Discrete and Intersample Analysis of Systems With Aperiodic Sampling

被引：59

作者：

Hetel, Laurentiu ^{[1
]}

Kruszewski, Alexandre ^{[1
]}

Perruquetti, Wilfrid ^{[1
,2
]}

Richard, Jean-Pierre ^{[1
,2
]}

机构：

[1] Ecole Cent Lille, CNRS LAGIS, F-59651 Villeneuve Dascq, France

[2] Project Non A, INRIA, Lille, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 07期

关键词：

Aperiodic sampled-data control; difference inclusions; quasi-quadratic functions; stability; LINEAR-SYSTEMS; STABILIZATION; STABILITY; CRITERIA; DELAY;

D O I：

10.1109/TAC.2011.2122690

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article addresses the stability analysis of linear time invariant systems with aperiodic sampled-data control. Adopting a difference inclusion formalism, we show that necessary and sufficient stability conditions are given by the existence of discrete-time quasi-quadratic Lyapunov functions. A constructive method for computing such functions is provided from the approximation of the necessary and sufficient conditions. In practice, this leads to sufficient stability criteria under LMI form. The inter-sampling behavior is discussed there: based on differential inclusions, we provide continuous-time methods that use the advantages of the discrete-time approach. The results are illustrated by numerical examples that indicate the improvement with regard to the existing literature.

引用

页码：1696 / 1701

页数：6

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