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Adaptive Physical Human�Robot Interaction Via a Passivity-Aware Model Predictive Variable Admittance Control

Dalia M. Mahfouz, Paolo Di Lillo, Omar M. Shehata, Elsayed Morgan, Filippo Arrichiello

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Key figure (auto-extracted from paper)
A real-time optimization framework adapts robot compliance based on human force direction and tracking error, achieving safe and accurate physical interaction while minimizing passivity violations.
Variable admittance control Model predictive control Passivity constraints Physical human-robot interaction Intent-aware adaptation Safety

Problem

Existing variable admittance controllers for physical human-robot interaction often struggle to balance tracking accuracy, compliance, and safety under unpredictable human behaviors, frequently neglecting force directionality and lacking formal stability guarantees.

Approach

The authors develop a Model Predictive Variable Admittance (MPVA) controller that continuously optimizes stiffness and damping parameters using real-time interaction metrics, explicitly embedding passivity constraints to prevent unsafe energy injection.

Key results

  • Real-time MPC adaptation of admittance parameters using force directionality and tracking error
  • Experimental validation on a 7-DoF Kinova Jaco-2 robot across assistive and resistive modes
  • Competitive tracking accuracy and reduced physical effort compared to fixed-gain and fuzzy baselines
  • Minimal passivity violations ensuring safe energy exchange during physical contact

Why it matters

Enables safer, more intuitive collaborative robotics by providing a mathematically guaranteed, intent-aware compliance strategy for dynamic human-robot tasks.

Abstract

Physical Human–Robot Interaction (pHRI) re- quires control frameworks that balance accuracy, compliance, and safety under variable human behaviors. This paper pro- poses a novel Model Predictive Variable Admittance (MPVA) framework that integrates trajectory tracking, interaction force directionality, and passivity constraints into an online real-time optimization scheme. The proposed architecture is implemented on a 7-DoF Kinova Jaco-2 robot and validated experimentally through mixed assistive and resistive modes with multiple subjects performing pHRI tasks. Results supported by both objective metrics and subjective evaluation through a NASA TLX survey show that the MPVA achieves competitive track- ing accuracy, reducing physical effort with minimal passivity violations compared to other algorithmic baselines such as fixed-gain admittance and fuzzy-based adaptive admittance. This demonstrates safe and effective human-robot physical interaction across diverse modes.

Index terms

Physical Human-Robot Interaction Compliance and Impedance Control Robust/Adaptive Control

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