A POLYNOMIAL CRITERION FOR ADAPTIVE STABILIZABILITY OF DISCRETE-TIME NONLINEAR SYSTEMS

被引:4
作者
Li, Chanying [1 ]
Xie, Liang-Liang [1 ]
Guo, Lei [1 ]
机构
[1] Chinese Acad Sci, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China
关键词
Uncertain nonlinear systems; Adaptive control; Robust stability; Discrete-time systems; Feedback capability;
D O I
暂无
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 paper, we will investigate the maximum capability of adaptive feedback in stabilizing a basic class of discrete-time nonlinear systems with both multiple unknown parameters and bounded noises. We will present a complete proof of the polynomial criterion for feedback capability as stated in [12], by providing both the necessity and sufficiency analyzes of the stabizability condition, which is determined by the growth rates of the system nonlinear dynamics only.
引用
收藏
页码:273 / 297
页数:25
相关论文
共 13 条
[1]  
Astrom K., 1995, ADAPTIVE CONTROL
[2]  
Blondel V. D., 2004, UNSOLVED PROBLEMS MA
[3]  
CHEN H, 1991, IDENTIFICATION STOCH
[4]   On critical stability of discrete-time adaptive nonlinear control [J].
Guo, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (11) :1488-1499
[5]  
IOANNOU PA, 1996, ROBUST ADAPTIVE CONT
[6]   DISCRETE-TIME ADAPTIVE NONLINEAR-SYSTEM [J].
KANELLAKOPOULOS, I .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (11) :2362-2365
[7]  
Kristic M., 1995, NONLINEAR ADAPTIVE C
[8]  
LI C, 2005, 16 IFAC WORLD C PRAG
[9]   On robust stability of discrete-time adaptive nonlinear control [J].
Li, CY ;
Xie, LL .
SYSTEMS & CONTROL LETTERS, 2006, 55 (06) :452-458
[10]  
Mitrinovic D. S., 1970, ANAL INEQUALITIES