IQC Analysis of Uncertain LTV Systems with Rational Dependence on Time
IQC Analysis of Uncertain LTV Systems with Rational Dependence on Time
复制标题
具有合理时间依赖性的不确定 LTV 系统的 IQC 分析
DOI：
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发表时间：
2018
期刊：
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通讯作者：
P. Seiler
中科院分区：
文献类型：
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作者：
P. Seiler
本文的目的是评估一个不确定的线性时变（LTV）系统的鲁棒性在有限的时间范围内。将不确定系统建模为已知LTV系统和扰动的连接。假设LTV系统的状态矩阵是时间的有理函数。这是用来模拟不确定的LTV系统作为一个连接的时不变系统和一个增广扰动，包括时间。扰动的输入/输出行为由时域积分二次约束（IQCs）描述。静态和动态IQC被开发用于乘以时间。利用耗散不等式和IQC给出了诱导增益L2有界的充分条件.用两个简单的例子证明了这种方法。
The goal of this paper is to assess the robustness of an uncertain linear time-varying (LTV) system on a finite time horizon. The uncertain system is modeled as a connection of a known LTV system and a perturbation. The state matrices of the LTV system are assumed to be rational functions of time. This is used to model the uncertain LTV system as an connection of a time invariant system and an augmented perturbation that includes time. The input/output behavior of the perturbation is described by time-domain, integral quadratic constraints (IQCs). Static and dynamic IQCs are developed for the multiplication by time. A sufficient condition to bound the induced $L_{2}$ gain is formulated using dissipation inequalities and IQCs. The approach is demonstrated with two simple examples.