T-S fuzzy control of a single-phase bidirectional inverter

In this paper, the Takagi-Sugeno (T-S) fuzzy control system is applied to a single-phase bidirectional inverter, which can manipulated on grid connection mode and power factor correction mode. The T-S fuzzy model is formulated by combining the state-space equation of the bidirectional inverter and the integration of tracking error. By adopting the Lyapunov stability theorem, the robust LMI-based stability conditions that satisfy the H ∞ performance is derived to restrain the diode voltage and external disturbances. By using the parallel distributed compensation and solving the LMI stability condition to obtain the control gains, the T-S fuzzy controller of the inverter is designed and does not need to take inductance variations into account. Compared to the D-E approach, simulation results illustrate the proposed T-S fuzzy controller has better robust performance on both the grid.