Digital control of repetitive errors in disk drive systems

Chew, Kok-Kia; Tomizuka, Masayoshi

doi:10.1109/37.50664

Cited by 288 publications

(108 citation statements)

References 12 publications

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“…This section details some geometric aspects of the frequency response (G(e j·ω ) = k r e j·ω·N −β e j·ω·N −α , ω ∈ [−π, π]) of the repetitive cell stated in equation (1). Some of these characteristics can be useful to assess the performance of a closed-loop system by looking its contribution to the shape of open-loop transfer function.…”

Section: Frequency Responsementioning

confidence: 99%

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A New Passive Repetitive Controller For Discrete-Time Finite-Frequency Positive-Real Systems

Costa‐Castelló¹,

Wang

Griñó³

2006

Proceedings of the 45th IEEE Conference on Decision and Control

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Abstract-This work proposes a new repetitive controller for discrete-time finite-frequency positive-real systems which are required to track periodic references or to attenuate periodic disturbances. The main characteristic of the proposed controller is its passivity. This fact implies closed-loop stable behavior when it is used with discrete-time passive plants, but additional conditions must be fulfilled when it is used with a discretetime finite-frequency positive-real plant. These conditions are analyzed and a design procedure is proposed.

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Section: Frequency Responsementioning

confidence: 99%

“…The concept of repetitive control has been largely used in different control areas such as CD and disk arm actuators [1], electronic rectifiers [17], pulse-width modulated (PWM) inverters [16], [15], and current harmonics active filters [2].…”

Section: Introductionmentioning

confidence: 99%

A New Passive Repetitive Controller For Discrete-Time Finite-Frequency Positive-Real Systems

Costa‐Castelló¹,

Wang

Griñó³

2006

Proceedings of the 45th IEEE Conference on Decision and Control

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show abstract

“…In order to successfully apply the memory loop as an add-on device under measurement conditions, overall system stability must be preserved [Tomizuka, Tsao, & Chew, 1988, Hillerström, 1996, Chew, & Tomizuka, 1990. The transfer function of the memory loop M is given by…”

Section: Stabilitymentioning

confidence: 99%

Measuring the higher order sinusoidal input describing functions of a non-linear plant operating in feedback

Nuij

Steinbuch

Bosgra

2008

Control Engineering Practice

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In this paper two measuring techniques are presented for measuring the Higher Order Sinusoidal Input Describing Functions (HOSIDF) of a non-linear plant operating in feedback. The HOSIDF relate the magnitude and phase of the harmonics of the periodic response of a non-linear system to the magnitude and phase of the sinusoidal excitation. In a controlled system the harmonics generated by the non-linear system will be fed back to the input changing the sinusoidal excitation into a harmonic excitation. The first method applies linear techniques to compensate the bias caused by the harmonic components in the excitation signal. The second method uses a modified repetitive control scheme to suppress the harmonic components in the excitation signal. The effectiveness of both methods is tested in simulations of a mass subjected to Coulomb friction, Stribeck-effect and hysteresis in the pre-sliding regime. The friction forces are modeled with the modified Leuven friction model. The results are compared with the HOSIDF simulated under open loop condition. Both methods prove able to produce reliable results.

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“…Its use has reported successful results in different control areas, such as CD and disk arm actuators [3], robotics [23], electro-hydraulics [15], electronic rectifiers [27], pulsewidth modulated inverters [26,25] and shunt active power filters [5].…”

Section: Introductionmentioning

confidence: 99%

Adaptive compensation strategy for the tracking/rejection of signals with time-varying frequency in digital repetitive control systems

Olm

Ramos

Costa‐Castelló

2010

Journal of Process Control

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Digital repetitive control is a technique which allows to track periodic references and/or reject periodic disturbances. Repetitive controllers are usually designed assuming a fixed frequency for the signals to be tracked/rejected, its main drawback being a dramatic performance decay when this frequency varies. A usual approach to overcome the problem consists of an adaptive change of the sampling time according to the reference/disturbance period variation. However, this sampling period adaptation implies parametric changes affecting the closed-loop system behavior, that may compromise the system stability. This article presents a design strategy which allows to compensate for the parametric changes caused by sampling period adjustment. Stability of the digital repetitive controller working under timevarying sampling period is analyzed. Theoretical developments are illustrated with experimental results.

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Digital control of repetitive errors in disk drive systems

Cited by 288 publications

References 12 publications

A New Passive Repetitive Controller For Discrete-Time Finite-Frequency Positive-Real Systems

A New Passive Repetitive Controller For Discrete-Time Finite-Frequency Positive-Real Systems

Measuring the higher order sinusoidal input describing functions of a non-linear plant operating in feedback

Adaptive compensation strategy for the tracking/rejection of signals with time-varying frequency in digital repetitive control systems

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