| Abstract: | 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. |
