Abstract: This paper presents an integral sliding mode control with adaptive parameters for a class of systems satisfying some conditions when the upper bounds of uncertainties are unknown. The switching function includes the integral of tracking error to avoid assuming that the derivative of desired signal must be known in conventional sliding mode variable structure control. This control approach uses the parameter adaptive algorithm based on the Lyapunov method to make the system reject disturbances. The proposed method is applied to slowly rotating non-cooperative target in an arbitrary elliptical orbit synchronous fly-around position tracking control. Simulation results indicate that the control approach is robust and improves the tracking accuracy considerably.

Key words: slowly rotating target, elliptical orbit, integral sliding mode control, adaptive control