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FG-HOCBF: Safe Operation Area Extension and Obstacle Avoidance Direction Guidance for Surface Detection in Narrow Environments

Yujie Li, Zhitao Gao, Chen Chen, Fangyu Peng, Yukui Zhang, Rong Yan, Xiaowei Tang, Wenke Zhou

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Key figure (auto-extracted from paper)
A force-guided control barrier function combined with super-ellipsoid envelopes enables robots to safely navigate narrow, curved environments with precise directional control and minimal detours.
Robot safety Control barrier functions Surface detection Obstacle avoidance Super-ellipsoid envelope Narrow environments

Problem

Traditional spherical barriers compress operational space in narrow environments, while standard high-order control barrier functions lack explicit direction guidance, leading to redundant detours and task failure during close-range curved surface inspection.

Approach

The method partitions complex surfaces using rotated and scaled super-ellipsoids for accurate boundary characterization, then applies a force-guided control barrier function that generates directional steering forces to keep the robot on a desired path while strictly avoiding collisions.

Key results

  • Super-ellipsoid envelope reduces volume and computation time versus spherical/MVESE baselines
  • FG-HOCBF enables precise directional guidance for close-range surface detection
  • Shorter detour trajectories and expanded operational space in narrow curved environments
  • Simulations and experiments validate strict safety and effective trajectory tracking

Why it matters

Enables reliable, collision-free robotic inspection of complex curved components like aircraft engine blades in confined industrial settings.

Abstract

High-order control barrier functions (HOCBFs) that can achieve strict safety guarantees are widely used in robot safety control. However, robot obstacle avoidance in narrow environments with curved surfaces, as represented by aircraft blade detection, is still a challenge. Considering the narrow space between adjacent blades, the traditional spherical barrier boundary is not suitable for flat curved surface blades, which cannot obtain sufficient operational space. Furthermore, the lengths of obstacle avoidance paths in different directions vary greatly under the overall distortion characteristics of the blades, and HOCBF lacks explicit direction guidance. To navigate these challenges, we firstly propose an accurate surface envelope method with short solution time through rotated and scaled super-ellipsoids to obtain a large operational space. Building upon this, we propose a novel force-guided high-order control barrier function (FG-HOCBF) method to guide robot to closely adhere to the surface along the desired direction and complete detection of specific areas, which consists of two components: surface normal approach judgment and guiding force generation in desired direction. Finally, simulations and experiments validate the performance of the proposed method.

Index terms

Robot Safety Collision Avoidance

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