Gradient System Modelling of Matrix Converters with Input and Output Filters

Due to its complexity, the dynamics of matrix converters are usually neglected in controller design. However, increasing demands on reduced harmonic generation and higher bandwidths makes it necessary to study large-signal dynamics. A unified methodology that considers matrix converters, including input and output filters, as gradient systems is presented.

Lagrangian modeling and control of DC-to-DC converters

In this paper a method is presented to build an Euler Lagrange model for switching electrical networks in a structured general way, which is also applicable to ideal electrical circuits without switches. The switches make the dynamic models nonlinear. For using the Lagrangian structure for controller design, a preliminary study of the zero-dynamics of such switching network is presented. A case study, where a passivity based controller has been applied, is given for the Ćuk converter