LMI-Based Robust Voltage Regulation of a Single-Phase Inverter with LC-Filtered Output

This paper presents a linear matrix inequality-based robust control strategy for a single-phase DC-AC inverter with output LC-filter. An all-pass filter is utilized in this paper to create an artificial β-signal so that the proposed controller can be simply used in dq-synchronous frame. This proposed robust controller utilizes a state feedback control with integral action in the dq-synchronous frame so that the offset-error of the system can be eliminated. An LMI-based optimization scheme is used to determine stabilizing gains of the controller to maximize the convergence rate to steady state in the presence of uncertainties. The uncertainties of the system are described as a potential variation range of the inductance and capacitance in the LC-filter.