Adaptive fuzzy synergetic control for nonlinear hysteretic systems

The nonlinear hysteretic behavior exists in many systems and makes their analysis and control an arduous task. Based on adaptive fuzzy synergetic control strategy, this paper deals with the control of a class of nonlinear systems preceded by an unknown backlash nonlinearity. Fuzzy logic systems are used to estimate the unknown nonlinear behaviors of the system, and a novel adaptive fuzzy controller is designed via synergetic control theory. Stability is proven, theoretically, in the sense of bounded closed-loop signals, and a tracking error converges to the origin. Simulation results validate the proposed approach and give an overview on the achieved tracking performances.