Comparação entre Controladores Hi e H2 Aplicados ao Conversor Boost

Abstract

Technological advancements, particularly in electrical equipment and renewable energy sources such as electric vehicles and solar panels, demand the study of control techniques and methods that ensure stability and efficiency of the employed system. The Boost converter circuit is widely used in control systems within this context. Based on this, the goal is to compare controllers designed under the Hi and H2 norms applied to a Boost converter. To this end, a voltage-doubling Boost converter is implemented through computational simulation in MATLAB/Simulink. The design of the Hi and H2 state-feedback controllers for the Boost converter was formulated using linear matrix inequalities (LMIs). Controllers were developed in both continuous-time and discrete-time domains. In addition, frequency weights were applied with the objective of designing a system capable of rejecting disturbances within a predefined frequency range. To simulate specific cases, input voltage disturbances of vin = 2 V and output current disturbances of io = 250 mA were defined and applied to the circuit in all analyzed scenarios. The results confirmed the good performance of the controllers in voltage regulation, especially the discrete-time Hi and H2 controllers with filters, which demonstrated effective voltage correction and close approximation to the ideal voltage of 24 V, even under disturbances. Therefore, these controllers can be applied to control systems in general and enable the development of a predictive control model for the Boost converter.