monterrey, Guadalajara, Jalisco. México
2Instituto Tecnológico y de Estudios Superiores de Occidente, Guadalajara, Jalisco. México
3Universidad Veracruzana, Ciudad Mendoza, Veracruz. México
4Instituto Politécnico Nacional, Centro de Investigación y de Estudios Avanzados, Guadalajara, Jalisco. México
Año:
Periodo: Jul-Sep
Volumen: 19
Número: 3
Paginación: 475-486
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, aplicado
Resumen en inglés Controlling the pose of a manipulator involves finding the correct configuration of the robot's elements to move the end effector to a desired position and orientation. In order to find the geometric relationships between the elements of a robot manipulator, it is necessary to define the kinematics of the robot. We present a synthesis of the kinematical model of the pose for this type of robot using the conformal geometric algebra framework. In addition, two controllers are developed, one for the position tracking problem and another for the orientation tracking problem, both using an error feedback controller. The stability analysis is carried out for both controllers, and their application to a 6-DOF serial manipulator and the legs of a biped robot are presented. By proposing the error feedback and Lyapunov functions in terms of geometric algebra, we are opening a new venue of research in control of manipulators and robot legs that involves the use of geometric primitives, such as lines, circles, planes, spheres
Disciplinas: Ciencias de la computación,
Ingeniería
Palabras clave: Ingeniería biónica y cibernética,
Miembros artificiales,
Visión por computadora,
Control pose,
Manipuladores seriales,
Modelos cinemáticos,
Algebra geométrica
Keyword: Computer science,
Engineering,
Bionics and cybernetics,
Artificial limbs,
Computer vision,
Pose control,
Serial manipulators,
Kinematic models,
Geometric algebra
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