Stability analysis of a noise control system in a duct by using delay differential equation

被引：4

作者：

Haraguchi, Masakazu ^{[1
]}

Hu, Hai Yan ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, MOE Key Lab Struct Mech & Control Aircraft, Nanjing 210016, Peoples R China

来源：

ACTA MECHANICA SINICA | 2009年 / 25卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Stability analysis; Delay differential equation; Closed-loop stability; Noise control; Acoustic system; FEEDBACK-CONTROL; ROBUSTNESS;

D O I：

10.1007/s10409-008-0196-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The paper deals with the criteria for the closed-loop stability of a noise control system in a duct. To study the stability of the system, the model of delay differential equation is derived from the propagation of acoustic wave governed by a partial differential equation of hyperbolic type. Then, a simple feedback controller is designed, and its closed-loop stability is analyzed on the basis of the derived model of delay differential equation. The obtained criteria reveal the influence of the controller gain and the positions of a sensor and an actuator on the closed-loop stability. Finally, numerical simulations are presented to support the theoretical results.

引用

页码：131 / 137

页数：7

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