Journal
MECHANISM AND MACHINE THEORY
Volume 137, Issue -, Pages 127-153Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechmachtheory.2019.03.019
Keywords
Trajectory planning; S-curve motion profile; Robotic manipulator; Sigmoid function; Jerk
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Funding
- National Natural Science Foundation of China [51775332, 51675329, 51675342]
- National Key Scientific Instruments and Equipment Development Program of China [2016YFF0101602, 2016YFC0104104]
- Shanghai Committee of Science and Technology [16441906000, 16XD1425000]
- State Key Laboratory of Smart Manufacturing for Special Vehicles and Transmission System [GZ2016KF001]
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In this paper, a smooth and time-optimal S-curve trajectory planning method is proposed to meet the requirements of high-speed and ultra-precision operation for robotic manipulators in modern industrial applications. This method utilizes a piecewise sigmoid function to establish a jerk profile with suitably chosen phase durations such that the generated trajectories are infinitely continuously differentiable under the given constraints on velocity, acceleration and jerk. All the trajectory parameters are derived with an analytical algorithm to ensure an acceptable computational cost. This S-curve model achieves a greater efficiency than the trigonometric models, while avoiding the high complexity presented by conventional high order polynomial models. The trade-offbetween efficiency and smoothness can be modulated by the limit value of the snap (the derivative of jerk), this feature is advantageous for adapting to different task requirements. Furthermore, a synchronization strategy is suggested to coordinate multi-axis motions, enabling the full capabilities of the actuators to be exploited. The feasibility and practicality of the proposed approach is evaluated by the simulation and experimental studies in comparison with other benchmark techniques in the literature. (c) 2019 Elsevier Ltd. All rights reserved.
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