Time Optimal Trajectory Planning of Elevating Fire Truck Based on Convex Optimization

被引:0
|
作者
Teng R. [1 ]
Li Y. [1 ]
Wang X. [1 ]
Zhao Z. [1 ]
机构
[1] School of Mechanical Engineering, Dalian University of Technology, Dalian
关键词
B-spline; Convex optimization; Elevating fire truck; Time optimal; Trajectory planning;
D O I
10.3901/JME.2019.06.138
中图分类号
学科分类号
摘要
In order to improve the timeliness, reliability and security of elevating fire truck, a time optimal trajectory planning algorithm is proposed, considering the stability and non-impact of motions. Pseudo-displacement s is introduced, to fit discrete points of joints motion and construct continuous geometric path with B-spline. A convex optimization model is established, which is based on the continuous path, time optimal objective function that is formulated with s and its derivatives of time, as well as joint velocity and acceleration constraints. B-spline is utilized to parameterize trajectories with finite-dimensional vector x, and interior point method is used to solvethe convex optimization model, to get optimal trajectories of joints, while guaranteeing that velocities, accelerations and jerks are continuous. The proposed algorithm is simulated on a high elevating fire truck, and the results demonstrate that time optimal trajectory is obtained while the stability of motion is satisfied. © 2019 Journal of Mechanical Engineering.
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页码:138 / 144
页数:6
相关论文
共 16 条
  • [1] Rajan V., Minimum time trajectory planning, IEEE International Conference on Robotics and Automation, pp. 759-764, (1985)
  • [2] Qian D., Tan W., Zhao X., Time optimum trajectory planning for robots based on B-spline path, Journal of Shanghai Jiao Tong University, 32, 12, pp. 31-35, (1998)
  • [3] Cho B.H., Choi B.S., Lee J.M., Time-optimal trajectory planning for a robot system under torque and impulse constraints, International Journal of Control Automation & Systems, 4, 1, pp. 10-16, (2006)
  • [4] Bianco C., Piazzi A., Minimum-time trajectory planning of mechanical manipulators under dynamic constraints, International Journal of Control, 75, 13, pp. 967-980, (2002)
  • [5] Khoukhi A., Baron L., Balazinski M., Et al., A hierarchical neuro-fuzzy system to near optimal-time trajectory planning of redundant manipulators, Engineering Applications of Artificial Intelligence, 21, 7, pp. 974-984, (2008)
  • [6] Gao M., Ding P., Yang Y., Time-optimal trajectory planning of industrial robots based on particle swarm optimization, International Conference on Instrumentation & Measurement, pp. 1934-1939, (2015)
  • [7] Suryawan F., Dona J., Seron M., Minimum-time trajectory generation for constrained linear systems using flatness and B-splines, International Journal of Control, pp. 1565-1585, (2011)
  • [8] Kamalapurkar R., Dinh H., Bhasin S., Et al., Approximate optimal trajectory tracking for continuous-time nonlinear systems, Automatica, 51, pp. 40-48, (2015)
  • [9] Liu H., Lai X., Wu W., Time-optimal and jerk-continuous trajectory planning for robot manipulators with kinematic constraints, Robotics and Computer-integrated Manufacturing, 29, 2, pp. 309-317, (2013)
  • [10] Reynoso-Mora P., Chen W., Tomizuka M., On the time-optimal trajectory planning and control of robotic manipulators along predefined paths, American Control Conference, pp. 371-377, (2013)