An Adaptive Fuzzy Control Algorithm for Unknown Multivariable Unknown Non-affine Systems

A new scheme was proposed for the design of fuzzy adaptive control for a class of non-affine systems with unknown control direction. To facilitate the controller design based on the affine-like equivalent model, a Taylor series expansion was used to transform unknown non-affine system into an affine system. The adaptive laws were derived in the Lyapunov sense to ensure the asymptotic stability and tracking of the controlled system. To prove the validity of the proposed method, the simulation results were illustrated in this study.