This paper evokes the nonlinear control of single phase grid connected to the photovoltaic system through an adaptation circuit based on a half bridge inverter and L filter. The control objectives are threefold: i) Perfect MPPT: extracting the Maximum power from the PV array by acting on the DC-DC converter ii) Unity power factor in the grid: provide a sinusoidal current  in phase with the grid voltage by controlling DC/AC converter iii) Regulating the output voltage to a desired reference value. The problem is dealt with by designing a nonlinear controller using a combination between Sliding mode, Backstepping approach and Lyapunov stability based on an averaged nonlinear model of 5th order. The system configuration includes a photovoltaic generator, DC-DC converter, DC-AC half bridge inverter coupled to grid. The system is controlling via the input control of the DC-DC converter and DC-AC inverter. The majorities of works that deal with this system were based on the inverter controlled by the Backstepping approach or the sliding mode approach, while this work processes the command through a combination of both, and make improvement in the phenomenon of chattering. The half bridge inverter present many advantage, such as the low cost because reducing of number of interrupters and the current in output is the double compared to the inverter half-bridge. The simulation results have been performed through Matlab/Simulink environment and show that the designed controller meets its objective.