Sliding Mode Control of Second Order System based on Equivalent Transfer Function Method

To solve the high order derivative of control law problem caused by double control coefficients of a kind of second order system, a kind of novel equivalent transfer function method is integrated with common sliding mode method. And the system stability is proved by constructing a Lyapunov function. Furthermore, to make the system stable, the condition for the stability of transfer function should also be satisfied. And at last, detailed simulation results shows the rightness of the proposed method.