Digital Control of a Buck Converter Based on Input-Output Linearization. An Interpretation Using Discrete-Time Sliding Control Theory

Vidal-Idiarte, Enric; Restrepo, Carlos; Aroudi, Abdelali El; Calvente, J.; Giral, Roberto

doi:10.3390/en12142738

Cited by 4 publications

(4 citation statements)

References 25 publications

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“…It is demonstrated above that, with the proposed choice of the sliding hyperplane, one can reduce the width of quasi-sliding mode band (8) to zero. This is possible because the sliding variable is designed so that it is not affected by the most recent disturbance.…”

Section: Properties Of the Proposed Strategymentioning

confidence: 96%

“…In this paper, we propose a novel method of sliding hyperplane selection which reduces the width of band (8) to zero. This is a novel achievement, since, in all known literature on discrete-time sliding mode control, this width is always strictly positive in the presence of uncertainties.…”

Section: Discrete-time Sliding Mode Controlmentioning

confidence: 99%

“…In particular, the disturbance rejection property is achieved by confining the state of the plant to an n − 1 dimensional hyperplane in finite time [5]. Since most modern control processes are applied digitally, discrete-time sliding mode control (DSMC) strategies are also considered in the literature [6][7][8]. Unlike continuous-time strategies of this type, DSMC aims to drive the system representative point to a certain vicinity of the sliding hyperplane, usually proportional to the magnitude of the disturbance.…”

Section: Introductionmentioning

confidence: 99%

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Zero-Width Quasi-Sliding Mode Band in the Presence of Non-Matched Uncertainties

Latosiński

Bartoszewicz

2021

Energies

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Sliding mode control strategies are well known for ensuring robustness of the system with respect to disturbance and model uncertainties. For continuous-time plants, they achieve this property by confining the system state to a particular hyperplane in the state space. Contrary to this, discrete-time sliding mode control (DSMC) strategies only drive the system representative point to a certain vicinity of that hyperplane. In established literature on DSMC, the width of this vicinity has always been strictly greater than zero in the presence of uncertainties. Thus, ideal sliding motion was considered impossible for discrete-time systems. In this paper, a new approach to DSMC design is presented with the aim of driving the system representative point exactly onto the sliding hyperplane even in the presence of uncertainties. As a result, the quasi-sliding mode band width is effectively reduced to zero and ideal discrete-time sliding motion is ensured. This is achieved with the proper selection of the sliding hyperplane, using the unique properties of relative degree two sliding variables. It is further demonstrated that, even in cases where selection of a relative degree two sliding variable is impossible, one can use the proposed technique to significantly reduce the quasi-sliding mode band width.

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Section: Properties Of the Proposed Strategymentioning

confidence: 96%

Section: Discrete-time Sliding Mode Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Zero-Width Quasi-Sliding Mode Band in the Presence of Non-Matched Uncertainties

Latosiński

Bartoszewicz

2021

Energies

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“…In [4,5], digital charge balance controllers are proposed to achieve a time-optimal transient response. In terms of non-linear approaches, digital sliding mode controls are preferable strategies for optimizing large signal transients [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

State Switched Discrete-Time Model and Digital Predictive Voltage Programmed Control for Buck Converters

et al. 2020

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Switched mode power converters are nonlinear systems, and it is a constant challenge to improve their modeling accuracy and control performance. In this paper, a State Switched Discrete-time Model (SSDM) is proposed, which achieves a higher accuracy at a high frequency than that of conventional state averaged models. Instead of averaging the converter states for approximation, the states within each switching cycle are considered in the modeling. Based on total differential equations of switching-ON and switching-OFF durations, the inductor current and output voltage within a cycle are accurately calculated, which derives the SSDM. Furthermore, a Digital Predictive Voltage Programmed (DPVP) control strategy is derived through the SSDM. Through voltage prediction, a suitable duty ratio is calculated that regulates the output voltage to its reference value in the minimum switching cycles. In this way, the converter achieves a very fast load/line transient response and reference tracking speed, and it exhibits a high stability under deviated inductance. Finally, the accuracy of SSDM and the system stability are proved by frequency response analyses and experiments.

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