论文标题
基于IQC的分析和估计器设计，用于受冲动不确定性影响的离散时间系统
IQC Based Analysis and Estimator Design for Discrete-Time Systems Affected by Impulsive Uncertainties
论文作者
论文摘要
我们提出了基于将这些系统视为与冲动操作员的一些非冲动线性系统的反馈互连的线性离散时间冲动系统的新型二次性能测试。为了系统地分析此类互连，我们采用了整体二次约束的框架，并提出了这种新颖的约束，以捕获所涉及的冲动操作员的行为。作为一个主要好处，该框架的模块化允许无缝扩展以直接的方式受到异质不确定性影响的互连。这与基于通过时钟捕获系统的冲动行为的替代方法形成对比。在开发的分析标准的基础上，我们表征了这种冲动性互连的非冲动性估计器，以无损的方式和线性矩阵不平等。最后，通过几个数值示例来说明我们的方法。
We propose novel quadratic performance tests for linear discrete-time impulsive systems based on viewing these systems as feedback interconnections of some non-impulsive linear system with an impulsive operator. In order to systematically analyze such interconnections, we employ the framework of integral quadratic constraints and propose novel constraints of this kind for capturing the behavior of the involved impulsive operator. As a major benefit, the modularity of this framework permits seamless extensions to interconnections affected by heterogeneous uncertainties in a straightforward fashion. This contrasts with alternative approaches which are based on capturing the system's impulsive behavior by means of a clock. Building upon the developed analysis criteria, we characterize the existence of non-impulsive estimators for such impulsive interconnections in a lossless fashion and in terms of linear matrix inequalities. Finally, our approach is illustrated by means of several numerical examples.
