Phase synchronization control of complex networks of Lagrangian systems on adaptive digraphs
Phase synchronization control of complex networks of Lagrangian systems on adaptive digraphs
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DOI：
10.1016/j.automatica.2013.01.048
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发表时间：
2013-05
期刊：
影响因子：
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通讯作者：
Soon-Jo Chung;Saptarshi Bandyopadhyay;I. Chang;F. Hadaegh
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文献类型：
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作者：
Soon-Jo Chung;Saptarshi Bandyopadhyay;I. Chang;F. Hadaegh
针对一类由大量高度非线性Euler-Lagrange（EL）系统组成的复杂动态网络，提出了一种基于自适应网络拓扑的编队控制与同步方法.由自适应图拉普拉斯矩阵构造的时变和切换网络拓扑放宽了一致性稳定性的标准要求，甚至允许在不平衡有向图或偶尔失去连通性的弱连通有向图上进行指数同步。时变图拉普拉斯矩阵是适应的自适应控制方案的基础上的相对位置和同步和跟踪的误差。自适应图拉普拉斯算子集成了一个相位同步控制器，该控制器能够控制在椭圆轨道上运动的EL系统的相对运动，从而在有界扰动和建模误差的存在下，产生比解耦跟踪控制律更小的同步误差。通过对数百颗近地轨道航天器的重构实例，验证了所提出的相位同步控制器对大量在周期椭圆轨道上运动的复杂电致发光系统的有效性。
This paper presents a formation control and synchronization method that utilizes adaptive network topologies for a class of complex dynamical networks comprised of a large number of highly-nonlinear Euler–Lagrange (EL) systems. A time-varying and switching network topology, constructed by the adaptive graph Laplacian matrix, relaxes the standard requirement of consensus stability, even permitting exponential synchronization on an unbalanced digraph or a weakly connected digraph that can sporadically lose connectivity. The time-varying graph Laplacian matrix is adapted by an adaptive control scheme based on relative positions and errors of synchronization and tracking. The adaptive graph Laplacian is integrated with a phase synchronization controller that synchronizes the relative motions of EL systems moving in elliptical orbits, thereby yielding a smaller synchronization error than an uncoupled tracking control law in the presence of bounded disturbances and modeling errors. An example of reconfiguring hundreds of spacecraft in Low Earth Orbit shows the effectiveness of the proposed phase synchronization controller for a large number of complex EL systems moving in periodic elliptical orbits.