A scaled feedback stabilization of power integrator triangular systems

被引：18

作者：

Dacic, DB ^{[1
]}

Kokotovic, PV ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Ctr Control Engn & Computat, Santa Barbara, CA 93106 USA

来源：

SYSTEMS & CONTROL LETTERS | 2005年 / 54卷 / 07期

基金：

美国国家科学基金会;

关键词：

triangular systems; time-varying feedback laws; differentiable feedback laws; uncontrollable linearization; backstepping;

D O I：

10.1016/j.sysconle.2004.11.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Using unbounded time-varying scaling of the states we design Cl feedback laws for power integrator triangular systems which globally asymptotically stabilize (GAS) the origin despite the uncontrollability of the linearization. With bounded scaling the feedback laws achieve global practical stability (GPS). For a trade-off between GAS/GPS of the origin and unboundedness/boundedness of the scaling we construct a dynamic version of these feedback laws. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：645 / 653

页数：9

共 17 条

[1] [Anonymous], [No title captured]
[2] Constructive nonsmooth stabilization of triangular systems
Celikovsky, S
Aranda-Bricaire, E
[J]. SYSTEMS & CONTROL LETTERS, 1999, 36 (01) : 21 - 37
[3] ADDING AN INTEGRATOR FOR THE STABILIZATION PROBLEM
CORON, JM
PRALY, L
[J]. SYSTEMS & CONTROL LETTERS, 1991, 17 (02) : 89 - 104
[4] DACIC DB, FACTORIZATION APPROA
[5] Isidori A., 1995, NONLINEAR CONTROL SY, VII
[6] Non-uniform stabilization of control systems
Karafyllis, Iasson
[J]. IMA Journal of Mathematical Control and Information, 2002, 19 (04) : 419 - 444
[7] Kristic M., 1995, Nonlinear and Adaptive Control Design
[8] Adaptive regulation of high-order lower-triangular systems: an adding a power integrator technique
Lin, W
Qian, CJ
[J]. SYSTEMS & CONTROL LETTERS, 2000, 39 (05) : 353 - 364
[9] Adding one power integrator: a tool for global stabilization of high-order lower-biangular systems
Lin, W
Qian, CJ
[J]. SYSTEMS & CONTROL LETTERS, 2000, 39 (05) : 339 - 351
[10] Adaptive control of nonlinearly parameterized systems: The smooth feedback case
Lin, W
Qian, CJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (08) : 1249 - 1266

← 1 2 →