Stability analysis and bifurcation control of hysteresis current controlled ćuk converter using Filippov’s method

An autonomous Cuk converter controlled by a hysteresis current controller is studied in this paper. Filippov´s method is employed for the first time to investigate the stability of an autonomous power converter. The Neimark bifurcation, via which the converter loses its stabile period one operation, was stabilized by applying two alternative control strategies based on the analysis of the behaviour of the complex eigenvalues of the monodromy matrix of the system.