Fundamental limitations of discrete-time adaptive nonlinear control

被引：40
|
作者：
Xie, LL [1 ]
Guo, L [1 ]
机构：
[1] Chinese Acad Sci, Inst syst Sci, Beijing 100080, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1999年 / 44卷 / 09期
关键词：
adaptive control; discrete-time; global stabilizability; nonlinear dynamics; stochastic systems;
D O I：
10.1109/9.788552
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A particular polynomial is introduced in this paper which can be used to determine under what conditions a typical class of discretetime nonlinear systems with uncertainties in both parameters and noises is not stabilizable by feedback, thus demonstrating the fundamental limitations of discrete-time adaptive nonlinear control. As a consequence, it is shown that for nonlinear systems with unknown parameters and noises, the systems may indeed be nonstabilizable, in general, whenever the usual linear growth condition is relaxed and the number of unknown parameters is large, even though the corresponding noise-free systems are globally stabilizable.
引用
收藏
页码：1777 / 1782
页数：6
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