Minimum Time Trajectory Optimization of CNC Machining with Tracking Error Constraints

المؤلفون المشاركون

Zhang, Qiang
Guo, Jianxin
Shu-rong, Li

المصدر

Abstract and Applied Analysis

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-15، 15ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-07-17

دولة النشر

مصر

عدد الصفحات

15

التخصصات الرئيسية

الرياضيات

الملخص 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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1034039