Smooth trajectory generation based on contour error constraint and parameter correction b-spline

Author(s):  
Kai Zhao ◽  
Shurong Li ◽  
Zhongjian Kang ◽  
Zhe Liu
2013 ◽  
Vol 418 ◽  
pp. 219-224 ◽  
Author(s):  
Shen Hang Wang ◽  
Jian Hua Hu ◽  
Yun Kuan Wang ◽  
Zheng Jun ◽  
Xiao Fei Qin ◽  
...  

In order to improve the smoothness of electronic cam motion,an electronic cam trajectory generation algorithm based on global optimal control points of quintic non-uniform B-spline is prop-osed. This algorithm solves the problem of non-global optimization in existing approaches caused by transferring kinematic constraints into control point constraints to avoid the semi-infinite constraints problem. The interval ranges of the reserved free control point variables are calculated first, followed by partitioning and checking the subinterval with the property of the objective function and kinemat-ical constraints repeatedly until finding the global optimal control point. Compared with the existing control point constraints algorithm, the object function is optimized further and the electronic cam trajectory is smoother. Finally an practical example of electronic cam proves the effectiveness of the proposed algorithm.


2011 ◽  
Vol 1 ◽  
pp. 262-267
Author(s):  
Ji Zhuang Hui ◽  
Yan Ma ◽  
Ze Feng Liu

In order to meet the needs of high speed and high precision computerized numerical control machining, a calculation based on the control of contour error and feeding acceleration for the real-time interpolation of Non-uniform rational B-spline (NURBS) curves was presented in this paper. On the premise of meeting the error requirement, machine can process parts with the highest feeding speed to achieve interpolation precision and interpolation speed optimization, and improve processing quality and efficiency.


2018 ◽  
Author(s):  
Abdullah Özcan ◽  
Edouard Rivière-Lorphèvre ◽  
François Ducobu
Keyword(s):  
B Spline ◽  

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Karam Eliker ◽  
Guoqing Zhang ◽  
Said Grouni ◽  
Weidong Zhang

This paper deals with the reference flight trajectory generation and planning problems for quadcopter Unmanned Aerial Vehicle (UAV). The reference flight trajectory is defined as the composition of path and motion functions. Both of them are generated by using quintic B-spline functions. Based on differential flatness approach, the quadcopter dynamical constraints are satisfied instantaneously by computing the induced aerodynamical moments and lift force. The optimal reference flight trajectory, with respect to the mission requirements and imposed constraints, is reached by manipulating the control points’ vectors of B-spline functions via a nonlinear constrained optimization method. The mission requirements are defined as a set of waypoints with their respective scheduled flight timetable. A minimum-energy cost function is developed to minimize the consumed energy and induced efforts by reference flight trajectory. For the need of the optimal overfly-times schedule, the overfly times with respect to the defined constraints and performance criteria are calculated. Numerical simulation results show the feasibility and effectiveness of the proposed optimization method.


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