Low-gain adaptive stabilization of infinite-dimensional second-order systems

被引：11

作者：

Kobayashi, T ^{[1
]}

机构：

[1] Kyushu Inst Technol, Dept Mech & Control Engn, Fac Engn, Kitakyushu, Fukuoka 8048550, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 275卷 / 02期

关键词：

low-gain adaptive stabilization; undamped second-order dynamical systems; energy-like functions; multiplier functions;

D O I：

10.1016/S0022-247X(02)00433-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, low-gain adaptive stabilization of infinite-dimensional undamped second-order systems is considered in the case where the input and output operators are collocated. The systems have an infinite number of poles and zeros on the imaginary axis. The adaptive stabilizer is constructed by a low-gain adaptive PI controller (proportional plus integral controller). An energy-like function and a multiplier function are introduced and low-gain adaptive stabilization of the linear second-order systems is analyzed. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：835 / 849

页数：15

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