arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2303.04569cs.ROcs.LGcs.SYeess.SYmath.OC
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机器人安全机器学习支持的模型预测力和运动控制

Safe Machine-Learning-supported Model Predictive Force and Motion Control in Robotics

TU Darmstadt(达姆施塔特工业大学);Otto-von-Guericke-Universität Magdeburg(奥托·冯·格里克马格德堡大学)

Janine Matschek, Johanna Bethge, Rolf Findeisen

摘要:

许多机器人任务,如人机交互或易碎物体的处理,需要严格控制和限制出现的力和力矩以及合理的运动控制,以实现安全而高性能的操作。我们提出了一个学习支持的模型预测力和运动控制方案,提供随机安全保证,同时适应不断变化的情况。高斯过程用于学习将机器人的状态映射到力和力矩的不确定关系。模型预测控制器使用这些高斯过程模型,以实现精确的运动和力控制下的随机约束满足。由于不确定性只发生在静态模型部分-输出方程-一个计算效率高的随机MPC制定。分析了静态不确定情况下最优控制问题的递归可行性和闭环系统的收敛性。基于高斯过程的方差,构造了机会约束公式和退避,以保证安全运行。在一个轻量级的机器人在模拟和实验中说明了这种方法。

英文摘要:

Many robotic tasks, such as human-robot interactions or the handling of fragile objects, require tight control and limitation of appearing forces and moments alongside sensible motion control to achieve safe yet high-performance operation. We propose a learning-supported model predictive force and motion control scheme that provides stochastic safety guarantees while adapting to changing situations. Gaussian processes are used to learn the uncertain relations that map the robot's states to the forces and moments. The model predictive controller uses these Gaussian process models to achieve precise motion and force control under stochastic constraint satisfaction. As the uncertainty only occurs in the static model parts -- the output equations -- a computationally efficient stochastic MPC formulation is used. Analysis of recursive feasibility of the optimal control problem and convergence of the closed loop system for the static uncertainty case are given. Chance constraint formulation and back-offs are constructed based on the variance of the Gaussian process to guarantee safe operation. The approach is illustrated on a lightweight robot in simulations and experiments.

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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