Time-optimal trajectory planning based on event-trigger and conditional proportional control

PLoS One. 2023 Jan 30;18(1):e0273640. doi: 10.1371/journal.pone.0273640. eCollection 2023.

Abstract

Trajectory planning is an important issue for manipulators and robots. To get a optimal trajectory, many constraints including actuators specifications, motion range of joints, workspace limitations, etc, and many objectives including the shortest time, the shortest distance, the lowest energy consumption, the minimum oscillations, obstacles-avoiding, etc, should be considered both. In this paper, firstly, the forward kinematics and inverse kinematics of a five axis manipulator are deduced. And, a simple method to choose one appropriate solution from multi solutions of inverse kinematics is proposed. Secondly, an easy-implemented optimization method of trajectory planning is proposed based on seventh order polynomial interpolation, event-trigger mechanism and conditional proportional control (P control). The proposed optimization method can capture the time optimal trajectory, and the actuators specifications including velocity, acceleration of motor can be guaranteed as well. Thirdly, comparative simulations and experiments validate the effectiveness and efficiency of proposed optimization method. The research provides an insight for the application of trajectory optimization on the micro controller with low computing capability and high real-time performance requirement.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Acceleration
  • Algorithms*
  • Biomechanical Phenomena
  • Motion
  • Movement*

Grants and funding

This research was funded by Fundamental Research Funds for the Central Universities (2022JBMC025), National Natural Science Foundation of China (62103036), and Joint Fund of the Ministry of Education for Equipment Pre-research (8091B032147).