Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 131-137 |
| Number of pages | 7 |
| Journal | Acta Mechanica Sinica/Lixue Xuebao |
| Volume | 25 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 2009 |
| Externally published | Yes |
Keywords
- Acoustic system
- Closed-loop stability
- Delay differential equation
- Noise control
- Stability analysis