High Bandwidth Design of Track-Following Control System of Hard Disk Drive Using H&lt;inf&gt;¿&lt;/inf&gt; Control Theory

Hirata,; Hasegawa, M.

doi:10.1109/isic.2007.4359736

Cited by 4 publications

(5 citation statements)

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“…This example illustrates an ANCBI plant with an underdamped mode and a pair of poles at the origin. It corresponds to a seek control model of a hard-disk drive as presented in [9] and studied in [12]…”

Section: Examplementioning

confidence: 99%

Nonlinear Static State Feedback for Saturated Linear Plants via a Polynomial Approach

Valmórbida

Zaccarian

Tarbouriech

et al. 2017

IEEE Trans. Automat. Contr.

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The paper revisits the local exponential stabilization and global asymptotic stabilization problems of saturated linear systems using nonlinear control laws. The proposed nonlinear control law has rational dependence on a parameter σ, which is computed by solving an implicit equation depending on the state. Constructive solutions are obtained, based on a sum-of-squares formulation of the proposed conditions.

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Section: Examplementioning

confidence: 99%

Nonlinear Static State Feedback for Saturated Linear Plants via a Polynomial Approach

Valmórbida

Zaccarian

Tarbouriech

et al. 2017

IEEE Trans. Automat. Contr.

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“…In order to figure out what characteristic an uncertainty has in practice, let us look at the Institute of Electrical Engineers of Japan benchmark model of an HDD head

P (s) MathClass-rel= K_{p} ((), \frac{1}{s^{2}} MathClass-bin- \frac{A}{s^{2} MathClass-bin+ 2 ζ_{1} ω_{1} s MathClass-bin+ ω_{1}^{2}})

in which A = 0.4 ∼ 1.0, ζ 1 = 0.02 ∼ 0.6, ω 1 = 4000 ∼ 4200[Hz], and K p = 3.74 × 10 9 .…”

Section: New Model For Uncertaintymentioning

confidence: 99%

“…For illustration, the following sixth degree controller K ( s ) designed in is applied to the benchmark described in Subsection 2.1:

\frac{31 MathClass-punc. 5 (s MathClass-bin+ 8277) (s MathClass-bin+ 47 MathClass-punc. 12) (s^{2} MathClass-bin+ 4460 s MathClass-bin+ 4 MathClass-punc. 88 MathClass-bin\times 1 0^{8}) (s^{2} MathClass-bin+ 2 MathClass-punc. 703 MathClass-bin\times 1 0^{4} s MathClass-bin+ 8 MathClass-punc. 485 MathClass-bin\times 1 0^{8})}{s (s MathClass-bin+ 5 MathClass-punc. 076 MathClass-bin\times 1 0^{5}) (s^{2} MathClass-bin+ 2 MathClass-punc. 052 MathClass-bin\times 1 0^{4} s MathClass-bin+ 5 MathClass-punc. 151 MathClass-bin\times 1 0^{8}) (s^{2} MathClass-bin+ 4 MathClass-punc. 866 MathClass-bin\times 1 0^{4} s MathClass-bin+ 8 MathClass-punc. 995 MathClass-bin\times 1 0^{9})} MathClass-punc.

…”

Section: Institute Of Electrical Engineers Of Japan Hard Disk Drive Bmentioning

confidence: 99%

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A high‐performance robust control method based on the gain and phase information of uncertainty

Liu

2013

Intl J Robust & Nonlinear

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SummaryThe well‐known small‐gain and passivity approaches to robust control only make use of either the gain or the phase information of uncertainty in system design. This results in a limitation on the achievable control bandwidth in practical applications. To relax the limitations associated with these approaches, we explore the possibility of utilizing both the gain and the phase information of uncertainty in robust control design. In this paper, the modeling of uncertainty accounting for both gain and phase is discussed first. Then conditions for robust stability and robust performance (sensitivity and bandwidth) are derived respectively. These robustness conditions are described as phase or gain constraints on the nominal system in different frequency bands. Further, it is revealed, both theoretically and via a hard disk drive benchmark, that a much higher robust performance can be achieved by using the gain and phase information of uncertainty. Copyright © 2013 John Wiley & Sons, Ltd.

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“…To design the robust controller systematically, the H ∞ control theory is widely used because the small gain theorem makes the robust stability problem easy to handle (Hirata et al, 1992;Semba, 2001;Ohno and Hara, 2005;Hirata and Hasegawa, 2007). However, the H ∞ control theory doesn't handle robust performance problem.…”

Section: Introductionmentioning

confidence: 99%

Magnetic-head positioning control of HDDs with improved <i>H</i><sub>∞</sub> controller by Robust Controller Bode (RCBode) plot

Ito

Atsumi

2018

JAMDSM

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In this paper, we present a robust controller design method for a magnetic-head positioning system in a hard disk drive (HDD) based on the H ∞ control theory and the Robust Controller Bode (RCBode) lot. The RCBode plot represents robust performance criteria as allowable and forbidden areas on Bode diagrams for a controller. Using the RCBode plot, we can improve an existing H ∞ controller with visualized guidelines in order to compensate for disturbances against plant perturbations. We show utilities of the proposed method by applying it to a popular benchmark problem for the HDDs. Simulation results with the HDD benchmark problem showed that the proposed method enables us to improve positioning accuracy of the magnetic-head position by about 15% without losing stability margins from the original H ∞ controller.

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High Bandwidth Design of Track-Following Control System of Hard Disk Drive Using H<inf>¿</inf> Control Theory

Cited by 4 publications

References 0 publications

Nonlinear Static State Feedback for Saturated Linear Plants via a Polynomial Approach

Nonlinear Static State Feedback for Saturated Linear Plants via a Polynomial Approach

A high‐performance robust control method based on the gain and phase information of uncertainty

Magnetic-head positioning control of HDDs with improved <i>H</i><sub>∞</sub> controller by Robust Controller Bode (RCBode) plot

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