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이차 계획법을 활용한 부드러운 궤적 생성 방법

Smooth Trajectory Generation Method Using Quadratic Programming Method

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초록

This paper proposes a method that can generate a smooth trajectory from the discontinuous trajectory in kinematic, dynamic, and task-space trajectory constraints. The problem is defined as the minimization of kinetic energy, and then the simulation is performed by using the MATLAB. Kinematic and inverse kinematic equations are derived for the simulation of the 6-DOF robotic arm. The simulation results showed that the trajectory of each joint is generated while satisfying the constraints without any discontinuity. There are small errors in the Cartesian trajectory, but unnecessary deceleration and acceleration can be eliminated. In addition, it is possible to quickly switch between the robotic tasks by applying the proposed method.

Abstract

This paper proposes a method that can generate a smooth trajectory from the discontinuous trajectory in kinematic, dynamic, and task-space trajectory constraints. The problem is defined as the minimization of kinetic energy, and then the simulation is performed by using the MATLAB. Kinematic and inverse kinematic equations are derived for the simulation of the 6-DOF robotic arm. The simulation results showed that the trajectory of each joint is generated while satisfying the constraints without any discontinuity. There are small errors in the Cartesian trajectory, but unnecessary deceleration and acceleration can be eliminated. In addition, it is possible to quickly switch between the robotic tasks by applying the proposed method.

참고문헌 (10)

  1. "Industrial Robot"[URL]
  2. D. Constantinescu, "Smooth and time‐optimal trajectory planning for industrial manipulators along specified paths", Journal of Robotic Systems, 17(5), pp.233~249 (2000)[DOI]
  3. J.E. Bobrow, "Time-Optimal Control of Robotic Manipulators Along Specified Paths", The International Journal of Robotics Research, 4(3), pp.3~17 (1985), SAGE Publications[DOI]
  4. A. Y. Lee, "Infinitely differentiable and continuous trajectory planning for mobile robot control", 201310th International Conference on Ubiquitous Robots and Ambient Intelligence (URAI) (2013)
  5. A. Y. Lee, "Smooth trajectory planning methods using physical limits", Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 229(12), pp.2127~2143 (2015)[DOI]
  6. J. Ichnowski, "GOMP : Grasp-optimized motion planning for bin picking", 2020 IEEE International Conference on Robotics and Automation (ICRA) (2020)
  7. K. M. Lynch, "Modern Robotics", pp.325~326 (2017), Cambridge University Press
  8. Joonyoung Kim, "A practical approach for minimum‐time trajectory planning for industrial robots", Industrial Robot: An International Journal, 37(1), pp.51~61 (2010), Emerald[DOI]
  9. "Neuromeka-Indy7"[URL]
  10. B. Stellato, "OSQP : An operator splitting solver for quadratic programs", 2018 UKACC 12th International Conference on Control (CONTROL) (2018)

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