系统仿真学报 ›› 2022, Vol. 34 ›› Issue (1): 86-92.doi: 10.16182/j.issn1004731x.joss.20-0630

• 仿真建模理论与方法 • 上一篇    下一篇

多机器人组合最大覆盖面积寻优及预测方法

王语童1, 马世伟1, 杨元睿2, 陈超宇2   

  1. 1.上海大学 机电工程与自动化学院,上海 200444;
    2.新加坡国立大学 机械工程系,新加坡 117576
  • 收稿日期:2020-08-26 修回日期:2020-09-16 出版日期:2022-01-18 发布日期:2022-01-14
  • 通讯作者: 马世伟(1965-),男,博士,教授,研究方向为信号处理、图像处理和模式识别等。E-mail:masw@shu.edu.cn
  • 作者简介:王语童(1998-),女,硕士生,研究方向为多机器人深度强化学习。E-mail:13508894496@163.com
  • 基金资助:
    新疆兵团重大项目子项目(2018AA008-04)

Optimization and Prediction for Multi-robot Combination Maximum Coverage Area

Wang Yutong1, Ma Shiwei1, Yang Yuanrui2, Chen Chaoyu2   

  1. 1. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, China;
    2. Department of Mechanical Engineering, National University of Singapore, Singapore 117576, China
  • Received:2020-08-26 Revised:2020-09-16 Online:2022-01-18 Published:2022-01-14

摘要: 针对多机器人协同情况下最大覆盖面积的最优控制问题,提出了一种遵循叠加原则和强度径向衰减圆盘模型的多机器人组合有效覆盖面积估计、寻优、预测方法。使用蒙特卡罗法对机器人组合的有效覆盖面积值进行估算;使用多种群遗传算法得出组合的最大有效覆盖面积;使用支持向量回归机预测机器人个数与最大有效覆盖面积之间的关系。针对寻优以及预测结果进行了仿真实验,结果表明:在目标函数复杂和训练样本数少的情况下该方法具有良好的寻优和预测性能。

关键词: 多机器人协同, 覆盖面积, 多种群遗传算法, 径向衰减圆盘模型

Abstract: Aiming at the optimal control of the multi-robot combination maximum coverage area, based on the intensity radial attenuation disc model and following the superposition principle, a method for estimating, optimizing and predicting the effective coverage area of the multi-robot combination is proposed. The Monte Carlo method is used to estimate the effective coverage area of the robot combination, and the multiple population genetic algorithm is used to obtain the maximum effective coverage area of the combination, and the support vector machine regression is used to predict the relationship between the number of robots and the maximum effective coverage area. Simulation experiments are carried out for the optimization and prediction results. The results show that the method has good optimization and prediction performance when the target function is complex, and the number of training samples is limited.

Key words: multi-robot collaboration, coverage area, multi-group genetic algorithm, radial attenuation disk model

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