QUASI-SLIDING CONTROL BASED ON PULSE WIDTH MODULATION, ZERO AVERAGED DYNAMICS AND THE L<sub>2</sub> NORM

Fossas, Enric; Griñó, Robert; Biel, Domingo

doi:10.1142/9789812792082_0031

Cited by 46 publications

(64 citation statements)

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“…with ρ ± * defined in (18), then the switching period, T k , converges asymptotically to its reference value, T * , in the steady state.…”

Section: A the Regulation Casementioning

confidence: 99%

“…This can be easily deducted from the fact that, in this case, when taking into account (18), the forced term of (24) is canceled and the corresponding characteristic polynomial has roots in −1 and −ρ + * (ρ * ) −1 , which means that Ω k converges to the initial condition Ω 0 . Therefore,…”

Section: B the Tracking Casementioning

confidence: 99%

“…This concept was presented in [18] and later on implemented in [19]. The main goal of the ZAD strategy consists in computing a duty cycle that guarantees a zero T -periodic mean value of the switching function, with T denoting the switching period.…”

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confidence: 99%

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Switching Frequency Regulation in Sliding Mode Control by a Hysteresis Band Controller

Repecho

Biel

Olm

et al. 2017

IEEE Trans. Power Electron.

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Abstract-Fixing the switching frequency is a key issue in sliding mode control implementations. This paper presents a hysteresis band controller capable of setting a constant value for the steady state switching frequency of a sliding mode controller in regulation and tracking tasks. The proposed architecture relies on a piecewise linear modeling of the switching function behavior within the hysteresis band, and consists of a discrete-time integraltype controller that modifies the amplitude of the hysteresis band of the comparator in accordance with the error between the desired and the actually measured switching period. For tracking purposes an additional feedforward action is introduced to compensate the time variation of the switching function derivatives at either sides of the switching hyperplane in the steady state. Stability proofs are provided, and a design criterion for the control parameters to guarantee closed-loop stability is subsequently derived. Numerical simulations and experimental results validate the proposal.

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“…with ρ ± * defined in (18), then the switching period, T k , converges asymptotically to its reference value, T * , in the steady state.…”

Section: A the Regulation Casementioning

confidence: 99%

Section: B the Tracking Casementioning

confidence: 99%

See 1 more Smart Citation

Switching Frequency Regulation in Sliding Mode Control by a Hysteresis Band Controller

Repecho

Biel

Olm

et al. 2017

IEEE Trans. Power Electron.

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“…This technique was proposed in [8], and later tested numerically and experimentally in [11], [16], and [17]. This technique basically consists of defining a function and forcing an average value of zero at each sampling period.…”

Section: B Control With Zadmentioning

confidence: 99%

“…The technique known as "zero average dynamics" (ZAD) has been used in previous studies [8], [9] because it allows to maintain the commutation frequency [10]. This technique is validated by analytical and numerical results while changing the parameters that determine the stability of the system [11].…”

Section: Introductionmentioning

confidence: 99%

Performance evaluation of a DC-AC inverter controlled with ZAD-FPIC

2018

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Introduction− Power converters are used in microgrids to transfer power to the load with a regulated voltage. However, the DC-AC converters present distortions in the waveform that can be improved with the help of real-time controllers. Objective− Evaluate the response in alternating current of the buck converter controlled with the ZAD-FPIC technique. Methodology− Based on the differential equations that describe the buck power converter, the ZAD and FPIC controllers are designed. Afterwards, simulations of the complete controlled system are made using Simulink of MATLAB. Then, the system is implemented experimentally and the controller is executed in real-time with the help of a DS1104 from dSPACE. In the end, several tests are carried out to check the effectiveness of the controller. Results− The results show that the controller allows good stability against different variations in the system and in the load. Conclusions− The ZAD-FPIC technique controls the variable and tracks changes in the waveform, magnitude, and frequency of the reference signal. The controller presents good stability to different tests, tracking the reference signal after each event. Keywords− Control of power converters, ZAD-FPIC technique, DC-AC converter, signal tracking Resumen Introducción− Los convertidores de potencia son utilizados en las micro redes para transferir la potencia a la carga con una tensión regulada. Sin embargo, los convertidores DC-AC presentan distorsiones en la forma de onda que pueden ser mejoradas con la ayuda de controladores en tiempo real. Objetivo− Evaluar la respuesta en corriente alterna del convertidor buck controlado con la técnica ZAD-FPIC. Metodología− Se parte de las ecuaciones diferenciales que describen el convertidor de potencia buck, luego se diseñan los controladores ZAD y FPIC, se hacen simulaciones del sistema completo controlado en Simulink de Matlab, se implementa el sistema de forma experimental y el controlador se ejecuta en tiempo real con la ayuda de una DS1104 de la empresa dSPACE, al final se realizan varias pruebas para comprobar la efectividad del controlador. Resultados− Los resultados muestran que el controlador permite que una buena estabilidad contra diversas variaciones en el sistema y en la carga. Conclusiones− La técnica ZAD-FPIC controla la variable y realiza seguimiento ante cambios en la forma de onda, magnitud y frecuencia de la señal de referencia. El controlador presenta buena estabilidad ante diferentes pruebas, siguiendo la señal de referencia después de cada evento. Palabras clave− Control de convertidores de potencia, técnica ZAD-FPIC, convertidor DC-AC, seguimiento de señales Performance evaluation of a DC-AC inverter controlled with ZAD-FPIC Evaluación del desempeño de un inversor DC-AC controlado con ZAD-FPIC

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Performance of a Zero Average Dynamics‐controlled buck converter using different pulse‐width modulation schemes

D’Amico

Angulo

2013

Circuit Theory & Apps

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The response of a digital Zero Average Dynamics (ZAD)-controlled buck converter under the variation of its intrinsic parameters as well as the pulse-width modulation signal is studied in detail. The multiparameter analysis presented here leads to a complete knowledge of the different dynamical scenarios exhibited by the system. Numerical results indicate that the success of the ZAD-strategy is highly dependent on the parameter and pulse-width modulation (PWM) combinations. Experiments are included to validate the performance inside the so-called optimum region.commutations of the switch are displaced with respect to the measurement instants [4,5], avoiding basically that the noise originated by the operation of the transistor propagates to the feedback loop. Furthermore, new double-edge modulations have been proposed trying to improve steady-state and transient performances of buck converters [6].Traditional discrete-time models have demonstrated to be very useful for describing the appearance of different dynamical scenarios (e.g. period-doubling bifurcations, Neimark-Sacker bifurcations, discontinuity-induced bifurcations and even chaos) related to analog, and even digital, implementations [7][8][9][10][11][12][13][14]. However, they are not prepared to consider all the current sampling and modulations variations. Several contributions have shown that the dynamical response of different converters can change because of delays in the digital feedback loop [15,16]. A particular case takes place when a buck converter is controlled by a nonlinear law known as Zero Average Dynamics (ZAD) strategy. Results show that the closed-loop system changes radically its characteristics implementing a DE PWM instead of a TE PWM. Although contributions always associate the former with this kind of control, neither of them try to explain why the DE PWM seems to be the most appropriate modulation [17][18][19][20][21][22].Recently, new small-signal discrete-time models for dealing with different kinds of delays in the digital loop and/or sampling instants at any time during a switching period have been proposed in [23,24]. A small-signal z-domain model is also derived in [25] but with the purpose of quantifying the dynamic of a converter for different modulation signals. All these contributions have in common that the proposed models are inappropriate for carrying out a complete study of the influence of digital PWMs over the appearance of nonlinear phenomena.A discrete-time model that can reproduce the nonlinear dynamics of a buck converter under different PWM schemes is considered in this paper. By means of the variation of a new parameter, it is possible to represent any arbitrary location of the switching instants. State-variable equations are derived by fixing the sampling instants at the beginning of the period. The aim is to describe how the performance of the converter controlled by a digital version of the ZAD-strategy is improved/ degraded depending on the parameters and the implemented modulation signal. The closed-loop ...

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QUASI-SLIDING CONTROL BASED ON PULSE WIDTH MODULATION, ZERO AVERAGED DYNAMICS AND THE L₂ NORM

Cited by 46 publications

References 0 publications

Switching Frequency Regulation in Sliding Mode Control by a Hysteresis Band Controller

Switching Frequency Regulation in Sliding Mode Control by a Hysteresis Band Controller

Performance evaluation of a DC-AC inverter controlled with ZAD-FPIC

Performance of a Zero Average Dynamics‐controlled buck converter using different pulse‐width modulation schemes

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QUASI-SLIDING CONTROL BASED ON PULSE WIDTH MODULATION, ZERO AVERAGED DYNAMICS AND THE L2 NORM

Cited by 46 publications

References 0 publications

Switching Frequency Regulation in Sliding Mode Control by a Hysteresis Band Controller

Switching Frequency Regulation in Sliding Mode Control by a Hysteresis Band Controller

Performance evaluation of a DC-AC inverter controlled with ZAD-FPIC

Performance of a Zero Average Dynamics‐controlled buck converter using different pulse‐width modulation schemes

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Product

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QUASI-SLIDING CONTROL BASED ON PULSE WIDTH MODULATION, ZERO AVERAGED DYNAMICS AND THE L₂ NORM