Systems and methods are disclosed that provide a closed loop power control system including adaptively adjusting the desired target SINR over time so as to ultimately achieve a feasible SINR. In one implementation, a method is provided of optimizing uplink closed loop power control in a RAN in which one or more base stations each service a plurality of mobile stations, including: determining a power level for each mobile station for its respective uplink transmissions, including measuring a current achieved SINR for each mobile station; and for each mobile station, adjusting the power level to be sufficiently high to meet desired transmission characteristics but not so high as to cause unnecessary interference with transmissions from other mobile stations, by adjusting a desired target SINR based on factors selected from the following: current and prior achieved SINRs, current and prior interference measurements, and current and prior transmission power control commands.