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Modeling of Inverse Kinematic of 3-DoF Robot, Using Unit Quaternions and Artificial Neural Network

Eusebio Jiménez López, Daniel Servín de la Mora-Pulido, Luis Alfonso Reyes-Ávila, Raúl Servín de la Mora-Pulido, Javier Melendez-Campos, Aldo López-Martínez

2021Robotica24 citationsDOI

Abstract

SUMMARY This paper presents a novel method for modeling a 3-degree of freedom open kinematic chain using quaternions algebra and neural network to solve the inverse kinematic problem. The structure of the network was composed of 3 hidden layers with 25 neurons per layer and 1 output layer. The network was trained using the Bayesian regularization backpropagation. The inverse kinematic problem was modeled as a system of six nonlinear equations and six unknowns. Finally, both models were tested using a straight path to compare the results between the Newton–Raphson method and the network training.

Topics & Concepts

KinematicsInverse kinematicsArtificial neural networkBackpropagationQuaternionNonlinear systemRegularization (linguistics)Computer scienceInverseKinematics equationsForward kinematicsControl theory (sociology)Artificial intelligenceRobot kinematicsAlgorithmMathematicsRobotGeometryMobile robotControl (management)Classical mechanicsQuantum mechanicsPhysicsRobotic Mechanisms and DynamicsAdvanced Numerical Analysis TechniquesAdvanced Measurement and Metrology Techniques
Modeling of Inverse Kinematic of 3-DoF Robot, Using Unit Quaternions and Artificial Neural Network | Litcius