Time optimal feedrate generation with confined tracking error based on linear programming

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	Time optimal feedrate generation with confined tracking error based on linear programming
其他题名	Time Optimal Feedrate Generation with Confined Tracking Error Based on Linear Programming
	Guo Jianxin 1; Zhang Qiang 2; Gao XiaoShan 1; Li Hongbo 1
	2015-01-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	28 期号:1 页码:80-95
摘要	In this paper, the problem of time optimal feedrate generation under confined feedrate, axis accelerations, and axis tracking errors is considered. The main contribution is to reduce the tracking error constraint to constraints about the axis velocities and accelerations, when the tracking error satisfies a second order linear ordinary differential equation. Based on this simplification on the tracking error, the original feedrate generation problem is reduced to a new form which can be efficiently solved with linear programming algorithms. Simulation results are used to validate the methods.
其他摘要	In this paper, the problem of time optimal feedrate generation under confined feedrate, axis accelerations, and axis tracking errors is considered. The main contribution is to reduce the tracking error constraint to constraints about the axis velocities and accelerations, when the tracking error satisfies a second order linear ordinary differential equation. Based on this simplification on the tracking error, the original feedrate generation problem is reduced to a new form which can be efficiently solved with linear programming algorithms. Simulation results are used to validate the methods.
关键词	CNC MACHINES NURBS INTERPOLATOR CHORD ERROR ALGORITHM PATHS JERK ACCELERATION OPTIMIZATION CONSTRAINTS TOOLS CNC machining dynamics linear programming optimal control time optimal feedrate planning tracking error
收录类别	CSCD
语种	英语
资助项目	[National Key Basic Research Project of China] ; [Natural Science Foundation of China]
CSCD记录号	CSCD:5385393
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/53817
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.中国科学院青岛生物能源与过程研究所
推荐引用方式 GB/T 7714	Guo Jianxin,Zhang Qiang,Gao XiaoShan,et al. Time optimal feedrate generation with confined tracking error based on linear programming[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2015,28(1):80-95.
APA	Guo Jianxin,Zhang Qiang,Gao XiaoShan,&Li Hongbo.(2015).Time optimal feedrate generation with confined tracking error based on linear programming.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,28(1),80-95.
MLA	Guo Jianxin,et al."Time optimal feedrate generation with confined tracking error based on linear programming".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 28.1(2015):80-95.