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The present work describes the analysis, modeling and control of a cascade DC-DC and DC-AC power conditioning stage to control a output voltage to supply a DC and AC load systems. To maximize energy extracted from PV generator and control output voltage a RCC MPPT and backstepping controller are designed. The stability of the control algorithm is demonstrated by means of Lyapunov analysis. The achievement of the DC-DC and DC-AC conversions and the efficient PV's energy extraction are validateddoi:10.3844/ajeassp.2016.894.901 fatcat:e7p7z2eo7fdejaibnu37tviyhi