Transient Response Improvement of the Robust Servomechanism Problem for Sinusoidal Signals

Chang, Michael; Davison, E.J.

doi:10.3182/20090616-3-il-2002.00055

Cited by 3 publications

(3 citation statements)

References 15 publications

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“…3 (bottom) shows the corresponding outputs of C (6) for this system setup, and a steady-state sinusoidal servocompensator output of approximately ± 0.021 tracks per sample 2 is seen to be needed to attain asymptotic sinusoidal reference tracking. Then, upon using the new analytic equation given in (8) with, for instance, (ι, j ) = (0, 1), instantaneous output magnitude estimates R3 of C can be obtained, and, as expected, the calculated envelopes displayed here once again demonstrate both the excellent theoretical concordance and the robust empirical effectiveness.…”

Section: B Hdd Disturbance Simulationssupporting

confidence: 71%

“…with ω i > 0 and unique for all i , one can show [1]- [3], [8] that with a sampling time period T > 0, discrete-time zero-order hold servocompensators that maintain the overall closed-loop stability will always exist and that such servocompensator implementations will be composed of a finite set of linear combinations of parallel input-output transfer functions parameterized by…”

Section: Sinusoidal Servomechanism Implementationsmentioning

confidence: 99%

“…In practice, various adaptive feedforward cancelation (AFC) control [6]- [8] or identification [9] methods have been successfully applied to data storage systems to asymptotically regulate and reject, respectively, reference and disturbance signals having multiple fixed or known harmonic frequencies.…”

Section: Introductionmentioning

confidence: 99%

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Sinusoidal Servocompensator Implementations With Real-Time Requirements and Applications

Chang

Guo

2017

IEEE Trans. Contr. Syst. Technol.

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This brief solves critical long-standing numerical stability issues for solutions to the sinusoidal robust servomechanism problem implemented as discrete-time linear time-invariant transfer functions; new closed-form results for direct form I and direct form II implementations now enable such forms to be used indefinitely in open-loop autonomous, or feedforward, configuration, and also provide difference equation initialization and servocompensator output parameter estimation methods that can be quickly calculated and used to enhance transient system performance and to assess harmonic control components. Simulation and real-time experimental results presented, respectively, exhibit expected concordance and robust effectiveness, and therefore highlight the method whereby such linear configurations can be pragmatically applied to further reduce computational implementation requirements relative to their mathematically intensive nonlinear time-varying counterparts.

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Section: B Hdd Disturbance Simulationssupporting

confidence: 71%

Section: Sinusoidal Servomechanism Implementationsmentioning

confidence: 99%

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Sinusoidal Servocompensator Implementations With Real-Time Requirements and Applications

Chang

Guo

2017

IEEE Trans. Contr. Syst. Technol.

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Performance limitations of the servomechanism problem when the number of tracking/disturbance poles increases

Davison

Lam

2010

49th IEEE Conference on Decision and Control (CDC)

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Input/Output Stabilization in the General Two-Sided Model Matching Setup

Kristalny¹,

Mirkin²

2012

SIAM J. Control Optim.

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The problem of input-output stabilization in a general two-sided model matching setup is studied. As a first step, the problem is reduced to a pair of uncoupled bilateral Diophantine equations over RH 1. Then, recent results on bilateral Diophantine equation are exploited to obtain a numerically tractable solution given in terms of explicit state-space formulae. The resulting solvability conditions rely on two uncoupled Sylvester equations accompanied by algebraic constraints. This is in contrast to the corresponding one-sided stabilization, where no Sylvester equations are required. It is shown that imposing a mild simplifying assumption is instrumental in obtaining convenient parameterization of all stabilizing solutions, which is affine in a single RH 1 parameter. This demonstrates that if the aforementioned assumption is imposed, the general two-sided stabilization problem is similar to its one-sided counterpart in the sense that the constraints imposed by a stability requirement can be resolved without increasing problem complexity.

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Transient Response Improvement of the Robust Servomechanism Problem for Sinusoidal Signals

Cited by 3 publications

References 15 publications

Sinusoidal Servocompensator Implementations With Real-Time Requirements and Applications

Sinusoidal Servocompensator Implementations With Real-Time Requirements and Applications

Performance limitations of the servomechanism problem when the number of tracking/disturbance poles increases

Input/Output Stabilization in the General Two-Sided Model Matching Setup

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