Variable Gain Super-Twisting Sliding Mode Control for Preisach Hysteresis Nonlinearity System

A Variable Gain Super-Twisting Sliding Mode control (VGSTSMC) is provided for hysteresis nonlinearity system. Firstly, the hysteresis nonlinearity is modeled through Preisach operator which is comprised of the Preisach operators. Then, the system will be transformed into the regular state space form to simplify the controller design. Afterward, the sliding manifold and three variable gains are proposed where these parameters not only can shorten the reaching time, but also can reduce the chatting of the SMC. Finally, a Lyapunov function candidate guarantees the stability of the closed-loop as well as provides the reaching time. Simulations demonstrate the effectiveness of the proposed VGSTSMC for the hysteresis nonlinear system.