Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints

doi:10.1155/2014/835098

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	Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints
	Zhang, Qiang 1; Li, Shurong 1; Guo, Jianxin 2
	2014
发表期刊	ABSTRACT AND APPLIED ANALYSIS
ISSN	1085-3375
页码	15
摘要	An off-line optimization approach of high precision minimum time feedrate for CNC machining is proposed. Besides the ordinary considered velocity, acceleration, and jerk constraints, dynamic performance constraint of each servo drive is also considered in this optimization problem to improve the tracking precision along the optimized feedrate trajectory. Tracking error is applied to indicate the servo dynamic performance of each axis. By using variable substitution, the tracking error constrained minimum time trajectory planning problem is formulated as a nonlinear path constrained optimal control problem. Bang-bang constraints structure of the optimal trajectory is proved in this paper; then a novel constraint handling method is proposed to realize a convex optimization based solution of the nonlinear constrained optimal control problem. A simple ellipse feedrate planning test is presented to demonstrate the effectiveness of the approach. Then the practicability and robustness of the trajectory generated by the proposed approach are demonstrated by a butterfly contour machining example.
DOI	10.1155/2014/835098
语种	英语
资助项目	Foundation of UPC for the Author of National Excellent Doctoral Dissertation[120501A] ; Natural Science Foundation of Shandong Province[ZR2012FQ020]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000343429500001
出版者	HINDAWI PUBLISHING CORPORATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27137
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Qiang
作者单位	1.China Univ Petr East China, Coll Informat & Control Engn, Qingdao 266580, Peoples R China 2.Chinese Acad Sci, NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Qiang,Li, Shurong,Guo, Jianxin. Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints[J]. ABSTRACT AND APPLIED ANALYSIS,2014:15.
APA	Zhang, Qiang,Li, Shurong,&Guo, Jianxin.(2014).Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints.ABSTRACT AND APPLIED ANALYSIS,15.
MLA	Zhang, Qiang,et al."Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints".ABSTRACT AND APPLIED ANALYSIS (2014):15.