Constrained switching stabilization of a dc-dc boost converter using piecewise-linear Lyapunov functions

Yfoulis, Christos; Giaouris, Damian; Voutetakis, S.; Papadopoulou, Simira

doi:10.1109/med.2013.6608817

Cited by 12 publications

(14 citation statements)

References 14 publications

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“…As a motivating example, a boost converter as in Fig It is not difficult to use many different methodologies [14,6] to design state-feedback laws as in (12) for nominal operating conditions, while extra state and control constraints are satisfied. However, when the converter operates in a wide operating region, several undesirable phenomena may occur.…”

Section: A Motivating Examplementioning

confidence: 99%

“…Furthermore, set-theoretic approaches to the constrained stabilization of power converters on the basis of bilinear dynamics have been recently proposed, see [13,9,6,14] and references therein. In these works linear static state-feedback controllers can be found by generating polytopic contractive sets induced by corresponding piecewise-linear (polyhedral) Lyapunov functions while taking into account both state and input constraints.…”

Section: Introductionmentioning

confidence: 99%

“…Bifurcation phenomena that can give rise to multiple equilibria and unstable attractors, as well as subharmonic oscillations are detected using bifurcation analysis. The material presented in [14,16] is extended by fully investigating the aforementioned nonlinear phenomena for all possible variations of the uncertain parameters. Relating the presence of such phenomena with the range of parameters and the controller gains is important, and must be taken into account during the design procedure.…”

Section: Introductionmentioning

confidence: 99%

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Robust constrained stabilization of boost DC–DC converters through bifurcation analysis

Yfoulis

Giaouris

Stergiopoulos

et al. 2015

Control Engineering Practice

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This paper proposes a new methodology for designing robust affine state-feedback control laws, so that wide-range safe and efficient operation of switched-mode DC-DC boost converters is guaranteed. Several undesirable nonlinear phenomena such as unstable attractors and subharmonic oscillations are avoided through bifurcation analysis based on the bilinear averaged model of the converter. The control design procedure also relies on constrained stabilization principles and the generation of safety domains using piecewise linear Lyapunov functions, so that robustness to supply voltage and output load variations is ensured, while input saturation is avoided and additional state constraints are also respected. The technique has been numerically and experimentally validated.

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Section: A Motivating Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Robust constrained stabilization of boost DC–DC converters through bifurcation analysis

Yfoulis

Giaouris

Stergiopoulos

et al. 2015

Control Engineering Practice

View full text Add to dashboard Cite

show abstract

“…Recently, set-theoretic approaches to the constrained stabilization of power converters on the basis of bilinear dynamics have been proposed in the literature, see [3], [4] and references therein. In these works linear static state-feedback controllers can be found by generating polytopic contractive sets while taking into account both state and input constraints.…”

Section: Introductionmentioning

confidence: 99%

Robust constrained stabilization of a boost DC-DC converter with Lyapunov-based control and piecewise-linear Lyapunov functions

Yfoulis

Giaouris

Stergiopoulos

et al. 2014

2014 European Control Conference (ECC)

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In this paper we describe a new methodology for designing robust and efficient state-feedback control laws for a switched-mode boost DC-DC power converter. The proposed design is adopting the so-called Lyapunov-based control law and attempts to solve the robust constrained stabilization problem under large parameter variations. With the methodology proposed static or switching state-feedback control laws are generated so that a number of further key issues are addressed, i.e. low complexity of the implementation, accurate nonlinear dynamics incorporation, nonconservative handling of hard state and control constraints, robustness to supply voltage variations, set-point and load changes. The control design procedure is based on the generation of controlled invariant polytopes (safety domains) using piecewise-linear Lyapunov functions. The proposed technique is numerically evaluated using the exact switched model of the converter.

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“…Such an approach requires 1 V. Spinu In contrast to classical control methods, constrained control techniques can take into account constraints in the design phase and possibly provide strong guarantees of constraints handling a priori. Multiple approaches have been suggested for constrained stabilization of power converters, e.g., settheoretic methods [1], [19], [20], model predictive control and other hybrid control techniques [8], [12], [13], [15], [17]. Reference tracking, however, can bring additional challenges, e.g., considering the reference as a parameter within the settheoretic methods generally would lead to bilinear optimization problems, and the augmented model with the reference dynamics ca be too large for the MPC to handle within the required computation time.…”

Section: Introductionmentioning

confidence: 99%

Constrained reference tracking for a high-speed buck converter

Spinu

Lisi

Lazăr

2014

2014 IEEE Conference on Control Applications (CCA)

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Buck converters are ubiquitous in modern electronics, providing well regulated supply voltage to processing units and other integrated circuits, as well as to many other loads. In many applications, e.g., power supplies for processors, the reference for the output is piecewise constant, and typically the power converter must effectively reject disturbances due to fast changes in the load behavior. Furthermore, the stress on the converter components must be kept within specified limits to ensure increased life-time and high reliability of the end equipment. To answer this challenge, this paper investigates a previously proposed set-theoretic method for constrained reference tracking, and extends the approach towards handling additive disturbances which can be either measured or estimated. Within the method a nominally stabilizing control law and the associated domain of attraction are exploited to define the tracking control law which inherits the domain of attraction from the stabilizing one even in the presence of bounded additive disturbance. The approach is experimentally validated on a real-life buck converter and the measurement results are provided. Although, the control solution is illustrated on a buck converter only, the result is generic, and can be applied to any power converter with a linear averaged model.

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Constrained switching stabilization of a dc-dc boost converter using piecewise-linear Lyapunov functions

Cited by 12 publications

References 14 publications

Robust constrained stabilization of boost DC–DC converters through bifurcation analysis

Robust constrained stabilization of boost DC–DC converters through bifurcation analysis

Robust constrained stabilization of a boost DC-DC converter with Lyapunov-based control and piecewise-linear Lyapunov functions

Constrained reference tracking for a high-speed buck converter

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