Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints

Joint Authors

Zhang, Qiang
Guo, Jianxin
Shu-rong, Li

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-07-17

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Zhang, Qiang& Shu-rong, Li& Guo, Jianxin. 2014. Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1034039

Modern Language Association (MLA)

Zhang, Qiang…[et al.]. Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1034039

American Medical Association (AMA)

Zhang, Qiang& Shu-rong, Li& Guo, Jianxin. Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1034039

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1034039