AbstractThis 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
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