On Stability of Systems With Aperiodic Sampling Devices
On Stability of Systems With Aperiodic Sampling Devices
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DOI：
10.1109/tac.2013.2246491
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发表时间：
2013-08-01
影响因子：
6.8
通讯作者：
Fujioka, Hisaya
中科院分区：
文献类型：
--
作者：
Kao, Chung-Yao;Fujioka, Hisaya
本技术说明涉及非周期采样数据系统的稳定性分析。稳定性问题是从一个纯粹的离散时间的角度来看，在采样行为的系统建模为一个标称的离散时间LTI系统的反馈互连与结构化的不确定性的响应。确定了不确定性为正真实的（PR）的条件。基于PR性质，导出了一系列积分二次约束（IQC），并应用IQC理论导出了稳定性条件。数值例子说明了所提出的方法的有效性。
This technical note is concerned with stability analysis of aperiodic sampled-data systems. The stability problem is tackled from a pure discrete-time point of view, where the at-sampling behavior of the system is modelled as the response of a nominal discrete-time LTI system in feedback interconnection with a structured uncertainty. Conditions under which the uncertainty is positive real (PR) are identified. Based on the PR property, a number of integral quadratic constraints (IQC) are derived and the IQC theory is applied to derive stability conditions. Numerical examples are given to illustrate the effectiveness of the proposed approach.