Innovative Design of Multi-functional Supernumerary Robotic Limbs with Ellipsoid Workspace Optimization

📅 2025-11-15
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🤖 AI Summary
Significant functional disparities between upper and lower limbs, coupled with the absence of a unified design theory for general-purpose assistive robotic limbs, hinder the development of versatile extra-limb systems. Method: This paper proposes a multi-objective optimization framework for multifunctional extra limbs. It innovatively employs an ellipsoidal envelope method to quantify task-specific workspaces, integrating metrics for grasp/walk workspace similarity, sit-to-stand support force, and mass-inertia constraints. A multi-subpopulation corrected firefly algorithm is designed to enhance convergence and stability on high-dimensional, irregular Pareto fronts. Structural–performance co-design is achieved through geometric vector modeling, static support-force evaluation, and evolutionary optimization. Contribution/Results: Experiments demonstrate a 7.2% improvement in grasp success rate and reductions of 12.7% and 25.1% in lower-limb muscle activation during walking and sit-to-stand tasks, respectively—validating the effectiveness and practicality of the proposed generalized design methodology.

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📝 Abstract
Supernumerary robotic limbs (SRLs) offer substantial potential in both the rehabilitation of hemiplegic patients and the enhancement of functional capabilities for healthy individuals. Designing a general-purpose SRL device is inherently challenging, particularly when developing a unified theoretical framework that meets the diverse functional requirements of both upper and lower limbs. In this paper, we propose a multi-objective optimization (MOO) design theory that integrates grasping workspace similarity, walking workspace similarity, braced force for sit-to-stand (STS) movements, and overall mass and inertia. A geometric vector quantification method is developed using an ellipsoid to represent the workspace, aiming to reduce computational complexity and address quantification challenges. The ellipsoid envelope transforms workspace points into ellipsoid attributes, providing a parametric description of the workspace. Furthermore, the STS static braced force assesses the effectiveness of force transmission. The overall mass and inertia restricts excessive link length. To facilitate rapid and stable convergence of the model to high-dimensional irregular Pareto fronts, we introduce a multi-subpopulation correction firefly algorithm. This algorithm incorporates a strategy involving attractive and repulsive domains to effectively handle the MOO task. The optimized solution is utilized to redesign the prototype for experimentation to meet specified requirements. Six healthy participants and two hemiplegia patients participated in real experiments. Compared to the pre-optimization results, the average grasp success rate improved by 7.2%, while the muscle activity during walking and STS tasks decreased by an average of 12.7% and 25.1%, respectively. The proposed design theory offers an efficient option for the design of multi-functional SRL mechanisms.
Problem

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

Optimizing supernumerary robotic limbs for rehabilitation and functional enhancement
Developing unified design framework for upper/lower limb functional requirements
Solving multi-objective optimization with workspace similarity and force transmission
Innovation

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

Multi-objective optimization integrating workspace and force criteria
Ellipsoid envelope method for workspace geometric representation
Multi-subpopulation correction firefly algorithm for Pareto optimization
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Jie Zuo
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State Key Laboratory of Intelligent Vehicle Safety Technology, Chongqing Changan Automobile Co Ltd, Chongqing 400023, China
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Zhongzheng Fu
Key Laboratory of the Ministry of Education for Image Processing and Intelligent Control, and the Hubei Key Laboratory of Brain-inspired Intelligent Systems, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China
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Xi Li
Key Laboratory of the Ministry of Education for Image Processing and Intelligent Control, and the Hubei Key Laboratory of Brain-inspired Intelligent Systems, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China
Samer Mohammed
Samer Mohammed
Professor at UPEC
Wearable systems (robotssensors)Rehabilitation Robotics