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arXiv 1703.04232cs.AIcs.SYeess.SY
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混合域上启发式搜索规划中的数值积分和动态离散

Numerical Integration and Dynamic Discretization in Heuristic Search Planning over Hybrid Domains

University of Melbourne(墨尔本大学);Australian National University(澳大利亚国立大学)

Miquel Ramirez, Enrico Scala, Patrik Haslum, Sylvie Thiebaux

摘要:

在本文中,我们期待在混合域的规划问题,其中的变化可以是离散的和瞬时的,或连续的时间。此外,还要求由计划的执行引起的轨迹上的每个状态符合给定的全局约束集合。我们的方法计算计划等领域的问题搜索确定性的状态模型。在该模型中,一些后继状态通过数值求解由当前计划前缀给出的一组常微分方程(ODE)上的所谓初值问题来获得。这些方程在持续时间动态确定的时间间隔内保持不变,根据是否发生过零事件的一组不变条件。由此产生的计划,FS+,结合了这些功能与有效的启发式指导。FS+不施加任何语法限制的过程中经常发现现有的混合规划文献的影响。我们的方法的一个关键概念是,一个明确的分离之间的规划和模拟的时间步骤。前者是在承诺未来行动之前允许观察给定动力系统演化的时间,而后者是环境模型的一部分。FS+被证明是一个强大的计划在一组不同的混合域,从现有的文献混合规划和系统。

英文摘要:

In this paper we look into the problem of planning over hybrid domains, where change can be both discrete and instantaneous, or continuous over time. In addition, it is required that each state on the trajectory induced by the execution of plans complies with a given set of global constraints. We approach the computation of plans for such domains as the problem of searching over a deterministic state model. In this model, some of the successor states are obtained by solving numerically the so-called initial value problem over a set of ordinary differential equations (ODE) given by the current plan prefix. These equations hold over time intervals whose duration is determined dynamically, according to whether zero crossing events take place for a set of invariant conditions. The resulting planner, FS+, incorporates these features together with effective heuristic guidance. FS+ does not impose any of the syntactic restrictions on process effects often found on the existing literature on Hybrid Planning. A key concept of our approach is that a clear separation is struck between planning and simulation time steps. The former is the time allowed to observe the evolution of a given dynamical system before committing to a future course of action, whilst the later is part of the model of the environment. FS+ is shown to be a robust planner over a diverse set of hybrid domains, taken from the existing literature on hybrid planning and systems.

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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