Моделирование Алгоритмов Управления Группами Мобильных Роботов Средствами Функционально-Воксельного Метода

Tolok, A. V.; Локтев, М.; Локтев, П.; Sycheva, Anastasiya; Харламова, П.; Сизова, Л.

doi:10.22184/2499-9407.2020.21.04.76.81

Stankoinstrument Russia

2020

DOI: 10.22184/2499-9407.2020.21.04.76.81

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Моделирование Алгоритмов Управления Группами Мобильных Роботов Средствами Функционально-Воксельного Метода

A. V. Tolok¹,

М. Локтев²,

П. Локтев³

et al.

Abstract: Рассматривается пример описания одного из алгоритмов децентрализованной навигации больших групп агентов ORCA средствами функционально-воксельного метода, а также случай построения области допустимых скоростей для предотвращения столкновений для двух мобильных роботов. На основе графических образ-моделей разработан подход к построению области допустимых скоростей роботов на плоскости.

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Geometric Aspects of the Functional-Voxel Implementation of the ORCA Algorithm

Tolok

Sycheva

2021

Proceedings of the 31th International Conference on Computer Graphics and Vision. Volume 2

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The problem of avoiding a collision between moving agents constantly arises in multi-agent systems with decentralized control. The various algorithms for solving this problem are accompanied by computational complexity and increasing computational power requirements as the number of agents in question increases. There are difficulties in adapting these algorithms to practical applications on mobile platforms. It is necessary to develop simpler computational schemes and to apply appropriate models. The most computationally expensive step in the classical collision avoidance algorithm ORCA is to calculate the mutual half-planes of possible collision for each pair of robots and use linear programming to calculate the new velocity from them. The application of the functional-voxel method will simplify the necessary calculations by storing in graphical images the local geometric characteristics of the searched domain. Moreover, the application of such models will make it possible to perform most of the necessary calculations in advance, which will accelerate the work of the algorithm. This paper proposes the construction of a functional-voxel model of a required geometric domain by interpolating the contour of the domain using Bezier curves. The local geometric modelling by means of local zeroing function is used as a tool for functional-voxel curve modelling. The obtained functional-voxel model represents a static case of possible mutual positioning of two agents. A four-dimensional graphical model is proposed to solve the dynamic case. This model performs the distribution of the static case modelling results in the space-time characteristics.

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Geometric Aspects of the Functional-Voxel Implementation of the ORCA Algorithm

Tolok

Sycheva

2021

Proceedings of the 31th International Conference on Computer Graphics and Vision. Volume 2

View full text Add to dashboard Cite

show abstract

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Моделирование Алгоритмов Управления Группами Мобильных Роботов Средствами Функционально-Воксельного Метода

Cited by 1 publication

References 0 publications

Geometric Aspects of the Functional-Voxel Implementation of the ORCA Algorithm

Geometric Aspects of the Functional-Voxel Implementation of the ORCA Algorithm

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