Regular Papers

International Journal of Control, Automation and Systems 2016; 14(4): 1021-1035

https://doi.org/10.1007/s12555-014-0495-4

© The International Journal of Control, Automation, and Systems

Smooth Trajectory Planning for a Parallel Manipulator with Joint Friction and Jerk Constraints

Liang Liu, Chaoying Chen, Xinhua Zhao*, and Yangmin Li*

University of Macau

Abstract

In order to achieve better tracking accuracy effectively, a new smooth and near time-optimal trajectory planning approach is proposed for a parallel manipulator subject to kinematic and dynamic constraints. The complete dynamic model is constructed with consideration of all joint frictions. The presented planning problem can be solved efficiently by formulating a new limitation curve for dynamic constraints and a reduced form for jerk constraints. The motion trajectory is planned with quartic and quintic polynomial splines in Cartesian space and septuple polynomial splines in joint space. Experimental results show that smaller tracking error can be obtained. The developed method can be applied to any robots with analytical inverse kinematic and dynamic solutions.

Keywords Dynamic model, joint friction, parallel robot, time optimization, trajectory planning.

Article

Regular Papers

International Journal of Control, Automation and Systems 2016; 14(4): 1021-1035

Published online August 1, 2016 https://doi.org/10.1007/s12555-014-0495-4

Copyright © The International Journal of Control, Automation, and Systems.

Smooth Trajectory Planning for a Parallel Manipulator with Joint Friction and Jerk Constraints

Liang Liu, Chaoying Chen, Xinhua Zhao*, and Yangmin Li*

University of Macau

Abstract

In order to achieve better tracking accuracy effectively, a new smooth and near time-optimal trajectory planning approach is proposed for a parallel manipulator subject to kinematic and dynamic constraints. The complete dynamic model is constructed with consideration of all joint frictions. The presented planning problem can be solved efficiently by formulating a new limitation curve for dynamic constraints and a reduced form for jerk constraints. The motion trajectory is planned with quartic and quintic polynomial splines in Cartesian space and septuple polynomial splines in joint space. Experimental results show that smaller tracking error can be obtained. The developed method can be applied to any robots with analytical inverse kinematic and dynamic solutions.

Keywords: Dynamic model, joint friction, parallel robot, time optimization, trajectory planning.

IJCAS
December 2024

Vol. 22, No. 12, pp. 3545~3811

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