On Feedback Capability in a Class of Nonlinearly Parameterized Uncertain Systems

被引：14
|
作者：
Li, Chanying [1 ]
Guo, Lei [2 ]
机构：
[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[2] Chinese Acad Sci, AMSS, Key Lab Syst & Control, Inst Syst Sci, Beijing 100190, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Feedback capability; global stabilization; nonlinear systems; parameterized uncertainty; ADAPTIVE-CONTROL; AUTOREGRESSIVE MODELS; STABILITY;
D O I：
10.1109/TAC.2011.2160599
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 technical note, we will investigate the maximum capability and limitations of the feedback mechanism in globally stabilizing a basic class of discrete-time nonlinearly parameterized dynamical systems with multiple unknown parameters. Both "possibility" and "impossibility" theorems together with a fairly complete characterization on the capability of feedback will be presented. It will be seen that to characterize the feedback capability, the growth rates of the sensitivity functions of the nonlinear dynamics with respect to the uncertain parameters play a crucial role, and a suitable decomposition of the family of the nonlinearly parameterized functions in question turns out to be necessary.
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页码：2944 / 2950
页数：7
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