H₂-LMI-Based High Performance Control for Matrix Converter

This article presents a new control algorithm for matrix converters based on full-state feedback. An H-2-linear matrix inequality (LMI) framework has been adopted to expand the system stability region. The proposed approach differs from other stabilization methods proposed in literature by its ability to increase the power transfer through the converter while maintaining high control bandwidth and preserving the quality of input and output quantities. A Kalman filter has been introduced to estimate the full system state avoiding the installation of additional sensors. Furthermore, the method has a limited computational burden not requiring high performance control platform. Experimental tests compare the performance of the proposed strategy with a stabilization approach previously proposed in terms of stability performance and power quality.