Nonlinear active noise control using Lyapunov theory and RBF network

Seng Kah Phooi*, Man Zhihong, H. R. Wu

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

4 Citations (Scopus)


A new approach in design an efficient algorithm for ANC system is proposed. The transversal filter-based controllers (FIR and IIR) are first considered. A Lyapunov function of the error is first defined and filter coefficients are then adaptively adjusted based on Lyapunov stability theory so that the error converges to zero asymptotically. The design is independent of the statistic properties of signals and its computation complexity is comparable to FXLMS. It has fast error convergence properties and the stability is guaranteed by Lyapunov stability theory. This scheme can be further extended to an efficient nonlinear ANC using RBF network for excellent performance. Simulation examples are demonstrated to show the degree of noise cancellation this scheme can achieve.

Original languageEnglish
Number of pages10
Publication statusPublished - 2000
Externally publishedYes
Event10th IEEE Workshop on Neural Network for Signal Processing (NNSP2000) - Sydney, Australia
Duration: 11 Dec 200013 Dec 2000


Conference10th IEEE Workshop on Neural Network for Signal Processing (NNSP2000)
CitySydney, Australia

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