Variable Frequency Resonant Controller Based on Generalized Predictive Control for Biased-Sinusoidal Reference Tracking and Multi-Layer Perceptron

Raymundo Cordero (), Juliana Gonzales, Thyago Estrabis, Luigi Galotto, Rebeca Padilla and João Onofre
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Raymundo Cordero: Electrical Engineering Graduation Program, Federal University of Mato Grosso do Sul, Campo Grande 79070-900, MS, Brazil
Juliana Gonzales: Electrical Engineering Graduation Program, Federal University of Mato Grosso do Sul, Campo Grande 79070-900, MS, Brazil
Thyago Estrabis: Electrical Engineering Department, Federal University of Rio de Janeiro, Rio de Janeiro 21941-614, RJ, Brazil
Luigi Galotto: Electrical Engineering Graduation Program, Federal University of Mato Grosso do Sul, Campo Grande 79070-900, MS, Brazil
Rebeca Padilla: Institute of Chemistry, Federal University of Mato Grosso do Sul, Campo Grande 79070-900, MS, Brazil
João Onofre: Oak Ridge National Laboratory—ORNL, Oak Ridge, TN 37830, USA

Energies, 2024, vol. 17, issue 12, 1-16

Abstract: Resonant controllers are widely used in power electronics to track sinusoidal references. According to the internal model principle (IMP), these controllers should embed the poles of the Laplace or Z transform of the reference for the closed-loop system to track the reference asymptotically. Thus, tracking a sinusoidal reference is difficult as the controller should adapt its structure to embed the poles of the sinusoidal reference with variable frequency, as those poles depend on that variable frequency. On the other hand, Generalized Predictive Control (GPC) is widespread in industry applications due to its fast response, robustness and capability to include constraints. Resonant controllers based on GPC, which satisfy IMP, have been developed. However, these controllers consider the sinusoidal frequency to be constant. This paper presents a new GPC-based resonant controller with an adaptive and simple control law to track references with variable frequencies. A PLL estimates the frequency of the reference. A multi-layer perceptron uses the estimated frequency to define the gain matrix required to calculate the GPC control action. The GPC control action and the estimated frequency define the control law, which satisfies IMP in steady-state conditions. The authors did not find in the literature the proposed mathematical development of an adaptive GPC resonant controller with a discrete-time augmented model whose control law satisfies IMP. Thus, the proposed approach is helpful to develop other adaptive predictive controllers. Experimental results show that the proposed controller can track sinusoidal references whose frequencies vary in time.

Keywords: generalized predictive control; multi-layer perceptron; resonant controller; variable frequency (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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