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首页> 外文期刊>IEEE Transactions on Automatic Control >A Unifying Framework for Robust Synchronization of Heterogeneous Networks via Integral Quadratic Constraints
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A Unifying Framework for Robust Synchronization of Heterogeneous Networks via Integral Quadratic Constraints

机译：通过积分二次约束实现异构网络鲁棒同步的统一框架

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摘要

A general framework for analysing robust synchronization in large-scale heterogenous networks is proposed based on the theory of integral quadratic constraints (IQCs). Dynamic agents are represented as linear time-invariant single-input-single-output systems. The agents exchange information according to a sparse dynamical interconnection operator in order to achieve synchronization, where their outputs are steered to the same, possibly time-varying, signal. The main technical hindrance to applying IQCs in this context lies with the presence of the marginally stable dynamics which define the trajectory to which the agents' outputs synchronize. It is shown that by working with conditions defined on modified signal spaces of interest and exploiting the graph structure underlying the connections between the dynamic systems, IQC methods can be applied directly to synchronization analysis without recourse to loop transformations, which may obscure the inherent structural properties of the multi-agent networked systems. Decentralized and scalable conditions for synchronization are proposed within this setting. The IQC framework is demonstrated to unify and generalize some of the existing results in the literature, including certain Nyquist-type consensus certificates for time-delay systems. Moreover, it allows the role of feedback in robustness against uncertainty to be better manifested within the context of synchronization.
机译：基于积分二次约束（IQC）理论，提出了一种用于分析大规模异构网络中鲁棒同步的通用框架。动态代理表示为线性时不变单输入单输出系统。代理根据一个稀疏的动态互连算子交换信息，以实现同步，在同步过程中，它们的输出将转向相同的信号（可能随时间变化）。在这种情况下应用IQC的主要技术障碍在于边际稳定动力学的存在，该动力学定义了代理输出同步到的轨迹。结果表明，通过处理在感兴趣的已修改信号空间上定义的条件并利用动态系统之间连接之下的图结构，IQC方法可以直接应用于同步分析，而无需求助于回路转换，因为回路转换可能会掩盖固有的结构特性多主体网络系统。在此设置下提出了用于同步的分散和可扩展条件。证明了IQC框架可以统一和归纳文献中的一些现有结果，包括某些时滞系统的Nyquist型共识证书。此外，它可以使反馈在抵御不确定性的鲁棒性中的作用更好地体现在同步环境中。

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