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.

中文翻译：

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具有任意互连拓扑的网络系统本地控制器的分布式综合


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耗散性。我们要求控制综合在子系统级别本地进行，而无需明确了解网络中其他子系统的动态。我们分两步解决这个问题。首先，我们提供了分布式子系统级耗散性分析条件，其可行性足以保证网络系统的耗散性。然后，我们使用这些条件在子系统级别本地合成控制器，仅使用该子系统的动力学知识以及有关其动态耦合的子系统耗散性的有限信息。我们证明以这种方式合成的子系统级控制器足以保证网络动力系统的耗散性。我们还提供了一种使这种合成组合的方法，即，当将新子系统添加到现有网络时，仅显示新子系统的动态以及有关其耦合的现有网络中子系统耗散性的信息用于设计新子系统的控制器，同时保证包括新子系统的网络系统的耗散性。最后，我们通过将我们的结果扩展到网络交换系统，展示了这种综合在实现微电网中发电机的即插即用操作中的应用。