Direct adaptive fuzzy control for a class of nonlinear discrete-time systems
一类非线性离散系统的直接自适应模糊控制

A new design scheme of direct adaptive fuzzy control for a class of nonlinear discrete-time systems with delay is proposed in this paper.Firstly,the Takagi-Sugeno (T-S) fuzzy model is used to represent the systems.Secondly,the basic idea of the so-called Parallel Distributed Compensation (PDC) is employed to design the fuzzy controller with unknown parameters.Thirdly,the parameters of the controller are identified by gradient descent algorithm on-line.Furthermore, by Input-to-State Stability (ISS) approach,the error between the system output and the reference output is proved to be bounded and to satisfy some average performance.Finally,simulation results show the effectiveness of the proposed scheme.