Robust Global Stabilization of the DC-DC Boost Converter via Hybrid Control

Theunisse, Thomas A. F.; Chai, Jun; Sanfelice, Ricardo G.; Heemels, W.P.M.H.

doi:10.1109/tcsi.2015.2413154

Cited by 88 publications

(62 citation statements)

References 23 publications

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“…The authors in [6] follow an energy-based hybrid control approach to design controllers for impulsive dynamical systems. In [5], the authors propose a Control Lyapunov Function (CLF) approach for the control of the DC-DC boost converter. Following the models therein, the converter is composed by an inductor L, a capacitor c, a resistor R, a voltage source v cc , a switch S, and a diode d. The voltage across the inductor, diode, and capacitor are denoted as v L , v D , and v C , respectively.…”

Section: Motivational Examplementioning

confidence: 99%

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Notions and a passivity tool for switched DAE systems

Ñañez¹,

Sanfelice

Quijano³

2017

2017 IEEE 56th Annual Conference on Decision and Control (CDC)

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This paper proposes notions and a tool for passivity properties of non-homogeneous switched Differential Algebraic Equation (DAE) systems and their relationships with stability and control design. Motivated by the lack of results on input-output analysis (such as passivity) for switched DAE systems and their interconnections, we propose to model nonhomogeneous switched DAE systems as a class of hybrid systems, modeled here as hybrid DAE systems with linear flows. Passivity and its variations are defined for switched DAE systems and methods relying on storage functions are proposed. The main contributions of this paper are: 1) passivity and detectability concepts for switched DAE systems, 2) links of the aforementioned passivity and detectability properties to stabilization via static output-feedback. Our results are illustrated in a power system, namely, the DC-DC boost converter, whose model involves DAEs and requires feedback control.

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Section: Motivational Examplementioning

confidence: 99%

“…As a motivation for the study of switched DAE systems with inputs and outputs, we employ the DC-DC boost converter [5]. First, we model each mode of operation using the switched DAE representation in (1).…”

Section: Introductionmentioning

confidence: 99%

Notions and a passivity tool for switched DAE systems

Ñañez¹,

Sanfelice

Quijano³

2017

2017 IEEE 56th Annual Conference on Decision and Control (CDC)

Self Cite

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“…However, most of the existing control methods for dc/dc converters require accurate knowledge of the converter parameters (inductance, capacitance) or the load to guarantee nonlinear stability, which can change during the operation. More robust versions of dc/dc power converter control include the interconnection and damping assignment passivity-based control [16], hybrid control [17] or H ∞ and µ-synthesis [18]. Since modern load types introduce complex dynamics (usually nonlinear) that can increase the nonlinearities and the number of the system states, there is a need for advanced controllers that act independently from the system parameters and guarantee the stable operation of the converter at all times.…”

Section: Introductionmentioning

confidence: 99%

Current-Limiting DC/DC Power Converters

Konstantopoulos

Zhong

2019

IEEE Trans. Contr. Syst. Technol.

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Abstract-A new nonlinear control framework that guarantees the desired regulation (voltage, current or power) with an inherent current-limiting capability for different types of dc/dc power converters is presented in this paper. This framework is based on the idea of applying a virtual resistance in series with the inductor of the converter, which changes according to nonlinear dynamics that depend on the control task. Without requiring any knowledge of the converter inductance, capacitance or the load, the controller structure is appropriately formulated for each power electronic system based on the nonlinear model of the converter. Using input-to-state stability theory, it is proven that the inductor current remains below a maximum value at all times, even during transients, independently from load and input voltage variations. This offers an inherent current-limiting property of the converter under faults, input voltage sags and unrealistic power demands without the need of external protection mechanisms, saturation units or current limiters. Extensive simulation and experimental results validate the effectiveness of the proposed control scheme and its current-limiting property, with comparison to traditional control strategies.

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“…Last years, there have been remarkable efforts to analyze and control power converters by keeping their hybrid nature [4], [12], [23], often referring to the hybrid dynamical systems theory [7]. In this direction, one of the most popular approach consists in the introduction of minprojection control strategies [1], [5], [21].…”

Section: Introductionmentioning

confidence: 99%

Free-matrices min-projection control for high frequency DC-DC converters

Serieye¹,

Albea-Sánchez²,

Seuret³

2019

2019 IEEE 58th Conference on Decision and Control (CDC)

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This paper deals with the stabilization of high frequency DC-DC converters. This kind of systems can be modeled as switched affine systems subject to a periodic sampled-data control implementation. The dynamics of these systems is expressed using the δ-operator in order to cope with high frequency switching control constraints. The novelties of this paper, first, relies on the formulation of a freematrices based min-projection control law, that allows the selection of the mode to be activated, based on the knowledge of the state variables. Second, the stability theorem, expressed in terms of a tractable optimization problem, that guarantees a practical stability result to a set and delivers the optimal control law that minimizes the volume of this one. The method is then illustrated through the control of a high frequency boost converter.

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Robust Global Stabilization of the DC-DC Boost Converter via Hybrid Control

Cited by 88 publications

References 23 publications

Notions and a passivity tool for switched DAE systems

Notions and a passivity tool for switched DAE systems

Current-Limiting DC/DC Power Converters

Free-matrices min-projection control for high frequency DC-DC converters

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