This paper studies the distributed consensus-based estimation and control of large-scale systems under gossip communication protocol. Novel observers which combine local Luenberger-like observers with consensus-based strategies are proposed. Based on Lyapunov stability theory, sufficient conditions in the form of matrix inequalities are established such that the considered system is exponentially mean-square stable with a prescribed ${\mathcal{L}}_2$-gain. The observer and controller gains can be obtained efficiently by the proposed numerical algorithm. Finally, the effectiveness of the theoretical results is illustrated by a numerical example.

中文翻译：

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八卦通信协议下基于分布式共识的大型系统估计与控制

本文研究了八卦通信协议下基于分布式共识的大型系统的估计和控制。提出了将本地Luenberger型观察员与基于共识的策略相结合的新型观察员。基于Lyapunov稳定性理论，建立了矩阵不等式形式的充分条件，以使所考虑的系统在规定的条件下呈指数均方稳定${\mathcal{大号}}_2$-获得。所提出的数值算法可以有效地获得观测器和控制器的增益。最后，通过算例说明了理论结果的有效性。