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Predefined-time robust contour tracking of robotic manipulators
Authors:Aldo Jonathan Muñoz-Vázquez  Juan Diego Sánchez-Torres  Salvador Gutiérrez-Alcalá  Esteban Jiménez-Rodríguez  Alexander G. Loukianov
Affiliation:1. CONACYT – School of Engineering, Autonomous University of Chihuahua, Campus II, Circuito Universitario, C.P. 31100, Chihuahua, Mexico;2. Research Laboratory on Optimal Design, Devices and Advanced Materials -OPTIMA-, Department of Mathematics and Physics, ITESO, Periférico Sur Manuel Gómez Morín 8585, Tlaquepaque C.P. 45604, Jalisco, Mexico;3. Facultad de Ingeniería, Universidad Panamericana, Zapopan C.P. 45010, Jalisco, Mexico;4. Department of Electrical Engineering, CINVESTAV-IPN Guadalajara, Av. del Bosque 1145 Col. El Bajío, Guadalajara C.P. 45019, Jalisco, Mexico
Abstract:Robotic tasks are primarily defined to comply to spatial and time constraints, and in several of such tasks, it is required to track a nominal contour depending just on spatial coordinates, without involving the time variable in the definition of such a contour, in contrast to conventional trajectory tracking schemes. With the aim to satisfy the salient requirements of these robotic tasks, this paper presents an integrated robust controller. The contour is encoded by using a robust velocity field, such that, any particle immerse in such field converges in predefined-time to a predefined vicinity of the given contour. Then, a robust controller is proposed to enforce the velocity field, in turns, in predefined-time. In this sense, a predefined-time-precision contour tracking is assured, by considering a robust controller that does not assume the exact knowledge of the robot parameters for its real-time implementation. Numerical simulations are conducted to highlight the reliability of the proposed scheme.
Keywords:Corresponding author.
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