Optimization of the Lyapunov Based Nonlinear Controller Parameters in a Single-Phase Grid-Connected Inverter

In this paper, optimization of the backstepping controller parameters in a grid-connected single-phase inverter is studied using Imperialist competitive algorithm (ICA), Genetic Algorithm (GA) and Particle swarm optimization (PSO) algorithm. The controller is developed for the system based on state-space averaged model. By selection of a suitable Lyapunov function, stability of the proposed controller is proved in a wide range of operation. Considering different optimization algorithms, steady-state and dynamic responses of the developed system are studied. In addition, THD values for different test are compared. Finally, to verify accuracy of the proposed method, designed controller is simulated using MATLAB/Simulink software.