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Real-Time Generation of Near Minimum-Energy Trajectories via Constraint-Informed Residual Learning: A Paradigm for Learning From Optimal Solutions

April 17, 2026 by Domenico Dona Giovanni Franzese Cosimo Della Santina Paolo Boscariol Basilio Lenzo

Abstract:

Industrial robotics demands significant energy to operate, making energy-reduction methodologies increasingly important. Strategies for planning minimum-energy trajectories typically involve solving nonlinear optimal control problems (OCPs), which rarely cope with real-time (RT) requirements. In this article, we propose a paradigm for generating near minimum-energy trajectories for manipulators by learning from optimal solutions. Our paradigm leverages a residual learning approach, which embeds boundary conditions (BCs) while focusing on learning only the adjustments needed to steer a standard solution to an optimal one. Compared to a computationally expensive OCP-based planner, our paradigm achieves 87.3% of the performance near the training dataset and 50.8% far from the dataset, while being two to three orders-of-magnitude faster.

For more about this article see link below.

https://ieeexplore.ieee.org/document/11344763

For the open access PDF link of this article please click here.

Filed Under: Features Tagged With: Industrial robots, Manipulators, Mathematical models, Numerical models, Probabilistic logic, Service robots, Standards, Trajectory, Uncertainty

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As the flagship magazine of the IEEE Robotics and Automation Society, IEEE Robotics and Automation Magazine (RAM) covers the latest developments in robotics and automation. Its scope ranges from cutting-edge technological advances to emerging social, economic, ethical, and policy issues shaping the field.  Published quarterly (March, June, September, and December), RAM features both high-impact original research articles written in an engaging and accessible style, as well as reviews, columns and opinion pieces addressing a wide range of timely topics.

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IEEE Robotics & Automation Magazine  publishes four issues per year: March, June, September and December.