This paper describes a non-IQ controller for digital Low Level RF (LLRF) feedback control. Based on this non-IQ sampling method, arbitrary frequency relationship between ADC/DAC sampling clocks and IF signals can be employed. The nonlinearity in digital conversion can be reduced and the system dynamic performance improved. This paper analyzes the nonlinearity in conventional IQ sampling, gives the state variable description of the non-IQ algorithm, presents an implementation and its synchronization, and compares its performances with IQ sampling.