Adaptive Sliding Mode Controller Design for Uncertain Second Order System with Single Known Control Coefficient

A kind of second order system with single known control coefficient is controlled with adaptive sliding mode method. The adaptive strategy is adopted to solve the uncertain parameters of model. The sliding mode method is proved to be different from backstepping method that the gain of controller is not necessary to be very big. That is the advantage of sliding mode and it is also testified by the detailed numerical simulation but if the control coefficient is also unknown then the high gain of controller is still needed to guarantee the stability of the whole system. The consistency of sliding mode control method is also testified by the multi-time random simulation.