Data-Driven Adaptive Modelling and Control for a Class of Discrete-Time Robotic Systems Based on a Generalized Jacobian Matrix Initialization

Data technology advances have increased in recent years, especially for robotic systems, in order to apply data-driven modelling and control computations by only considering the input and output signals’ relationship. For a data-driven modelling and control approach, the system is considered unknown...

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Bibliographic Details
Main Authors: América Berenice Morales-Díaz, Josué Gómez-Casas, Chidentree Treesatayapun, Carlos Rodrigo Muñiz-Valdez, Jesús Salvador Galindo-Valdés, Jesús Fernando Martínez-Villafañe
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/11/11/2555
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Summary:Data technology advances have increased in recent years, especially for robotic systems, in order to apply data-driven modelling and control computations by only considering the input and output signals’ relationship. For a data-driven modelling and control approach, the system is considered unknown. Thus, the initialization values of the system play an important role to obtain a suitable estimation. This paper presents a methodology to initialize a data-driven model using the pseudo-Jacobian matrix algorithm to estimate the model of a mobile manipulator robot. Once the model is obtained, a control law is proposed for the robot end-effector position tasks. To this end, a novel neuro-fuzzy network is proposed as a control law, which only needs to update one parameter to minimize the control error and avoids the chattering phenomenon. In addition, a general stability analysis guarantees the convergence of the estimation and control errors and the tuning of the closed-loop control design parameters. The simulations results validate the performance of the data-driven model and control.
ISSN:2227-7390