Design Procedure Combining Linear Matrix Inequalities and Genetic Algorithm for Robust Control of Grid-Connected Converters

• Published in: IEEE transactions on industry applications Vol. 56; no. 2; pp. 1896 - 1906
• Main Authors: Koch, Gustavo Guilherme, Osorio, Caio R. D., Pinheiro, Humberto, Oliveira, Ricardo C. L. F., Montagner, Vinicius Foletto
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-03-2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: <inline-formula xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"> <tex-math notation="LaTeX"> mathcal {H}_{\infty }</tex-math> </inline-formula> control; Automatic control; Converters; Design parameters; Feedback control; genetic algorithm (GA); Genetic algorithms; Grid-connected converters (GCCs); Linear matrix inequalities; linear matrix inequalities (LMIs); Mathematical analysis; Parameter uncertainty; Robust control; State feedback; Viability
• ISSN: 0093-9994; 1939-9367
• DOI: 10.1109/TIA.2019.2959604

This article proposes a design procedure for <inline-formula><tex-math notation="LaTeX">\mathcal {H}_{\infty }</tex-math></inline-formula> current controllers suitable for application in grid-connected converters (GCCs) subject to disturbances and uncertain parameters. Linear matrix inequalities provide robust state feedback controllers from a set of design parameters automatically tuned with the help of a genetic algorithm, oriented by a suitable objective function. Such strategy allows to overcome the problem of <inline-formula><tex-math notation="LaTeX">\mathcal {H}_{\infty }</tex-math></inline-formula> high control gains, ensuring a good tradeoff between performance and robustness against uncertain grid parameters. The proposal contributes to improve the effective use of metaheuristics for automated control tuning in GCCs, avoiding time-consuming human-machine interaction in the design stage. A case study with experimental results is presented, demonstrating the viability and the superior performance of the proposed controllers with respect to similar techniques, and also the compliance with the IEEE 1547 Std for grid currents.