论文标题
具有随时间变化网络的连续时间线性系统的分布式观察者
A Distributed Observer for a Continuous-Time Linear System with time-varying network
论文作者
论文摘要
描述了一个简单的结构化分布观察者，用于估计连续时间，可观察到的无输入，线性系统的状态，其感应的输出分布在时间变化的网络上。它解释了如何在观察者中设计一个增益$ g $，以使他们的状态估计错误都以固定的但任意选择的速率在固定的速率上呈指数级的快速收敛至零。当网络的图分别根据停留时间或平均停留时间的开关信号切换时，提供了$ G $的线性不等式。当选择网络图的随机矩阵在任意切换信号下选择双随机性时，也已经显示出$ g $的存在。这是通过利用不变系统不变子空间的几种众所周知的属性来实现的。
A simply structured distributed observer is described for estimating the state of a continuous-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to design a gain $g$ in the observer so that their state estimation errors all converge exponentially fast to zero at a fixed, but arbitrarily chosen rate provided the network's graph is strongly connected for all time. A linear inequality for $g$ is provided when the network's graph is switching according to a switching signal with a dwell time or an average dwell time, respectively. It has also been shown the existence of $g$ when the stochastic matrix of the network's graph is chosen to be doubly stochastic under arbitrarily switching signals. This is accomplished by exploiting several well-known properties of invariant subspaces and properties of perturbed systems.
