Sliding mode control of multiple modular DC-to-DC power converters

Autonomous systems of electric power supply consisted of one common primary source of electric power supply and a set of multiple modular switched-controlled secondary sources of electric power supply (DC-to-DC power converters) are considered. The interconnection of the processes in secondary sources through the common primary source increases the dimension of the switched-control problem and leads to extra nonlinear (bilinear) effects. The problem of the stabilization of the voltage transformed by the multiple modular switched-controlled secondary sources of electric supply is formulated and solved in sliding modes. The robust decoupled linear desired behavior of the stabilization errors of the transformed voltage is guaranteed in local sliding modes. In order not to overload some of the basic DC-to-DC power converters within each multiple modular secondary source of electric power supply the differences between the currents consumed by these basic converters are set to zero in sliding modes