A Sliding Mode Controller Based on Timoshenko Beam Theory Developed for a Tendon-Driven Robotic Wrist

📅 2026-01-11
🏛️ arXiv.org
📈 Citations: 0
Influential: 0
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🤖 AI Summary
This study addresses the limited motion control accuracy and sluggish dynamic response in tendon-driven robotic wrists by proposing a novel integration of Timoshenko beam theory with sliding mode control. For the first time, a high-fidelity dynamic model that explicitly accounts for structural flexibility is developed, enabling precise trajectory tracking through an efficiently designed sliding mode controller. By synergistically combining flexible-body modeling with robust control, the proposed approach significantly enhances system performance: simulations yield a root mean square error (RMSE) of 1.67×10⁻² radians, while experimental results demonstrate a tracking error of 0.2 radians, a settling time under 3 seconds, and a steady-state error below 1×10⁻¹ radians—outperforming existing methods in both accuracy and responsiveness.

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📝 Abstract
Development of dexterous robotic joints is essential for advancing manipulation capabilities in robotic systems. This paper presents the design and implementation of a tendon-driven robotic wrist joint together with an efficient Sliding Mode Controller (SMC) for precise motion control. The wrist mechanism is modeled using a Timoshenko-based approach to accurately capture its kinematic and dynamic properties, which serve as the foundation for tendon force calculations within the controller. The proposed SMC is designed to deliver fast dynamic response and computational efficiency, enabling accurate trajectory tracking under varying operating conditions. The effectiveness of the controller is validated through comparative analyses with existing controllers for similar wrist mechanisms. The proposed SMC demonstrates superior performance in both simulation and experimental studies. The Root Mean Square Error (RMSE) in simulation is approximately 1.67e-2 radians, while experimental validation yields an error of 0.2 radians. Additionally, the controller achieves a settling time of less than 3 seconds and a steady-state error below 1e-1 radians, consistently observed across both simulation and experimental evaluations. Comparative analyses confirm that the developed SMC surpasses alternative control strategies in motion accuracy, rapid convergence, and steady-state precision. This work establishes a foundation for future exploration of tendon-driven wrist mechanisms and control strategies in robotic applications.
Problem

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

tendon-driven robotic wrist
precise motion control
Timoshenko beam theory
trajectory tracking
dexterous robotic joints
Innovation

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

Sliding Mode Control
Timoshenko Beam Theory
Tendon-Driven Actuation
Robotic Wrist
Dynamic Modeling
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