纸在管为一个噪音控制系统的靠近环的稳定性处理标准。学习系统的稳定性,延期的模型微分方程从夸张类型的一个部分微分方程管理的声学的波浪的繁殖被导出。然后,一个简单反馈控制器被设计,并且它的靠近环的稳定性根据延期的导出的模型被分析微分方程。获得的标准在靠近环的稳定性上揭示控制器获得的影响和一个传感器和一个致动器的位置。最后,数字模拟被介绍支持理论结果。
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.