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arXiv 2409.05054cs.RO
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基于自适应控制的摩擦估计用于机器人机械臂跟踪控制

Adaptive Control based Friction Estimation for Tracking Control of Robot Manipulators

Technische Universität Darmstadt(达姆施塔特工业大学);German Research Center for AI (DFKI)(德国人工智能研究中心);Hessian Centre for Artificial Intelligence(黑森州人工智能中心)

Junning Huang, Davide Tateo, Puze Liu, Jan Peters

AI总结:

针对机器人机械臂摩擦补偿中非线性静摩擦缺失、估计偏差和鲁棒性不足的问题,提出线性参数化摩擦模型、反步自适应估计器及激励生成算法,并在 KUKA iiwa 14 上验证有效。

摘要:

自适应控制由于不需要力矩传感器,常被用于轨迹跟踪任务中的摩擦补偿。然而,它存在一些缺点:首先,最常见的确定性等价自适应控制设计基于摩擦模型的线性化参数化,因此非线性效应(包括静摩擦和 Stribeck 效应)通常被忽略。其次,基于自适应控制的估计可能因非零稳态误差而产生偏差。第三,忽略未知模型失配可能导致估计不具鲁棒性。本文提出了一种新颖的线性参数化摩擦模型,可捕捉非线性静摩擦现象。随后,基于反步法提出了一种基于自适应控制的摩擦估计器,以减少估计过程中的偏差。最后,我们提出了一种生成激励的算法,以实现鲁棒估计。使用 KUKA iiwa 14,我们开展了轨迹跟踪实验以评估所估计的摩擦模型,包括随机 Fourier 轨迹和绘图轨迹,结果表明了我们的方法在不同控制方案中的有效性。

英文摘要:

Adaptive control is often used for friction compensation in trajectory tracking tasks because it does not require torque sensors. However, it has some drawbacks: first, the most common certainty-equivalence adaptive control design is based on linearized parameterization of the friction model, therefore nonlinear effects, including the stiction and Stribeck effect, are usually omitted. Second, the adaptive control-based estimation can be biased due to non-zero steady-state error. Third, neglecting unknown model mismatch could result in non-robust estimation. This paper proposes a novel linear parameterized friction model capturing the nonlinear static friction phenomenon. Subsequently, an adaptive control-based friction estimator is proposed to reduce the bias during estimation based on backstepping. Finally, we propose an algorithm to generate excitation for robust estimation. Using a KUKA iiwa 14, we conducted trajectory tracking experiments to evaluate the estimated friction model, including random Fourier and drawing trajectories, showing the effectiveness of our methodology in different control schemes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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