Adaptive linearization of hybrid step motors: stability analysis

Chen, D.; Paden, B.

doi:10.1109/9.222300

Cited by 82 publications

(32 citation statements)

References 23 publications

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“…Besides, it should be mentioned that the values of the components of the gain matrix L of the state observer (29) are chosen such that the poles of the observer are faster than the poles of system (26). System S has three poles: a pair of complex conjugate poles s 1,2 = ± 3 · 2π f j, which are pure imaginary poles, and a real pole placed at the origin, s 3 = 0.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…In the field of power electronics, some well-known examples are the harmonic currents generated by non-linear loads in systems that incorporate rectifiers such as variable speed drives or uninterruptible power supplies [24], and the harmonic current in the neutral conductor of four-wire three-phase dc-ac converters [25]. However, sinusoidal disturbances also appear in many other engineering applications such as active noise and vibration control systems [26], optical and hard disk drives [27], helicopter rotor blades [28], and dc and stepper motors [29], among others.…”

Section: Rejection Of Sinusoidal Disturbancesmentioning

confidence: 99%

“…Specifically, a Luenberger observer, denoted by S o , is considered in this paper, assuming that the dc-link capacitor voltage difference is measurable. It is defined by the equations (29) wherex ∈ R 3 is the estimated state vector described bŷ…”

Section: Estimation Of the Sinusoidal Disturbancementioning

confidence: 99%

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Voltage balancing in three-level neutral-point-clamped converters via Luenberger observer

Umbría

Gordillo

Gómez-Estern

et al. 2014

Control Engineering Practice

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This paper addresses the problems associated with the dc-link capacitor voltages of the three-level neutral-point-clamped power converter: the imbalance of the capacitor voltages as well as the presence of an ac-voltage low-frequency oscillation in the dc link of the converter. In order to cope with them, a mathematical analysis of the capacitor voltage difference dynamics, based on a direct average continuous model, is carried out, considering a singular perturbation approach. The analysis leads to a final expression where a sinusoidal disturbance appears explicitly. Consequently, the two problems can be handled together using the ordinary formulation of a problem of regulating the output of a system subject to sinusoidal disturbances, applying classical control theory to design the controller. In this way, the controller is designed including the disturbance estimate provided by a Luenberger observer to asymptotically cancel the disturbance, while keeping also balanced the capacitor voltages. Experiments for a synchronous threelevel neutral-point-clamped converter prototype are carried out to evaluate the performance and usefulness of the converter working as a grid-connected inverter under the proposed control law.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Rejection Of Sinusoidal Disturbancesmentioning

confidence: 99%

See 1 more Smart Citation

Voltage balancing in three-level neutral-point-clamped converters via Luenberger observer

Umbría

Gordillo

Gómez-Estern

et al. 2014

Control Engineering Practice

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show abstract

“…The proposed controllers estimate asymptotically the sinusoidal disturbances, having in common the idea of applying a control law to cancel them while regulating the capacitor voltage balance as well. The methods use some control concepts widely discussed in [25,26,[47][48][49], and also proposed for the neutral-point-clamped rectifier in [41,42], extending them to the multiple frequency approach of the back-to-back topology of the current paper.…”

Section: Problem Statement and Proposed Voltage Balancing Methodsmentioning

confidence: 99%

“…The definition of the proposed parameter update laws is based on the Lyapunov approach carried out in [47,48], adopting it to the formulation of the final expression of the voltage difference dynamics given by (18). Thus, the first step of the approach considered is the definition of the vectors ω = sin (3ω r t) cos (3ω r t) sin (3ω i t) cos (3ω i t) T (44)…”

Section: Remarkmentioning

confidence: 99%

Asymptotic rejection of sinusoidal disturbances based voltage balance control in back-to-back power converters

Umbría

Gordillo

Salas

et al. 2013

Int. J. Robust. Nonlinear Control

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SUMMARYThis paper addresses the imbalance problem of the dc-link capacitor voltages in the three-level diodeclamped back-to-back power converter. In order to cope with it, a mathematical analysis of the capacitor voltage difference dynamics, based on a continuous model of the converter, is first carried out. It leads to an approximated model which contains explicitly several sinusoidal functions of time. In view of this result, the voltage imbalance phenomenon can be addressed as an output regulation problem, considering the sinusoidal functions as exogenous disturbances. Thus, a novel approach to deal with the mentioned problem in the backto-back converter is presented. Then, the particular features of the disturbances are used to design several controllers. They all follow an asymptotic disturbance rejection approach. In this way, the estimations of the disturbances are used to apply a control law that cancels them while regulating the capacitor voltage balance as well. Finally, the performance of the proposed control laws is evaluated, presenting the simulation results obtained when the different controllers are implemented.

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Rejection of periodic disturbances of unknown and time‐varying frequency

Bodson

2004

Adaptive Control & Signal

109

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The paper reviews available methods for the rejection of periodic disturbances. Such disturbances are often encountered in active noise and vibration control, due to rotating machinery. The emphasis of the paper is on feedback control problems where reference sensors are not available. The case where the frequency of the disturbance is known is considered first. Two sets of algorithms are discussed: one based on the internal model principle of feedback control theory, and the second based on adaptive feedforward cancellation. An interesting observation is that algorithms originating from both approaches can be shown to be equivalent under certain conditions. When the frequency of the disturbance is unknown, an intuitive approach consists in combining a method for the rejection of disturbances of known frequency with a frequency estimator. Alternatively, one may seek to develop a stable adaptation mechanism so that the disturbance is cancelled asymptotically. While algorithms can be designed to adapt to plant and disturbance parameters, the most successful approaches use some limited plant information to adapt the magnitude, frequency, and phase parameters of the control signal. Applications are discussed throughout the paper.

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Adaptive linearization of hybrid step motors: stability analysis

Cited by 82 publications

References 23 publications

Voltage balancing in three-level neutral-point-clamped converters via Luenberger observer

Voltage balancing in three-level neutral-point-clamped converters via Luenberger observer

Asymptotic rejection of sinusoidal disturbances based voltage balance control in back-to-back power converters

Rejection of periodic disturbances of unknown and time‐varying frequency

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