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A power system consisting of a photovoltaic (PV) array panel, dc-to-dc switching converter and a battery is considered in this paper. A backstepping PWM controller is developed to maximize the power of the solar generating system. The controller tracks a desired array voltage, designed online using an incremental conductance extremum-seeking algorithm, by varying the duty cycle of the switching converter. The stability of the control algorithm is demonstrated by means of Lyapunov analysis.