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Forward geometric model prediction of a 6-RSU parallel manipulator using a modified NARX Bayesian neural network
Alaa Aldeen Joumah1, Assef Jafar1, Chadi Albitar1
1Higher Institute for Applied Sciences and Technology (HIAST), Damascus, P.O.Box 31983, Syria.
Heliyon
|January 6, 2025
Summary
This study introduces a novel NARX-Bayesian Neural Network (BNN) for enhanced Forward Geometric Model (FGM) prediction in robotic manipulators. The improved model offers greater accuracy and reduced uncertainty, boosting robot reliability.
Area of Science:
- Robotics
- Machine Learning
- Control Systems
Background:
- Accurate robot models are crucial for precision and safety in robotic applications.
- Bayesian Neural Networks (BNNs) can model complex systems and quantify uncertainty.
- Existing machine learning methods for Forward Geometric Model (FGM) prediction often lack uncertainty estimation.
Purpose of the Study:
- To propose and evaluate a modified Nonlinear Autoregressive with Exogenous Inputs - Bayesian Neural Network (NARX-BNN) for enhanced FGM prediction.
- To improve the accuracy and reduce predictive uncertainty in FGM estimation for a 6-RSU parallel manipulator.
- To demonstrate the superiority of the proposed NARX-BNN over traditional BNNs.
Main Methods:
- Development of a modified NARX-BNN model integrating BNNs' approximation and uncertainty capabilities with nonlinear ARX predictive power.
- Application of the NARX-BNN to predict the FGM of a 6-RSU parallel manipulator.
- Comparison of NARX-BNN performance against traditional Bayesian shallow neural networks using Variational Inference.
Main Results:
- The NARX-BNN model demonstrated superior performance compared to traditional BNNs.
- At a 95% confidence level, NARX-BNN reduced the Root Mean Square Error (RMSE) by up to 11%.
- NARX-BNN decreased the Average Width of the prediction interval by approximately 12.7%.
Conclusions:
- NARX Bayesian Neural Networks significantly enhance FGM prediction accuracy and reduce uncertainty in robotic applications.
- The proposed method improves the reliability of machine learning models for parallel manipulators.
- Advancements hold promise for better robotic control, planning, and overall system dependability.

