Path planning of a climbing robot using mixed integer linear programming
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摘要: 为研究City-Climber爬壁机器人在3D建筑物环境中的路径规划问题,基于混合整数线性规划(MILP, Mixed Integer Linear Programming),提出了一种适用于City-Climber的路径规划方法.为了用MILP方法解决避障问题,首先用限制机器人控制输入的方法对City-Climber的数学模型进行解耦和线性化,再介绍了用MILP方法对控制输入进行描述的数学表达式,并提出了适用于爬壁机器人的新型代价函数,最后以一个方形房间为运动环境,用AMPL和CPLEX优化软件,以及Matlab软件解算路径规划问题.仿真结果表明:MILP方法较好地解决了City-Climber在3D环境下的路径规划和避障问题.Abstract: To study path planning problem in 3D building environments for a climbing robot which is named as City-Climber, a path planning method using mixed integer linear programming (MILP) was developed. In order to use MILP to solve obstacle avoidance problems, the robot dynamic model was simplified and decoupled into linear system by introducing a restricting admissible control. The decoupled model can be rewritten as a linear program with mixed integer linear constraints that account for the collision avoidance. Moreover, a new cost function that is suitable for wall-climbing robot was proposed. A key benefit of this approach is that the path optimization can be readily solved using the AMPL and CPLEX optimization software with a Matlab interface. Simulation results in a cuboid room show that the framework of MILP is suited for path planning and obstacle avoidance problems for the climbing robot in 3D building environments.
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