As a complicated,high speed,non-linear,multivariable,strongly coupled,naturally unstable non-minimum phase system,inverted pendulum represents the under-driven control family.The non-linear mathematical model of the inverted pendulum system is formulated.After analyzing the non-linear characteristics of the system,in the vicinity of the equilibrium point of it,the model is linearized,and the state equation is deduced.On based of state feedback control method,a BP neural network is designed.It can approach t...