Finite-model adaptive control using WLS-like algorithm

被引:12
作者
Ma, Hongbin [1 ]
机构
[1] Natl Univ Singapore, Temasek Labs, Singapore 117508, Singapore
基金
中国国家自然科学基金;
关键词
finite-model adaptive control; WLS; feedback; nonlinear; stability; uncertainty;
D O I
10.1016/j.automatica.2006.10.017
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper concerns the adaptive control problem for a class of discrete-time nonlinear uncertain systems of which the internal uncertainty can be characterized by a finite set of functions. A WLS-like algorithm is used to design the feedback control law, which is tested to be effective and efficient in lots of simulations. It is proved that the closed-loop system is BIBO stable under weak conditions, and two counter-examples are constructed to show that the conditions proposed cannot be removed or weakened in general for this algorithm. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:677 / 684
页数:8
相关论文
共 21 条
[1]   Adaptive switching supervisory control of nonlinear systems with no prior knowledge of noise bounds [J].
Angeli, D ;
Mosca, E .
AUTOMATICA, 2004, 40 (03) :449-457
[2]   Adaptive control of continuous time systems with convex/concave parametrization [J].
Annaswamy, AM ;
Skantze, FP ;
Lohi, AP .
AUTOMATICA, 1998, 34 (01) :33-49
[3]   Adaptive control of a class of nonlinearly parameterized plants [J].
Boskovic, JD .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (07) :930-934
[4]   Adaptive linear quadratic gaussian control: The cost-biased approach revisited [J].
Campi, MC ;
Kumar, PR .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1998, 36 (06) :1890-1907
[5]   On critical stability of discrete-time adaptive nonlinear control [J].
Guo, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (11) :1488-1499
[6]  
GUO L, 2002, P ICM2002 BEIJ 2002
[7]  
LI CY, 2005, P 16 IFAC WORLD C JU
[8]   Basic problems in stability and design of switched systems [J].
Liberzon, D ;
Morse, AS .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70
[9]  
MA H, 2006, THESIS CHINESE ACAD
[10]  
MA H, 2007, IN PRESS INT J ADAPT