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Robust output synchronization of a network of heterogeneous nonlinear agents via nonlinear regulation theory

机译:基于非线性调节理论的异构非线性主体网络的鲁棒输出同步

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In this paper, we consider the output synchronization problem for a network of heterogeneous diffusively-coupled nonlinear agents. Specifically, we show how the (non-identical) agents can be controlled in such a way that their outputs asymptotically track the output of a prescribed nonlinear exosystem. The problem is solved in two steps. In the first step, the problem of achieving consensus among (identical) nonlinear reference generators is addressed. In this respect, it is shown how the techniques recently developed to solve the consensus problem among linear agents can be extended to agents modeled by nonlinear d-dimensional differential equations, under the assumption that the communication graph is connected. In the second step, the theory of nonlinear output regulation is applied in a decentralized control mode, to force the output of each agent of the network to robustly track the (synchronized) output of a local reference model.
机译:在本文中,我们考虑了异构扩散耦合非线性主体网络的输出同步问题。具体来说,我们展示了如何以这样的方式控制(不同)代理,以使它们的输出渐近跟踪指定的非线性外系统的输出。该问题分两个步骤解决。第一步,解决在(相同)非线性参考生成器之间达成共识的问题。在这方面,显示了在连通图连接的假设下,最近开发的用于解决线性代理之间的共识问题的技术如何可以扩展到通过非线性d维微分方程建模的代理。在第二步中,将非线性输出调节理论应用到分散控制模式中,以强制网络的每个代理的输出稳健地跟踪本地参考模型的(同步)输出。

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