In this paper, we analyze and control the DPS system, calculate the dissipation function, and prove its chaos with Lyapunov index. Routh-hurwitz criterion was used to judge the stability of the equilibrium point, and matlab numerical simulation phase diagram verified that the system has a rich dynamic phenomenon and is not similar to Lorenz system topology. Three methods, namely differential feedback control method, constant external excitation control method and x|x| control method, were used to control the chaos of the DPS system respectively. Matlab simulation shows that the DPS system can be effectively controlled. X |x| control method is improved, and Lorenz system, Chen system, Lu system, Rossler system control and matlab numerical simulation phase diagram and bifurcation diagram are obtained.