Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints
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 tra...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/835098 |
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| _version_ | 1850228050196692992 |
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| author | Qiang Zhang Shurong Li Jianxin Guo |
| author_facet | Qiang Zhang Shurong Li Jianxin Guo |
| author_sort | Qiang Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2c037abde28e4d77a590efb0cdc538ea |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2c037abde28e4d77a590efb0cdc538ea2025-08-20T02:04:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/835098835098Minimum Time Trajectory Optimization of CNC Machining with Tracking Error ConstraintsQiang Zhang0Shurong Li1Jianxin Guo2College of Information and Control Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Information and Control Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaNational Center for Mathematics and Interdisciplinary Sciences (NCMIS), Chinese Academy of Sciences, Beijing 100190, ChinaAn 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.http://dx.doi.org/10.1155/2014/835098 |
| spellingShingle | Qiang Zhang Shurong Li Jianxin Guo Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints Abstract and Applied Analysis |
| title | Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints |
| title_full | Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints |
| title_fullStr | Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints |
| title_full_unstemmed | Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints |
| title_short | Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints |
| title_sort | minimum time trajectory optimization of cnc machining with tracking error constraints |
| url | http://dx.doi.org/10.1155/2014/835098 |
| work_keys_str_mv | AT qiangzhang minimumtimetrajectoryoptimizationofcncmachiningwithtrackingerrorconstraints AT shurongli minimumtimetrajectoryoptimizationofcncmachiningwithtrackingerrorconstraints AT jianxinguo minimumtimetrajectoryoptimizationofcncmachiningwithtrackingerrorconstraints |