Finite-Time Stabilization of Linear Time-Varying Continuous Systems

被引：197

作者：

Garcia, Germain ^{[1
,2
]}

Tarbouriech, Sophie ^{[1
]}

Bernussou, Jacques ^{[1
]}

机构：

[1] Univ Toulouse, LAAS, CNRS, F-31077 Toulouse, France

[2] INSA, F-31077 Toulouse, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 02期

关键词：

Finite-time stability and stabilization; linear time-varying systems; Lyapunov differential equations; Lyapunov stability; PRACTICAL STABILITY;

D O I：

10.1109/TAC.2008.2008325

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this technical note, the problem of finite time stabilization of linear time-varying continuous systems is considered. Necessary and sufficient conditions, based upon the solution to some Lyapunov differential matrix equations, are proposed for particular cases of interest. From these conditions, the design of time-varying state feedback controller guaranteeing the finite time closed-loop stability is presented. Numerical experiments illustrate the potentialities of the approach.

引用

页码：364 / 369

页数：6

共 20 条

[1] Statistical learning methods in linear algebra and control problems: the example of finite-time control of uncertain linear systems [J].