A universal method for robust stabilization of nonlinear systems: Unification and extension of smooth and non-smooth approaches

被引：17

作者：

Polendo, Jason ^{[1
]}

Qian, Chunjiang ^{[1
]}

机构：

[1] Univ Texas, Dept Elect & Comp Engn, San Antonio, TX 78249 USA

来源：

2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12 | 2006年 / 1-12卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/ACC.2006.1657392

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 current literature on the stabilization of nonlinear systems, particularly those whose linearization about the origin may contain uncontrollable modes, essentially contains two distinct methods: a smooth controller scheme (only under strict assumptions) and a non-sinooth one. This paper introduces a more general setting under which: 1) unification of the two aforementioned schemes is achieved and 2) it is possible to find a continuously differentiable control law for some systems previously only stabilizable by a continuous controller. This new method is implicitly based on the ideas of homogeneous systems theory and the adding a power integrator technique.

引用

页码：4285 / 4290

页数：6

共 17 条

[1] ASYMPTOTIC STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].

BYRNES, CI ;

ISIDORI, A .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (10) :1122-1137

[2] Non-smooth feedback stabilizer for strict-feedback nonlinear systems not even linearizable at the origin [J].

Cheong, SG ;

Back, J ;

Shim, H ;

Seo, JH .

ACC: Proceedings of the 2005 American Control Conference, Vols 1-7, 2005, :1907-1912

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

Hong, YG .

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

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

Huang, XQ ;

Lin, W ;

Yang, B .

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

[5]

Isidori A, 1995, NONLINEAR CONTROL SY, V3, pB, DOI [10.1007/978-1-84628-615-5, DOI 10.1007/978-1-84628-615-5]

[6]

Isidori A., 1999, COMMUNICATIONS CONTR

[7] STABILIZATION OF NONLINEAR-SYSTEMS IN THE PLANE [J].

KAWSKI, M .

SYSTEMS & CONTROL LETTERS, 1989, 12 (02) :169-175

[8]

KAWSKI M, 1990, CONTR-THEOR ADV TECH, V6, P497

[9]

Kristic M., 1995, Nonlinear and Adaptive Control Design

[10]

Kurzweil J., 1956, AM MATH SOC TRANSL, V24, P19

← 1 2 →