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Frontiers of Mechanical Engineering

2020, Volume 15,  Issue 4, Pages 645-658
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    Chord error constraint based integrated control strategy for contour error compensation

    School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510641, China

    Received:2020-09-14 Accepted: 2020-10-29 Available online:2020-10-29
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    10.1007/s11465-020-0601-7
    Cite this article
    Tie ZHANG, Caicheng WU, Yanbiao ZOU.Chord error constraint based integrated control strategy for contour error compensation[J].Frontiers of Mechanical Engineering,2020,15(4):645-658.

    Abstract

    As the traditional cross-coupling control method cannot meet the requirements for tracking accuracy and contour control accuracy in large curvature positions, an integrated control strategy of cross-coupling contour error compensation based on chord error constraint, which consists of a cross-coupling controller and an improved position error compensator, is proposed. To reduce the contour error, a PI-type cross-coupling controller is designed, with its stability being analyzed by using the contour error transfer function. Moreover, a feed rate regulator based on the chord error constraint is proposed, which performs speed planning with the maximum feed rate allowed by the large curvature position as the constraint condition, so as to meet the requirements of large curvature positions for the chord error. Besides, an improved position error compensation method is further presented by combining the feed rate regulator with the position error compensator, which improves the tracking accuracy via the advance compensation of tracking error. The biaxial experimental results of non-uniform rational B-splines curves indicate that the proposed integrated control strategy can significantly improve the tracking and contour control accuracy in biaxial contour following tasks.

    Keywords

    cross-coupling controller ; contour error ; tracking error ; position error compensator ; feed rate regulator
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