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Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints
Zhang, Qiang1; Li, Shurong1; Guo, Jianxin2
2014
Source PublicationABSTRACT AND APPLIED ANALYSIS
ISSN1085-3375
Pages15
AbstractAn 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.
DOI10.1155/2014/835098
Language英语
Funding ProjectFoundation of UPC for the Author of National Excellent Doctoral Dissertation[120501A] ; Natural Science Foundation of Shandong Province[ZR2012FQ020]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000343429500001
PublisherHINDAWI PUBLISHING CORPORATION
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27137
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Qiang
Affiliation1.China Univ Petr East China, Coll Informat & Control Engn, Qingdao 266580, Peoples R China
2.Chinese Acad Sci, NCMIS, Beijing 100190, Peoples R China
Recommended Citation
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.
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