摘要
针对移动机器人的轨迹规划问题,提出了一种基于Bezier曲线的有效解决方法。相对于现有轨迹规划方法,此方法所产生的路径长度更短,轨迹所用时间更短。将轨迹规划问题分为路径规划和速度规划两步来解决。采用Bezier曲线光滑连接线段序列进行路径规划以减小路径长度;考虑整条路径的曲率连续性,证明了Bezier曲线的次数至少为5次。以差动轮式机器人为例,产生了满足其运动学和动力学约束的速度命令,使机器人能平稳光滑地跟踪所规划的路径。仿真结果证明了所提方法的有效性。
In view ofthe trajectory planning for the mobile robots, an efficient method based on Bezier curves is proposed, which produces better solution with shorter path and faster trajectory, compared with the existing methods. The problem of trajectory planning is divided into path planning and velocity planning. A Bezier curve is used to connect each two line-segments to obtain shorter paths. It is proved that the order of the used Bezier curves is at least five to ensure the curvature continuity of the whole path. Taking a differential-driven wheeled mobile as an example, to follow the planned path steadily and smoothly, velocity profile satisfying the constraints of kinematics and dynamics is generated. The simulation results verify the feasibility of the method proposed in this paper.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2018年第3期962-968,共7页
Journal of System Simulation
基金
国家自然科学基金(61573198)
天津市自然科学基金重点支撑项目(14ZCDZGX00798)
