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

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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.

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Authors and Affiliations

  1. MOE Key Laboratory of Structure Mechanics and Control for Aircraft, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China

    Masakazu Haraguchi & Hai Yan Hu

Authors
  1. Masakazu Haraguchi
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  2. Hai Yan Hu
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Correspondence to Masakazu Haraguchi.

Additional information

The project supported by the National Natural Science Foundation of China (10532050).

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Haraguchi, M., Hu, H.Y. Stability analysis of a noise control system in a duct by using delay differential equation. Acta Mech Sin 25, 131–137 (2009). https://doi.org/10.1007/s10409-008-0196-4

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  • DOI: https://doi.org/10.1007/s10409-008-0196-4

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