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Real-Time Generation of Near-Minimum-Energy Trajectories Via Constraint-Informed Residual Learning

Domenico Dona', Giovanni Franzese, Cosimo Della Santina, Paolo Boscariol, Basilio Lenzo

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AI summary

A residual learning framework generates near minimum-energy trajectories in real-time, achieving up to 87.3% of optimal performance while running 100 to 1,000 times faster than traditional optimization methods.
Residual learning minimum-energy trajectories real-time planning probabilistic regression robotic motion planning active learning

Problem

Traditional minimum-energy trajectory planning relies on solving nonlinear optimal control problems, which are computationally expensive and cannot meet real-time requirements for adaptive robotic applications.

Approach

The method uses residual learning to predict only the correction needed to steer a standard trajectory toward optimality, embedding boundary conditions as hard constraints and leveraging probabilistic regressors for uncertainty-aware planning.

Key results

  • Achieves 87.3% of optimal performance near training data and 50.8% far from it
  • Reduces computation time by two to three orders of magnitude compared to OCP solvers
  • Embeds boundary conditions as hard constraints while requiring less training data
  • Integrates active learning and uncertainty quantification to guide data collection

Why it matters

Enables real-time, energy-efficient motion planning for industrial robots, directly supporting sustainable manufacturing and adaptive automation.

Abstract

No abstract on file.

Index terms

Industrial Robots Optimization and Optimal Control Learning from Demonstration

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