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arXiv 2401.02883cs.ROcs.SYeess.SY
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iPolicy:用于反馈运动规划的增量策略算法

iPolicy: Incremental Policy Algorithms for Feedback Motion Planning

Shanghai University(上海大学);Mitsubishi Electric Research Laboratories(三菱电机研究实验室);Pennsylvania State University(宾夕法尼亚州立大学)

Guoxiang Zhao, Devesh K. Jha, Yebin Wang, Minghui Zhu

AI总结:

本文提出iPolicy增量策略算法,通过集成采样与集值最优控制方法,在采样状态空间上执行异步值迭代以同时解决路径规划与控制器综合问题,并证明了其收敛性。

摘要:

本文提出了基于策略的机器人系统运动规划。运动规划文献主要关注开环轨迹规划,随后进行在线跟踪。相反,我们通过求解相关的反馈控制问题,同时解决路径规划与控制器综合问题。我们提出了一种新颖的增量策略(iPolicy)运动规划算法,该算法集成了基于采样的方法与集值最优控制方法,为机器人系统计算反馈控制器。具体而言,我们使用采样来增量构建系统的状态空间。在采样状态空间上执行异步值迭代,以综合增量策略反馈控制器。我们证明了估计值在连续状态空间中对最优值函数的收敛性。包含各种不同动力学系统(包括非完整系统)的数值结果验证了iPolicy的最优性与有效性。

英文摘要:

This paper presents policy-based motion planning for robotic systems. The motion planning literature has been mostly focused on open-loop trajectory planning which is followed by tracking online. In contrast, we solve the problem of path planning and controller synthesis simultaneously by solving the related feedback control problem. We present a novel incremental policy (iPolicy) algorithm for motion planning, which integrates sampling-based methods and set-valued optimal control methods to compute feedback controllers for the robotic system. In particular, we use sampling to incrementally construct the state space of the system. Asynchronous value iterations are performed on the sampled state space to synthesize the incremental policy feedback controller. We show the convergence of the estimates to the optimal value function in continuous state space. Numerical results with various different dynamical systems (including nonholonomic systems) verify the optimality and effectiveness of iPolicy.

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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