Stabilization of a Class of Active Ladder Circuits based on a Wave Repetitive Process Approach by means of Multidimensional Wave Digital Filters

Recently, the theory of Wave Repetitive Processes has been applied to derive a control for a class of ladder circuits that features wave-like active inter-stage connections [1]. There, the discretization of the circuit has been implemented by means of a basic difference scheme. Wave Digital Filter (WDF) theory provides a more elaborate scheme that ensures a number of favourable properties, and is typically used for strictly passive circuits. In this paper, the adaptability of such an active circuit by means of Multidimensional Wave Digital Filters (MDWDF) is analysed with regard to the implementation of non-standard elements as multiple sources and intra-structural secondary connections. Conclusively, the simulation results are studied and compared.