Abstract: I. INTRODUCTION In this paper, a new parameter design method is presented for (6k±1)-order RC strategy , in which, the design process is subdivided to each parameter in a selected sequence, and the design method can also be applied in the most part of RC type controller. II. MODELING OF (6K ±1)-ORDER HCS Fig.1 shows the “plug-in” RC structure, in which, RC structure is a separate part which can be easily added to forward path of traditional control. Fig.1 Plug-in digital “6k ± 1” RC system (1) III. ANALYZATION OF (6K ± 1)-ORDER RC the stability condition can be concluded as follow: (1) The roots of are in unit circle10; (2) The roots of equation (7) are all in unit circle; (2) The close-loop transfer function of traditional control plant To keep the stability of the system, compensation part Gf (z) should be chosen as follows: (3) The system should satisfy some condition : (1) P(z) should be elaborately designed to make it easier for the design of Gf (z) ; (2) The range of Kr should be limited in the range Kr Î0,1 ; (3) S(z) is used to provide the damping function to improve high frequency stability margin; (4) Zd is used to compensate the phase delay of P(z) and to make Gf (z)* P(z) close to a constant. Fig. 2 Design of (6k±1)-order RC IV. SIMULATION AND EXPERIMENTS To verify the effectiveness of the design method (6k±1)-order RC proved in this paper, HCS is selected as a platform to perform the control strategy. Both simulation and experiments are carried out to make the comparison. (a) simulation result (b) Experiments result Fig.3 dynamic response of (6k±1)-order RC (a) Simulation verification (b) Experiment verification Fig.4 Tracking error of (6k±1)-order RC Fig.5 tracking error percentage of experiments V. CONCLUSIONS Compared with conventional RC, the (6k±1)-order RC can increase the tracking speed significantly without the lost of accuracy. However, the RC parameters design process is not specific for the complexity of its internal structure, This paper mainly focus on the design process of (6k±1)-order RC, by analyzing the control plant, an approximation method is proposed, in which the compensation part still uses the same structure as that of conventional RC, the only difference is that we use the trial and error method to select the optimal parameters. The simulation and experiment result also prove that the design method is useful and practical.