Variable gain super-twisting sliding mode control for Hammerstein system with Bouc-Wen hysteresis nonlinearity

A variable gain super-twisting sliding mode control is proposed for Hammerstein system where nonlinearity is implemented by Bouc-Wen model. Firstly, the Hammerstein system is transformed to the regular form. Then, three variable gains are designed for the super-twisting sliding mode control which can alleviate the chattering of the control. Finally, a Lyapunov theorem guarantees the stability of the control system and a finite-time rigorous convergence is proved for the variable gain super-twisting sliding mode control system. Simulation results verify the effectiveness of the proposed variable gain super-twisting algorithm (VGSTA).