Design of a Robust Control for a Single-Phase AC-DC Converter Using LMI Technique

The dq-synchronous frame method is a widely used framework for three-phase converters due to its DC like character. However, a single-phase wave form cannot be converted directly into a dq-signal. Thus, this proposed controller utilizes all-pass filters to create imaginary B-signals from the original AC voltage and current. Then, aB-signals can be simply converted into dq-signals using the transform matrix. This proposed controller consists of a double loops control, robust inner loop, and outer loop PI control. The robust control uses state feedback with integral control to eliminate steady state error and bring stability to the system. The gains of controller determine by solving optimization problem so that the convergence time is minimize with the presence of uncertainty of the L-filter. The simulation studies are conducted to verify the efficiency of the proposed method using PSIM simulation tool.