Hybrid dynamical system models for human–robot interaction

With the increasing popularity of human-robot interaction (HRI), control systems are becoming more and more interesting and complicated because they need to coordinate continuous human movements and discrete robot decision-making in dynamic environments.The current strategies tend to be less flexible when working collaboratively, take longer to react and become less stable in interaction.This study presents a hybrid nonlinear statespace model, hybrid automata, Model Predictive Control (MPC), Extended Kalman Filter (EKF) and Adaptive Hybrid Interaction Algorithm (AHIA) based Hybrid Dynamical Human-Robot Interaction (HD-HRI) framework for real-time human intent estimation and robot motion planning.The framework is assessed based on the accuracy of interaction, prediction of intent, trajectory tracking error, response latency, collision avoidance rate and task completion success.Experimental results confirm that 95.8% of the interactions are accurate, 94.9% of intents are correctly predicted, 21.6% of trajectory tracking errors is reduced, 18.4% of response latency is reduced, 97.3% of collisions are avoided, and 95.6% of the tasks are completed.The results prove that the proposed hybrid dynamical framework can be effectively implemented in practical applications, which can be reliable, stable, and efficient for human-robot collaboration.

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Publication Details

Journal
Journal of Interdisciplinary Mathematics
Published
2026-10-27
DOI
https://doi.org/10.47974/jim-2815
Primary Topic
Social Robot Interaction and HRI
Type
article
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article

Hybrid dynamical system models for human–robot interaction

Nilima Patil, Ritesh Shrivastav, Nilufar Abdullayeva, Dilmurod Turaev et al.
Journal of Interdisciplinary Mathematics
Social Robot Interaction and HRI
article

Hybrid dynamical system models for human–robot interaction

Nilima Patil, Ritesh Shrivastav, Nilufar Abdullayeva, Dilmurod Turaev, Mukesh Ghogare, Ashwini Pawar, Nair Premchandran
article en

Abstract

With the increasing popularity of human-robot interaction (HRI), control systems are becoming more and more interesting and complicated because they need to coordinate continuous human movements and discrete robot decision-making in dynamic environments.The current strategies tend to be less flexible when working collaboratively, take longer to react and become less stable in interaction.This study presents a hybrid nonlinear statespace model, hybrid automata, Model Predictive Control (MPC), Extended Kalman Filter (EKF) and Adaptive Hybrid Interaction Algorithm (AHIA) based Hybrid Dynamical Human-Robot Interaction (HD-HRI) framework for real-time human intent estimation and robot motion planning.The framework is assessed based on the accuracy of interaction, prediction of intent, trajectory tracking error, response latency, collision avoidance rate and task completion success.Experimental results confirm that 95.8% of the interactions are accurate, 94.9% of intents are correctly predicted, 21.6% of trajectory tracking errors is reduced, 18.4% of response latency is reduced, 97.3% of collisions are avoided, and 95.6% of the tasks are completed.The results prove that the proposed hybrid dynamical framework can be effectively implemented in practical applications, which can be reliable, stable, and efficient for human-robot collaboration.

Journal of Interdisciplinary MathematicsVol. 29(10)
Kimyo International University in Tashkent (UZ), Termez University of Economics and Service (UZ), Bharati Vidyapeeth (Deemed to be University) (IN)
Openalex Percentile: Top 8%
Social Robot Interaction and HRI
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