首页|受限空间机械臂避障路径与能耗最优研究

受限空间机械臂避障路径与能耗最优研究

扫码查看
为了探讨在空间受限情况下,机械臂避障路径与能耗之间的最优关系,以五连杆机械臂为研究对象,采用D-H矩阵构建数学模型,以Euler-Lagrange方程建立动力学方程;根据系统特性,建立了机械臂最优能耗系统方程及其必要条件限制方程,运用直接配置非线性规划(DCNLP)法将两端点边界值问题(TPBVP)转换为一般非线性规划问题,采用符号语言进行编程,运算求解出系统的最优值。应用MATLAB软件进行仿真,结果表明,在受限空间内,开启避障功能时,随障碍物体积(半径)逐步增大,机械臂执行任务总时间及能耗指标值逐步增大,并在障碍物体积(半径)增大至某一值时,最优时间及能耗指标值陡增,而当障碍物体积(半径)增大至某一极值时,机械臂将无法避障。
Obstacle avoidance path planning of robotic arm and least-energy maneuver in a confined workspace
In order to explores the optimal maneuver of a five-link robotic manipulator navigating through obstacle within a con-fined workspace,the Denavit-Hartenberg convention was applied in order to define the configuration of the manipulator.The Eul-er-Lagrange equation was adopted to describe the dynamics of the manipulator system.Optimal control theory was introduced to yield a least energy consumption path planning control scheme.This study takes Direct Collocation and Nonlinear Program(DC-NLP)method to solve the Two-Point Boundary-Value Problem(TPBVP).DCNLP converts TPBVP into nonlinear programming problem and solves it numerical with Symbolic language.The manipulator needs to stay away from the obstacle and come up with a least energy control scheme and a smooth path planning maneuver.According to the simulations with MATLAB software,once the mechanism of obstacle avoidance is turned on,it is obvious that the working time and cost index value keep increasing as the radi-us of the obstacle sphere gets larger and larger.When the radius exceeds the extreme value,the mission becomes infeasible to complete.This study provides a scheme which foretells the maximal size of the obstacle sphere.

confined workspacerobotic armobstacle avoidance path planningoptimal energy

黄广伟、陈军杰

展开 >

东莞城市学院智能制造学院,东莞 523419

受限空间 机械臂 避障路径规划 能耗最优

东莞市社会发展科技项目东莞城市学院青年教师发展基金项目东莞城市学院高等教育教学改革项目

202118009005722021QJY005Z2021yjjg015

2024

现代制造工程
北京机械工程学会 北京市机械工业局技术开发研究所

现代制造工程

CSTPCD北大核心
影响因子:0.374
ISSN:1671-3133
年,卷(期):2024.(1)
  • 6