This thesis deals with the random control of three phase Buck-Boost converter with input current power factor correction. These structures are less investigated in spite of the great advantage which they bring compared to the Boost structures. So in this PhD we investigate new solutions allowing to obtain a Buck-Boost structure more competitive compared to the Boost (reliability, cost and EMC constraints). After a short presentation of the study context in the first chapter, the second one deals with the control system, dimensioning and implementation. The third chapter describes the randomized carrier frequency modulation. This technique attenuates the power spectral density of input current and preserves the fundamental component. The fourth chapter is dedicated to reliability improvement and reduces of manufacture cost. This consists to reduce the number of used sensors and only measure DC bus signals. This sensorless control requires fast algorithms to rebuild all signals (not measured but necessary for control). The final chapter is dedicated to the experimental study and simulations. Concerning the modulation analysis, the experimental study validates theoretical results. Moreover, simulations (with experimental constraints) allow validating the dynamic of converter, its dimensioning, as well as the rebuilding of the all signals...
