The hysteresis nonlinearity reduces the accuracy of precision instrument.In order to mitigate the effect of the hysteresis, it is necessary to build hysteresis model and compensate hysteresis nonlinearity.The Krasnosel'skii- Pokrovkii (KP) operator is used to build hysteresis model, which the model is divided into linear part and nonlinear part. The KP compensating operator is proposed to compensate nonlinear part of hysteresis model. The Sliding model adaptive control law for the control method is deduced from the Lyapunov stability theorem. The emulational results co...