This paper describes a new multi-rate controller for hard disk drives, whic
h has a modified state estimator to correct the estimated states not only a
t measurement instances of the position error signal but also at every cont
rol instance when updating the control input. This modification makes the c
ontrol input smoother compared to the conventional multi-rate scheme. This
estimator is obtained as a stochastic optimal estimator for a linear dynami
c system with a 'random walk' input noise process. The effectiveness of the
modified scheme is demonstrated by experiments.