论文标题
使用积分二次约束的强大峰值峰值增益分析
Robust peak-to-peak gain analysis using integral quadratic constraints
论文作者
论文摘要
这项工作提供了一个框架，以使用积分二次约束（IQC）（IQC）来计算稳健的峰值峰值峰值增益上的上限。此类界限在可达集合和$ \ ell_1 $ norm的计算中特别感兴趣，以及当需要及时逐点满足安全性 - 关键约束时。例如，使用$ρ$ -HARD IQC具有终端成本，使我们能够处理各种不确定性类别，例如，我们提供$ρ$ -HARD IQC，并为参数不确定性类别提供终端成本。这种方法统一，概括并显着改善了最新方法，这在数值示例中也得到了证明。
This work provides a framework to compute an upper bound on the robust peak-to-peak gain of discrete-time uncertain linear systems using integral quadratic constraints (IQCs). Such bounds are of particular interest in the computation of reachable sets and the $\ell_1$-norm, as well as when safety-critical constraints need to be satisfied pointwise in time. The use of $ρ$-hard IQCs with a terminal cost enables us to deal with a wide variety of uncertainty classes, for example, we provide $ρ$-hard IQCs with a terminal cost for the class of parametric uncertainties. This approach unifies, generalizes, and significantly improves state-of-the-art methods, which is also demonstrated in a numerical example.
