This article presents a dissipativity approach for robustness analysis using the framework of integral quadratic constraints (IQCs). The derived results apply for linear time‐varying nominal systems with uncertain initial conditions. IQC multipliers are used to describe the sets of allowable uncertainty operators, and signal IQC multipliers are used to describe the sets of allowable disturbance signals. The novel concepts of dichotomic nodes and their corresponding factorizations are introduced, which allow for the aforementioned multipliers to be general time‐varying operators. The results are illustrated via the robustness analysis of a flight controller for an unmanned aircraft system tasked to perform a Split‐S maneuver.

中文翻译：

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带有时变乘数的积分二次约束的不确定时变系统的鲁棒性分析

本文提出了一种使用积分二次约束（IQC）框架进行鲁棒性分析的耗散方法。导出的结果适用于初始条件不确定的线性时变标称系统。IQC乘法器用于描述允许的不确定性算子集，信号IQC乘法器用于描述允许的干扰信号集。介绍了二分节点的新概念及其对应的因式分解，使上述乘数成为一般的时变运算符。通过对负责执行Split-S机动的无人机系统的飞行控制器的鲁棒性分析来说明结果。