A non-quadratic criterion for stability of forced oscillations

被引：16
|
作者：
Pogromsky, A. Y. [1 ,2 ]
Matveev, A. S. [2 ]
机构：
[1] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands
[2] St Petersburg Univ, Dept Math & Mech, St Petersburg, Russia
来源：
SYSTEMS & CONTROL LETTERS | 2013年 / 62卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
Continuous-time nonlinear systems; Time-varying systems; Lyapunov stability; Incremental stability; Convergent systems;
D O I：
10.1016/j.sysconle.2013.02.002
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 new test for stability of forced oscillations in nonlinear systems is proposed. The result is illustrated by an example of a saturated PI-control of an integrator with a harmonic reference signal. The range of frequencies and amplitudes that guarantee stability of the corresponding oscillations is found. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：408 / 412
页数：5
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