Adaptive Fuzzy Control Scheme With Guaranteed Performance For Uncertain Nonlinear Systems Preceded By Preisach Operator

To characterize the hysteresis nonlinearities in smart materials, various phenomenological models have been developed in literature, among which the Preisach operator would be the most popular one as it can model quite complex and various shape hysteresis curves. In this paper, we present a new factorization form of the Preisach operator so that it can be fused with the existing control design techniques, and propose a complete direct adaptive fuzzy control scheme which well addresses the predetermined output tracking problem of uncertain nonlinear systems preceded by the Preisach operator. The effectiveness of our scheme is illustrated by a simulation results from practical control system.