THE AIRPLANE WAS ON THE BASE LEG FOR LANDING. THE ENGINE LOST TOTAL POWER DUE TO DEPLETION OF THE FUEL IN THE SELECTED TANK. THE PILOT ATTEMPTED A RESTART AFTER SWITCHING TO THE OTHER FUEL TANK AS HE WAS EXECUTING AN EMERGENCY LANDING TOWARD THE AIRPORT. DURING THE DESCENT, THE PILOT LOWERED THE FLAPS TO THE FULL DOWN POSITION. JUST PRIOR TO TOUCHDOWN, THE LEFT HORIZONTAL STABILIZER STRUCK A 3 FEET HIGH FENCE POST AND A HARD LANDING RESULTED.