This paper focuses on automatic guided vehicle (AGV) trajectory planning in the presence of moving obstacles with known but complicated trajectories. In order to achieve good solution precision, optimality and unification, the concerned task should be formulated as an optimal control problem, and then discretized into a nonlinear programming (NLP) problem, which is numerically optimized thereafter. Without a near-feasible or near-optimal initial guess, the NLP-solving process is usually slow. With the purpose of accelerating the NLP solution, a search-based rough planning stage is added to generate appropriate initial guesses. Concretely, a continuous state space is formulated, which consists of Cartesian product of 2D configuration space and a time dimension. The rough trajectory is generated by a graph-search based planner, namely the A* algorithm. Herein, the nodes in the graph are constructed by discretizing the aforementioned continuous spatio-temporal space. Through this first-search-then-optimization framework, optimal solutions to unified trajectory planning problems can be obtained fast. Simulations have been conducted to verify the real-time performance of our proposal.
翻译:本文侧重于在已知但复杂轨迹存在移动障碍的情况下自动引导飞行器(AGV)轨迹规划。为了实现良好的解决方案精确、优化和统一,相关任务应被确定为最佳控制问题,然后分解成非线性编程(NLP)问题,此后将对其进行数字优化。如果没有近乎可行的或近于最佳的初步猜测,NLP解决过程通常会很慢。为了加速NLP解决方案,将增加基于搜索的粗略规划阶段,以产生适当的初步猜测。具体地说,设计了一个连续状态空间,由2D配置空间和时间维度的Cartesian产品组成。粗略轨迹是由基于图形的绘图搜索仪生成的,即 A* 算法。海林,图中的节点是通过上述连续的磁场-时空空间的分解构建的。通过这一首先研究即当时的优化框架,可以快速获得统一轨迹规划问题的最佳解决方案。已经进行了模拟,以核实我们提案的实时性能。