The Omega Turn: A General Turning Template for Elongate Robots

📅 2025-10-14
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🤖 AI Summary
Slender, limbless robots exhibit poor turning capability and low robustness in complex, cluttered environments. Method: Inspired by the locomotion of *Caenorhabditis elegans*, this paper proposes a biologically grounded, generalizable Omega Turn steering template. We formulate the Omega Turn as an analytical waveform equation representing the superposition of two traveling waves—marking the first such analytical modeling—and develop a platform-agnostic steering control framework applicable to both limbless and multi-legged slender robots. The controller integrates theoretical modeling, kinematic comparison with biological motion, and dynamic constraints. Contribution/Results: The approach enables stable, adaptive turning in both laboratory and real-world unstructured environments. Experimental validation across multiple slender robot platforms demonstrates significant improvements in turning accuracy and environmental adaptability, alongside exceptional robustness and generalization capability.

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📝 Abstract
Elongate limbless robots have the potential to locomote through tightly packed spaces for applications such as search-and-rescue and industrial inspections. The capability to effectively and robustly maneuver elongate limbless robots is crucial to realize such potential. However, there has been limited research on turning strategies for such systems. To achieve effective and robust turning performance in cluttered spaces, we take inspiration from a microscopic nematode, C. elegans, which exhibits remarkable maneuverability in rheologically complex environments partially because of its ability to perform omega turns. Despite recent efforts to analyze omega turn kinematics, it remains unknown if there exists a wave equation sufficient to prescribe an omega turn, let alone its reconstruction on robot platforms. Here, using a comparative theory-biology approach, we prescribe the omega turn as a superposition of two traveling waves. With wave equations as a guideline, we design a controller for limbless robots enabling robust and effective turning behaviors in lab and cluttered field environments. Finally, we show that such omega turn controllers can also generalize to elongate multi-legged robots, demonstrating an alternative effective body-driven turning strategy for elongate robots, with and without limbs.
Problem

Research questions and friction points this paper is trying to address.

Developing effective turning strategies for elongate limbless robots
Prescribing omega turn kinematics using wave equations
Enabling robust turning in cluttered environments for robots
Innovation

Methods, ideas, or system contributions that make the work stand out.

Omega turn uses two traveling waves superposition
Controller enables robust turning in cluttered environments
Generalizes to both limbless and multi-legged elongate robots
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