The backstepping control of a class of random uncertain linear second order system with single known control direction

A kind of backsteeping control method is researched for a class of random uncertain linear two order system with single known control direction. The rightness of backstepping control is proved by constructing a Lyapunov function and it is compared with PID method. Simulation result shows that the backstepping method has a strong robustness than PID control for second order system with whole random model parameters.