Finite-time and fixed-time observer design: Implicit Lyapunov function approach

被引：173

作者：

Lopez-Ramirez, Francisco ^{[1
]}

Polyakov, Andrey ^{[1
,2
]}

Efimov, Denis ^{[1
]}

Perruquetti, Wilfrid ^{[1
,2
]}

机构：

[1] Non A INRIA LNE, Parc Sci Haute Borne 40,Ave Halley Bat A,Pk Plaza, F-59650 Villeneuve Dascq, France

[2] Ecole Cent Lille, CNRS, CRIStAL, UMR 9189, BP 48,Cite Sci, F-59651 Villeneuve Dascq, France

来源：

AUTOMATICA | 2018年 / 87卷

关键词：

Finite-Time stability; Fixed-Time stability; Implicit Lyapunov function; Homogeneous systems; ROBUST; STABILITY; SYSTEMS; STABILIZATION; STATE; ISS;

D O I：

10.1016/j.automatica.2017.09.007

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 work deals with the problem of finite-time and fixed-time observation of linear multiple input multiple output (MIMO) control systems. The proposed nonlinear dynamic observers guarantee convergence of the observer states to the original system state in a finite and in a fixed (defined a priori) time. Algorithms for the observers parameters tuning are also provided and a robustness analysis against input disturbances and measurement noises is carried out. The theoretical results are illustrated by numerical examples that consider both noisy and noise-free measurements and a comparison with a high-gain observer is included. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：52 / 60

页数：9

共 40 条

[1] Soft variable-structure controls: a survey [J].

Adamy, J ;

Flemming, A .

AUTOMATICA, 2004, 40 (11) :1821-1844

[2] High gain observers with updated gain and homogeneous correction terms [J].

Andrieu, V. ;

Praly, L. ;

Astolfi, A. .

AUTOMATICA, 2009, 45 (02) :422-428

[3] Homogeneous approximation, recursive observer design, and output feedback [J].

Andrieu, Vincent ;

Praly, Laurent ;

Astolfi, Alessandro .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (04) :1814-1850

[4]

[Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides

[5] Finite time stabilization of a perturbed double integrator - Part II: Applications to Bipedal Locomotion [J].

Aoustin, Y. ;

Chevallereau, C. ;

Orlov, Y. .

49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, :3554-3559

[6]

Bacciotti A., 2005, Lyapunov Functions and Stability in Control Theory (Communications and Control Engineering)

[7] Verification of ISS, iISS and IOSS properties applying weighted homogeneity [J].

Bernuau, Emmanuel ;

Polyakov, Andrey ;

Efimov, Denis ;

Perruquetti, Wilfrid .

SYSTEMS & CONTROL LETTERS, 2013, 62 (12) :1159-1167

[8] Finite-time stability of continuous autonomous systems [J].

Bhat, SP ;

Bernstein, DS .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766

[9]

Boyd S., 1994, SIAM STUDIES APPL MA

[10]

Courant R., 2000, INTRO CALCULUS ANAL

← 1 2 3 4 →