Gain-Scheduled Control Design Applied to Classical dc–dc Converters in Photovoltaic Systems and Constant Power Loads

Roberto M. Fuentes, Jonathan M. Palma (), Hildo Guillardi Júnior, Márcio J. Lacerda, Leonardo de P. Carvalho, Alejandro J. Rojas and Ricardo C. L. F. Oliveira
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Roberto M. Fuentes: Faculty of Engineering, University of Talca, Curicó 3340000, Chile
Jonathan M. Palma: Faculty of Engineering, University of Talca, Curicó 3340000, Chile
Hildo Guillardi Júnior: School of Engineering of São João da Boa Vista, São Paulo State University—UNESP, São João da Boa Vista 15054-000, SP, Brazil
Márcio J. Lacerda: Control and Modelling Group (GCOM), Department of Electrical Engineering, Federal University of São João del-Rei—UFSJ, São João del-Rei 36307-352, MG, Brazil
Leonardo de P. Carvalho: Polytechnic School, Telecommunications Engineering and Control Department, University of São Paulo—USP, São Paulo 05508-060, SP, Brazil
Alejandro J. Rojas: Department of Electrical Engineering, Universidad de Concepción, Concepción 4030000, Chile
Ricardo C. L. F. Oliveira: School of Electrical and Computing Engineering, University of Campinas—UNICAMP, Campinas 13083-852, SP, Brazil

Mathematics, 2022, vol. 10, issue 19, 1-20

Abstract: This paper investigates the problem of control design for dc–dc converters, where the solution is especially suitable to address variations in the input voltage, a frequent situation in photovoltaic systems, and the problem of constant power load, where a nonlinear load is connected to the output of the converter. The proposed approach models the converters in terms of Linear Parameter-Varying (LPV) models, which are used to compute gain-scheduled robust gains. The synthesis conditions provide stabilizing controllers with an attenuation level of disturbances in terms of the H ∞ norm. Moreover, the design conditions can also overcome pole locations to comply with physical application restrictions when ensuring transient performance. The validation of the controllers is made via simulation of the classical converters (buck, boost and buck-boost), showing that the proposed method is a viable and generalized control solution that works for all three converters, with guarantees of closed-loop stability and good performance.

Keywords: DC–DC converter; D-stability design control; H-infinity performance; LPV modeling; robust and gain-scheduled control; state-feedback control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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