Parameter convergence and minimal internal model with an adaptive output regulation problem

被引：105

作者：

Liu, Lu ^{[1
]}

Chen, Zhiyong ^{[2
]}

Huang, Jie ^{[1
]}

机构：

[1] Chinese Univ Hong Kong, Dept Mech & Automat Engn, Shatin, Hong Kong, Peoples R China

[2] Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia

来源：

AUTOMATICA | 2009年 / 45卷 / 05期

关键词：

Adaptive control; Output regulation; Nonlinear systems; NONLINEAR-SYSTEMS;

D O I：

10.1016/j.automatica.2009.01.003

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 parameter convergence of nonlinear adaptive control systems is an important yet not well addressed issue. In this paper, using the global robust output regulation problem of output feedback systems with unknown exosystems as a platform, we will show that the well known persistency of excitation (PE) condition still guarantees the convergence of the estimated parameter vector to the true parameter vector. Moreover, the PE condition will be satisfied if the internal model is minimal in certain sense. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1306 / 1311

页数：6

共 20 条

[1] ON PARAMETER CONVERGENCE IN ADAPTIVE-CONTROL
BOYD, S
SASTRY, S
[J]. SYSTEMS & CONTROL LETTERS, 1983, 3 (06) : 311 - 319
[2] Global robust output regulation for output feedback systems
Chen, ZY
Huang, J
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (01) : 117 - 121
[3] Chen ZY, 2002, IEEE DECIS CONTR P, P3855
[4] Adaptive estimation and rejection of unknown sinusoidal disturbances in a class of non-minimum-phase nonlinear systems
Ding, Z.
[J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (04): : 379 - 386
[5] Global stabilization and disturbance suppression of a class of nonlinear systems with uncertain internal model
Ding, ZT
[J]. AUTOMATICA, 2003, 39 (03) : 471 - 479
[6] A general framework for tackling the output regulation problem
Huang, J
Chen, ZY
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (12) : 2203 - 2218
[7] Remarks on the robust output regulation problem for nonlinear systems
Huang, J
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (12) : 2028 - 2031
[8] Huang J., 2004, Nonlinear Output Regulation: Theory and Applications
[9] Invariant manifolds and asymptotic properties of adaptive nonlinear stabilizers
Krstic, M
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (06) : 817 - 829
[10] Adaptive neural-networks-based fault detection and diagnosis using unmeasured states
Liu, C. -S.
Zhang, S. -J.
Hu, S. -S.
[J]. IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (12) : 1066 - 1076

← 1 2 →