LMI-Based MPC Design Applied to the Single-Phase PWM Inverter with LC Filter under Uncertain Parameters

• Published in: Sensors (Basel, Switzerland) Vol. 24; no. 13; p. 4325
• Main Authors: Andrea, Cristiano Quevedo, Batista, Edson Antonio, Pereira, Luís Felipe da Silva Carlos, de Brito, Moacyr Aureliano Gomes, de Souza, Gustavo Vargas
• Format: Journal Article
• Language: English
• Published: Switzerland MDPI AG 03.07.2024
• Subjects: Control algorithms; Controllers; Design; Field programmable gate arrays; FPGA-in-the-loop; linear matrix inequalities; predictive control; Robust control; single-phase PWM inverter; Systems design; FPGA-in-the-loop; single-phase PWM inverter; predictive control; linear matrix inequalities
• ISSN: 1424-8220; 1424-8220
• DOI: 10.3390/s24134325

This work proposes a design methodology for predictive control applied to the single-phase PWM inverter with an LC filter. In the design, we considered that the PWM inverter has parametric uncertainties in the filter inductance and output load resistance. The control system purpose is to track a sinusoidal signal at the inverter output. The designed control system with an embedded integrator uses the principle of receding horizon control, which underpinned predictive control. The methodology was described by linear matrix inequalities, which can be solved efficiently using convex programming techniques, and the optimal solution is obtained. MATLAB-Simulink and real-time FPGA-in-the-loop simulations illustrate the viability of the proposed control system. The LMI-based MPC reveals an effective performance for tracking of a sinusoidal reference signal and disturbance rejection of input voltage and load perturbations for the inverter subject to uncertainties.