Hammerstein Nonlinear Active Noise Control with the Filtered-Error LMS Algorithm

Journal title

Archives of Acoustics




vol. 38


No 2

Publication authors

Divisions of PAS

Nauki Techniczne


Archives of Acoustics is an English-language peer-reviewed quarterly journal publishing original research papers from all areas of acoustics and abstracts from some specialised acoustical conferences. It gives free internet access to its full content (abstracts of research papers) to current issues.

Archives of Acoustics, the peer-reviewed quarterly journal publishes original research papers from all areas of acoustics like:

  • acoustical measurements and instrumentation,
  • acoustics of musics,
  • acousto-optics,
  • architectural, building and environmental acoustics,
  • bioacoustics,
  • electroacoustics,
  • linear and nonlinear acoustics,
  • noise and vibration,
  • physical and chemical effects of sound,
  • physiological acoustics,
  • psychoacoustics,
  • quantum acoustics,
  • speech processing and communication systems,
  • speech production and perception,
  • transducers,
  • ultrasonics,
  • underwater acoustics.

Earlier issues are available on the old website


Abstract Active Noise Control (ANC) of noise transmitted through a vibrating plate causes many problems not observed in classical ANC using loudspeakers. They are mainly due to vibrations of a not ideally clamped plate and use of nonlinear actuators, like MFC patches. In case of noise transmission though a plate, nonlinerities exist in both primary and secondary paths. Existence of nonlinerities in the system may degrade performance of a linear feedforward control system usually used for ANC. The performance degradation is especially visible for simple deterministic noise, such as tonal noise, where very high reduction is expected. Linear feedforward systems in such cases are unable to cope with higher harmonics generated by the nonlinearities. Moreover, nonlinearities, if not properly tackled with, may cause divergence of an adaptive control system. In this paper a feedforward ANC system reducing sound transmitted through a vibrating plate is presented. The ANC system uses nonlinear control filters to suppress negative effects of nonlinearies in the system. Filtered-error LMS algorithm, found more suitable than usually used Filtered-reference LMS algorithm, is employed for updating parameters of the nonlinear filters. The control system is experimentally verified and obtained results are discussed.


Committee on Acoustics PAS, PAS Institute of Fundamental Technological Research, Polish Acoustical Society




eISSN 2300-262X ; ISSN 0137-5075