On Stabilizability of Nonlinearly Parameterized Discrete-Time Systems

被引：5
|
作者：
Li, Chanying [1 ]
Chen, Michael Z. Q. [2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2014年 / 59卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Adaptive control; discrete-time systems; nonlinear parametrization; sensitivity function; stabilizability; MODEL ADAPTIVE-CONTROL; STABILIZATION; STABILITY;
D O I：
10.1109/TAC.2014.2315879
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Most existing works on adaptive control of discrete-time systems focus on the case of linear parametrization. For nonlinearly parameterized systems, the stabilizability turns out to be an intractable issue. This technical note is devoted to seeking the essential factors that determine the stabilizability of nonlinearly parameterized discrete-time systems. A sufficient condition imposed on the structures of the system functions is established. Analysis shows that the sensitivity function of unknown parameters plays a crucial role in characterizing the uncertainties of parameterized systems. One of the implications of this result is that arbitrarily growing nonlinearities in the uncertain model may be allowed for global stabilization.
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页码：3014 / 3019
页数：6
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