文章基本信息

标题：A Variational Integrator for the distance-based formation control of multi-agent systems ⁎
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作者：Leonardo J. Colombo ; Hector Garcia de Marina
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：23
页码：76-81
DOI：10.1016/j.ifacol.2018.12.014
语种：English
出版社：Elsevier
摘要：AbstractDistance-based formation control of second order agents can be seen as a physical system of particles linked by springs, whose evolution can be described by a Lagrangian function. An interesting family of geometric integrators, called variational integrators, is defined by using discretizations of the Hamilton’s principle of critical action. The variational integrators preserve some geometric features such as the symplectic structure, they preserve the momentum map, and the evolution of the system’s energy presents a good (bounded) behavior. We derive variational integrators that can be employed in the context of distance-based formation control algorithms. In particular, we provide an accurate numerical integrator with a lower computational cost than traditional solutions. Consequently, we can provide a faster identification of regions of attraction for desired distance-based shapes, and more computationally efficient estimation algorithms like Kalman filters that employ distance-based controllers as prediction models. We use a formation consisting of four autonomous planar agents as an example and benchmark to test and compare the performances of the proposed variational integrator.
关键词：KeywordsFormation controlDistribute controlMulti-agent systemsVariational integratorsVariational principlesGeometric integration