Global finite-time stabilization of a class of uncertain nonlinear systems

被引：1291

作者：

Huang, XQ ^{[1
]}

Lin, W ^{[1
]}

Yang, B ^{[1
]}

机构：

[1] Case Western Reserve Univ, Dept Elect Engn & Comp Sci, Cleveland, OH 44106 USA

来源：

AUTOMATICA | 2005年 / 41卷 / 05期

基金：

美国国家科学基金会; 日本学术振兴会;

关键词：

global stabilization; finite-time convergence; Holder continuous state feedback; Lyapunov stability; uncertain nonlinear systems;

D O I：

10.1016/j.automatica.2004.11.036

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 [计算机科学与技术];

摘要：

This paper studies the problem of finite-time stabilization for nonlinear systems. We prove that global finite-time stabilizability of uncertain nonlinear systems that are dominated by a lower-triangular system can be achieved by Holder continuous state feedback. The proof is based on the finite-time Lyapunov stability theorem and the nonsmooth feedback design method developed recently for the control of inherently nonlinear systems that cannot be dealt with by any smooth feedback. A recursive design algorithm is developed for the construction of a Holder continuous, global finite-time stabilizer as well as a C(1) positive definite and proper Lyapunov function that guarantees finite-time stability. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：881 / 888

页数：8

共 19 条

[1]

Athans M., 1966, Optimal control: An introduction to the theory and its applications

[2]

Bacciotti A., 1992, Local Stabilizability of Nonlinear Control Systems

[3]

Continuous finite-time stabilization of the translational and rotational double integrators [J].

Bhat, SP ;

Bernstein, DS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) :678-682

[4]

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

Bhat, SP ;

Bernstein, DS .

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

[5]

Bhat SP, 1997, P AMER CONTR CONF, P2513, DOI 10.1109/ACC.1997.609245

[6]

ADDING AN INTEGRATOR FOR THE STABILIZATION PROBLEM [J].

CORON, JM ;

PRALY, L .

SYSTEMS & CONTROL LETTERS, 1991, 17 (02) :89-104

[7]

Dayawansa W.P., 1992, PROC 2 IFAC S NONLIN, P1

[8]

ASYMPTOTIC STABILIZATION OF A CLASS OF SMOOTH 2-DIMENSIONAL SYSTEMS [J].

DAYAWANSA, WP ;

MARTIN, CF ;

KNOWLES, G .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1990, 28 (06) :1321-1349

[9]

Freeman R. A., 1996, Robust Nonlinear Control Design: State-space and Lyapunov Techniques

[10]

FINITE-TIME CONTROLLERS [J].

HAIMO, VT .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (04) :760-770

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