This article studies a third-order trajectory planning method for point-to-point motion.All available instances for third-order trajectory planning are first analyzed.To distinguish those,three criteria are presented ...This article studies a third-order trajectory planning method for point-to-point motion.All available instances for third-order trajectory planning are first analyzed.To distinguish those,three criteria are presented relying on trajectory characteristics.Following that,a fast preprocessing approach considering the trajectory as a whole is given based on the criteria constructed and system constraints.Also,the time-optimality of the trajectory is obtained.The relevant formulas are derived with the combination of geometrical symmetry of trajectory and area method.As a result,an accurate algorithm and its implementation procedure are proposed.The experimental results show the effectiveness and precision of the proposed method.The presented algorithm has been applied in semiconductor manufacturing equipment successfully.展开更多
In this paper, we study the kinematic mechanism and path planning for a two-caster nonholonomic vehicle (the Essboard) which is a recent variant of skateboard. Different from the most studied Snakeboard, the Essboard ...In this paper, we study the kinematic mechanism and path planning for a two-caster nonholonomic vehicle (the Essboard) which is a recent variant of skateboard. Different from the most studied Snakeboard, the Essboard consists of a torsion bar and two platforms, each of which contains a pedal and a caster. We first investigate the relationship between the tilt angles of the pedals and the wheel directions of the casters. This relationship reveals how to control the wheel directions by adjusting the tilt angles. Next, the rotational radius of the Essboard is derived for a given pair of tilt angles of both pedals. The rotational radius of the Essboard is much different than that of the Snakeboard. Then we develop a path-planning algorithm for the Essboard to move from a start position to the goal, using a series of consecutively connected arcs, which are tangent to each other at the connected points. It is shown from a kinematic point of view that the path planning of the Essboard can be solved by a series of pairs of pedals' tilt angles. Three experiments are conducted to confirm the correctness of the main results. The results in this paper are a foundation for further study of the Essboard.展开更多
文摘This article studies a third-order trajectory planning method for point-to-point motion.All available instances for third-order trajectory planning are first analyzed.To distinguish those,three criteria are presented relying on trajectory characteristics.Following that,a fast preprocessing approach considering the trajectory as a whole is given based on the criteria constructed and system constraints.Also,the time-optimality of the trajectory is obtained.The relevant formulas are derived with the combination of geometrical symmetry of trajectory and area method.As a result,an accurate algorithm and its implementation procedure are proposed.The experimental results show the effectiveness and precision of the proposed method.The presented algorithm has been applied in semiconductor manufacturing equipment successfully.
基金supported by the National Natural Science Foundation of China (Grant Nos. 51105012 and 61175079)
文摘In this paper, we study the kinematic mechanism and path planning for a two-caster nonholonomic vehicle (the Essboard) which is a recent variant of skateboard. Different from the most studied Snakeboard, the Essboard consists of a torsion bar and two platforms, each of which contains a pedal and a caster. We first investigate the relationship between the tilt angles of the pedals and the wheel directions of the casters. This relationship reveals how to control the wheel directions by adjusting the tilt angles. Next, the rotational radius of the Essboard is derived for a given pair of tilt angles of both pedals. The rotational radius of the Essboard is much different than that of the Snakeboard. Then we develop a path-planning algorithm for the Essboard to move from a start position to the goal, using a series of consecutively connected arcs, which are tangent to each other at the connected points. It is shown from a kinematic point of view that the path planning of the Essboard can be solved by a series of pairs of pedals' tilt angles. Three experiments are conducted to confirm the correctness of the main results. The results in this paper are a foundation for further study of the Essboard.
