论文标题
强大的基于事件的控制：桥梁时域触发和频域不确定性
Robust Event-Based Control: Bridge Time-Domain Triggering and Frequency-Domain Uncertainties
论文作者
论文摘要
本文考虑了事件触发的通用线性系统的鲁棒性，以防止添加或乘法频域的不确定性。据透露，在静态或动态事件触发机制中，采样误差是作用于采样输出的仿射运算符的图像。尽管不属于$ \ MATHCAL {RH} _ \ infty $，但这些运算符是有限的获得$ \ Mathcal {l} _2 $稳定的，并且取决于触发条件和不确定性的规范界限。该表征进一步扩展到基于一般的二次约束（IQC）的触发机制。 As long as the triggering condition characterizes an $\mathcal{L}_2$-to-$\mathcal{L}_2$ mapping relationship (in other words, small-gain-type constraints) between the sampled outputs and the sampling errors, the robust event-triggered controller design problem can be transformed into the standard $H_\infty$ synthesis problem of a linear system having the same order作为受控植物。提供算法是为了构建静态，动态和基于IQC的事件触发情况的鲁棒控制器。
This paper considers the robustness of event-triggered control of general linear systems against additive or multiplicative frequency-domain uncertainties. It is revealed that in static or dynamic event triggering mechanisms, the sampling errors are images of affine operators acting on the sampled outputs. Though not belonging to $\mathcal{RH}_\infty$, these operators are finite-gain $\mathcal{L}_2$ stable with operator-norm depending on the triggering conditions and the norm bound of the uncertainties. This characterization is further extended to the general integral quadratic constraint (IQC)-based triggering mechanism. As long as the triggering condition characterizes an $\mathcal{L}_2$-to-$\mathcal{L}_2$ mapping relationship (in other words, small-gain-type constraints) between the sampled outputs and the sampling errors, the robust event-triggered controller design problem can be transformed into the standard $H_\infty$ synthesis problem of a linear system having the same order as the controlled plant. Algorithms are provided to construct the robust controllers for the static, dynamic and IQC-based event triggering cases.
