I. Introduction
The narrow-band disturbances with spectral energies concentrating at narrow frequency bands commonly exist in a practical servomechanism, e.g., the hard disk drive (HDD) servo system. In HDDs, the track misregistration (TMR) is composed of many factors such as the repeatable runout (RRO) and the nonrepeatable runout (NRRO). Typically, a large portion of the NRRO is contained within narrow frequency bands. In order to meet the requirement for a high track density HDD, the classical loop shaping methods and modern control theories such as and optimal control techniques have been applied to reject the RROs and the narrow-band NRROs [1]. The modern control design based on state-space formulations is an automated design tool, which however often results in an impractically high-order controller. The classical loop shaping methods can provide more intuition and a greater ability to tune designs to achieve performance than the automated tools [2]. The narrow-band disturbance filter proposed in this paper is also based on the classical loop shaping technique.