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Distributed Synthesis of Local Controllers for Networked Systems With Arbitrary Interconnection Topologies

机译:任意互连拓扑的网络系统本地控制器的分布式综合

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We consider the problem of designing distributed controllers to guarantee dissipativity of a networked system comprised of dynamically coupled subsystems. We require that the control synthesis is carried out locally at the subsystem-level, without explicit knowledge of the dynamics of other subsystems in the network. We solve this problem in two steps. First, we provide distributed subsystem-level dissipativity analysis conditions whose feasibility is sufficient to guarantee dissipativity of the networked system. We then use these conditions to synthesize controllers locally at the subsystem-level, using only the knowledge of the dynamics of that subsystem, and limited information about the dissipativity of the subsystems to which it is dynamically coupled. We show that the subsystem-level controllers synthesized in this manner are sufficient to guarantee dissipativity of the networked dynamical system. We also provide an approach to make this synthesis compositional, that is, when a new subsystem is added to an existing network, only the dynamics of the new subsystem, and information about the dissipativity of the subsystems in the existing network to which it is coupled are used to design a controller for the new subsystem, while guaranteeing dissipativity of the networked system including the new subsystem. Finally, we demonstrate the application of this synthesis in enabling plug-and-play operations of generators in a microgrid by extending our results to networked switched systems.
机译:我们考虑设计分布式控制器的问题,以保证由动态耦合子系统组成的网络系统的消耗。我们要求控制综合在子系统级别本地进行,而不明确地了解网络中其他子系统的动态。我们在两个步骤中解决了这个问题。首先,我们提供分布式子系统级散热分析条件,其可行性足以保证网络系统的消耗。然后,我们使用这些条件在子系统级别在本地综合控制器,仅使用该子系统的动态的知识,以及关于它动态耦合的子系统的耗散性的有限信息。我们表明以这种方式合成的子系统级控制器足以保证网络动态系统的消耗。我们还提供了一种方法来制作这种合成组成,即当新子系统被添加到现有网络时,只有新子系统的动态,以及关于它所耦合的现有网络中子系统的耗散性的信息用于为新子系统设计一个控制器,同时保证包括新子系统在内的网络系统的耗散性。最后,我们通过将结果扩展到网络交换系统,展示了这种合成在使MicroGrid中的即插即用操作的应用。

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