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--original--trajectory-optimization-based-on-bezier-polynomial-motion-planning-'s Introduction

Trajectory-optimization-based-on-Bezier-polynomial-motion-planning-

基于贝赛尔曲线的轨迹优化: 前端:Astar寻径 后端:运动走廊膨胀+Bezier

1)前端:Astar寻径 前端path finding使用的是经典的Astar算法,唯一不同的是在搜索的时候对每个node新增了一个与障碍物距离的代价指标,它与启发式代价和累计代价一起决定了node在openlist中的排序。

2)后端:运动走廊膨胀+Bezier优化

①为了得到比较稀疏的运动走廊,膨胀分为两步。第一是基于前端得到的path节点进行膨胀,但是加了一个限制条件,即已经被bounding box覆盖的节点不予膨胀,这样的好处是不用再扩展冗余的box以及为了下一步的简化减少了很大的计算量。第二是对得到的bounding box进一步简化,因为前一步得到的bounding box仍然存在大量重叠的情况,对接下来的轨迹优化来说无疑是无用且消耗计算的,这里简化的核心**是从当前boxNow开始按照顺序找到其不相交的boxA,并将该boxA的前一个boxB保留下来,并删除从boxNow到boxB之间的所有box,然后boxA作为新的boxNow继续删减。

②Bezier优化主要参考资料为《Online Safe Trajectory Generation For Quadrotors Using Fast Marching Method and Bernstein Basis Polynomial》、《Minimum snap trajectory generation and control for quadrotors》、https://www.bilibili.com/video/BV1hs4115713

add: 代码中使用了二次规划库(qpOASES)以及矩阵库(Eigen)

代码在持续优化中...欢迎大家一起交流。

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