A simple PS adaptive integral sliding mode controller is designed for the pitch channel linear model of supersonic missile firstly. In order to improve the performance of the proposed method, two improvements also proposed. Finally, a hybrid PISS adaptive control is formed which contains proportion control, integration control, the sign function adn soft function. Also nurmerical simulations are done to the testify the above theory. And it shows that both the proportion control and sign function control methods are unable to achieve a satisfactory performance for supersonic missile system. And the integration of soft function , integral control item and proportion control can solve the chattering problem and static error problem. At last, simualtion figures shows that the PISS mehtod also has a strong robustness, which is testified by increasing or decreasing air-coefficients of the missile system .

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