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A new indirect adaptive algorithm for feedforward control with application to active noise cancellation
Author(s) -
Wang Angela Kuo,
Ren Wei
Publication year - 1995
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480090302
Subject(s) - feed forward , active noise control , dither , control theory (sociology) , algorithm , convergence (economics) , adaptive control , diophantine equation , noise (video) , adaptive algorithm , computer science , adaptive filter , transient (computer programming) , least mean squares filter , mathematics , control (management) , engineering , control engineering , noise reduction , bandwidth (computing) , artificial intelligence , computer network , discrete mathematics , economics , image (mathematics) , economic growth , operating system
This paper considers the deterministic adaptive feedforward control problem for disturbance rejection. A new indirect adaptive control algorithm is presented as an alternative to the well‐known ‘filtered‐X LMS’ algorithm when the disturbance is periodic with unknown frequency and the plant, possibly non‐minumum phase, is unknown. This new algorithm requires the solution of a Diophantine equation and a simple scheme to recursively solve this type of equation is suggested. the new algorithm is shown to converge without the use of a dither signal for plant modelling. Simulations demonstrate that the proposed algorithm has a substantially better transient response and convergence speed than the filtered‐X LMS algorithm. the applicability of the algorithm to the adaptive active‐noise‐cancelling problem is demonstrated using an identified acoustic model.