Design of Minimal Model-Free Control Structure for Fast Trajectory Tracking of Robotic Arms

Q1 Mathematics Applied Sciences Pub Date : 2024-09-18 DOI:10.3390/app14188405
Baptiste Toussaint, Maxime Raison
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引用次数: 0

Abstract

This paper designs a minimal neural network (NN)-based model-free control structure for the fast, accurate trajectory tracking of robotic arms, crucial for large movements, velocities, and accelerations. Trajectory tracking requires an accurate dynamic model or aggressive feedback. However, such models are hard to obtain due to nonlinearities and uncertainties, especially in low-cost, 3D-printed robotic arms. A recently proposed model-free architecture has used an NN for the dynamic compensation of a proportional derivative controller, but the minimal requirements and optimal conditions remain unclear, leading to overly complex architectures. This study aims to identify these requirements and design a minimal NN-based model-free control structure for trajectory tracking. Two architectures are compared, one NN per joint (INN) and one global NN (GNN), each tested on two serial robotic arms in simulations and real scenarios. The results show that the architecture reduces tracking errors (RMSE < 2°). The INN is accurate for decoupled joint dynamics and requires fewer training data than the GNN. A table summarizes the design process. Future works will apply this control structure to low-cost robotic arms and micro-movements.
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设计用于机械臂快速轨迹跟踪的最小无模型控制结构
本文设计了一种基于最小神经网络(NN)的无模型控制结构,用于快速、准确地跟踪机器人手臂的轨迹,这对于大运动、大速度和大加速度至关重要。轨迹跟踪需要精确的动态模型或积极的反馈。然而,由于非线性和不确定性,这种模型很难获得,尤其是在低成本的 3D 打印机械臂中。最近提出的一种无模型架构使用了 NN 对比例导数控制器进行动态补偿,但其最低要求和最佳条件仍不明确,导致架构过于复杂。本研究旨在确定这些要求,并为轨迹跟踪设计一种基于 NN 的最小无模型控制结构。研究比较了两种架构,一种是每个关节一个 NN(INN),另一种是一个全局 NN(GNN),每种架构都在两个串行机械臂上进行了模拟和实际场景测试。结果表明,该架构可减少跟踪误差(RMSE < 2°)。与 GNN 相比,INNN 对解耦关节动态的处理更加准确,所需的训练数据也更少。表格总结了设计过程。未来的工作将把这种控制结构应用于低成本机械臂和微型运动。
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来源期刊
Applied Sciences
Applied Sciences Mathematics-Applied Mathematics
CiteScore
6.40
自引率
0.00%
发文量
0
审稿时长
11 weeks
期刊介绍: APPS is an international journal. APPS covers a wide spectrum of pure and applied mathematics in science and technology, promoting especially papers presented at Carpato-Balkan meetings. The Editorial Board of APPS takes a very active role in selecting and refereeing papers, ensuring the best quality of contemporary mathematics and its applications. APPS is abstracted in Zentralblatt für Mathematik. The APPS journal uses Double blind peer review.
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