Single-sided Linear Induction Motors (SLIMs) have been widely used in various applications for demanding direct motion or wheelless contact, e.g, the maglev transportation, in which SLIMs are employed as the traction component. Due to its special structure, the SLIM will generate attractive force as it generates thrust force. Within limited input power, in order to maximize the thrust force and restrict the attractive force, a half region dynamical slip-frequency(HRDSF) control scheme for SLIM is proposed. If SLIM is operated under acceleration or deceleration operations,slip-frequency is controlled in the high slip-frequency region close to the maximum thrust point in order to obtain the maximum thrust, and if SLIM is operated under coasting operation, slip-frequency is automatically adjusted at large value to generate a particular thrust corresponding to moving resistance, and the attractive force values, meanwhile, are kept at small values. The validity of the proposed method are verified by both simulations and experimental tests.