LQR control with integral action applied to a high gain step-up DC-DC converter

This paper presents the linear quadratic regulator (LQR) control technique applied to a high gain boost converter based on three-state switching cell (TSSC). In order to control the state variables of the aforementioned converter, which usually are the current through the filter inductor and voltage...

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Bibliographic Details
Published inXI Brazilian Power Electronics Conference pp. 256 - 261
Main Authors Reis, F. E. U., Torrico-Bascope, R. P., Costa, M. V. S.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.09.2011
Subjects
Capacitors
Control systems
High gain boost converter
Inductors
LQR optimal control
Mathematical model
Resistance
state space modeling
Vectors
Voltage control
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Summary:This paper presents the linear quadratic regulator (LQR) control technique applied to a high gain boost converter based on three-state switching cell (TSSC). In order to control the state variables of the aforementioned converter, which usually are the current through the filter inductor and voltage across the output capacitor, the small signal average state-space model is used, as the mathematical equations are obtained. Due to the complexity of the converter, the physical circuit formed by semiconductors, magnetic elements, capacitors, and resistors, is initially transformed into an equivalent classical boost converter, and then the matrix equations that reproduce the converter's dynamic behavior are determined. After the modeling, with the aim to obtain the optimal control law that minimizes the predefined cost function, the compensator design is performed using MATLAB. The converter control system is validated through simulation using ORCAD and experimentation by developing a 1-kW laboratory prototype.
ISBN:9781457716447
1457716445
ISSN:2165-0454
2643-9778
DOI:10.1109/COBEP.2011.6085262