Optimal control strategy for stability of Hammerstein backlash systems

In this paper, an optimal control strategy with inverse model is designed for the stability analysis of Hammerstein systems with backlash. In this control strategy, the inverse model compensation mechanism is set up to offset the adverse influence of nonlinear nonsmooth plant on the control system. Subsequently, by minimizing the defined objective function integrating with stability analysis, the stabilized optimal control strategy is proposed. The derived control strategy and stability criterion are substantiated via the results of simulation based on the mechanical transmission system.