Robust finite-time output feedback stabilisation of the double integrator

被引：52

作者：

Bernuau, Emmanuel ^{[1
]}

Perruquetti, Wilfrid ^{[1
,2
]}

Efimov, Denis ^{[2
,4
]}

Moulay, Emmanuel ^{[3
]}

机构：

[1] Ecole Cent Lille, LAGIS UMR 8219, F-59651 Villeneuve Dascq, France

[2] INRIA Lille Nord Europe, Non A Project, F-59650 Villeneuve Dascq, France

[3] UMR CNRS 7252, Dept XLIM SIC, F-86962 Futuroscope, France

[4] Univ ITMO, Dept Control Syst & Informat, St Petersburg 197101, Russia

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2015年 / 88卷 / 03期

关键词：

input-to-state stability; output control; finite-time stability; double integrator; NONLINEAR-SYSTEMS; STABILITY; HOMOGENEITY; OBSERVERS;

D O I：

10.1080/00207179.2014.956340

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of finite-time output stabilisation of the double integrator is addressed applying the homogeneity approach. A homogeneous controller and a homogeneous observer are designed (for different degrees of homogeneity) ensuring the finite-time stabilisation. Their combination under mild conditions is shown to stay homogeneous and finite-time stable as well. Robustness and effects of discretisation on the closed-loop system obtained are analysed. The efficiency of the solution obtained is demonstrated in computer simulations.

引用

页码：451 / 460

页数：10

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