Robust stabilization of nonlinear sandwich plants containing generalized hysteresis nonlinearities

In this paper an approach for the stabilization problem of sandwich nonlinear systems containing a general nonsmooth nonlinearity is presented. The proposed solution is based on variable structure control theory and ensures the robust ultimate boundedness of the system trajectories in a neighborhood of the origin. Theoretical results have been validated by simulation on a mechanical system representing a robot-like system with one link, preceded by an hysteretic block and a first order actuator dynamics representing a DC motor and the simulation results have been confirmed the effectiveness of the proposed solution.