Adaptive fuzzy synergetic control of nonlinear systems with unknown backlash-like hysteresis

The hysteresis non-linearity exists in many physical systems and materials, such as electrical and mechanical actuators, ferromagnetic and ferroelectric materials. However, this property makes the analysis and control of such systems and devices difficult. In order to control this property, a new Adaptive fuzzy synergetic control strategy is proposed in this paper. Indeed, to highlight the problem, the hysteresis behavior of the system is described using a backlash-like model. Then a synergetic control scheme is proposed to deal with the problem of controlling non-linear hysteretic systems. It's formed of a fuzzy system to approximate the unknown system dynamics with an adaptive synergetic controller to achieve the desired performances. The proposed approach is validated through simulation along with its satisfactory performances.