Adaptive finite-time control of nonlinear systems with parametric uncertainty

被引：428

作者：

Hong, YG ^{[1
]}

Wang, JK ^{[1
]}

Cheng, DZ ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2006年 / 51卷 / 05期

关键词：

D O I：

10.1109/TAC.2006.875006

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 note, global finite time stabilization is investigated for a class of nonlinear systems in p normal form with parametric uncertainties. To achieve finite-time stabilization, a constructive control design approach is proposed by following backstepping methodology, and an adaptive finite-time control law is obtained in the form of continuous time-invariant feedback.

引用

页码：858 / 862

页数：5

共 11 条

[1]

BECKENBACH E, 1971, INEQUALITIES

[2] 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

[3] On p-normal forms of nonlinear systems [J].

Cheng, DZ ;

Lin, W .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (07) :1242-1248

[4] Non-singular terminal sliding mode control of rigid manipulators [J].

Feng, Y ;

Yu, XH ;

Man, ZH .

AUTOMATICA, 2002, 38 (12) :2159-2167

[5] Finite-time stabilization and stabilizability of a class of controllable systems [J].

Hong, YG .

SYSTEMS & CONTROL LETTERS, 2002, 46 (04) :231-236

[6] Global finite-time stabilization of a class of uncertain nonlinear systems [J].

Huang, XQ ;

Lin, W ;

Yang, B .

AUTOMATICA, 2005, 41 (05) :881-888

[7]

Kristic M., 1995, Nonlinear and Adaptive Control Design

[8] Adaptive control of nonlinearly parameterized systems: A nonsmooth feedback framework [J].

Lin, W ;

Qian, CJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (05) :757-774

[9] FINITE TIME STABILITY AND ROBUST CONTROL SYNTHESIS OF UNCERTAIN SWITCHED SYSTEMS [J].

Orlov, Y. .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 43 (04) :1253-1271

[10] Model reference adaptive control systems with terminal sliding modes [J].

Yu, XH ;

Man, ZH .

INTERNATIONAL JOURNAL OF CONTROL, 1996, 64 (06) :1165-1176

← 1 2 →