论文标题
操作员理论方法，可通过频率域不确定性对网络系统进行强大的事件触发控制
An Operator-Theoretic Approach to Robust Event-Triggered Control of Network Systems with Frequency-Domain Uncertainties
论文作者
论文摘要
在本文中，我们研究了事件触发的共有算法对频域不确定性的鲁棒性。据透露，事件触发引起的采样错误本质上是线性有限的$ \ MATHCAL {L} _2 _2 $ - 稳定的操作员，该操作员以采样状态的共识错误作用，并且事件触发的机制等于额外的反馈回馈系统。因此，分别考虑了受到添加动态不确定性和网络乘法不确定性的强大共识问题。在这两种情况下，控制器的参数，网络拓扑的拉普拉斯矩阵以及针对Aperiodic事件触发的鲁棒性和频域不确定性的鲁棒性均已公布。此外，还研究了事件触发的动态平均共识（DAC）问题，其中采样误差被证明是非线性有限增益运算符的图像。分析了所提出的DAC算法的稳健性能，这表明稳健性和性能与Laplacian矩阵的特征性负相关。还提供了模拟示例以验证获得的结果。
In this paper, we study the robustness of the event-triggered consensus algorithms against frequency-domain uncertainties. It is revealed that the sampling errors resulted by event triggering are essentially images of linear finite-gain $\mathcal{L}_2$-stable operators acting on the consensus errors of the sampled states and the event-triggered mechanism is equivalent to a negative feedback loop introduced additionally to the feedback system. In virtue of this, the robust consensus problem of the event-triggered network systems subject to additive dynamic uncertainties and network multiplicative uncertainties are considered, respectively. In both cases, quantitative relationships among the parameters of the controllers, the Laplacian matrix of the network topology, and the robustness against aperiodic event triggering and frequency-domain uncertainties are unveiled. Furthermore, the event-triggered dynamic average consensus (DAC) problem is also investigated, wherein the sampling errors are shown to be images of nonlinear finite-gain operators. The robust performance of the proposed DAC algorithm is analyzed, which indicates that the robustness and the performance are negatively related to the eigenratio of the Laplacian matrix. Simulation examples are also provided to verify the obtained results.
