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

• 来源期刊: 力学学报(英文版)
• 年，卷（期）: 2009,（1）
• 页码范围: 131-137
• 页数: 7页
• 语种: 英文
• DOI: 10.1007/s10409-008-0196-4

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 theoreti-cal results.