Adaptive fuzzy dynamic surface control for uncertain discrete-time nonlinear systems in pure-feedback form using a set of noisy measurements

Abstract

This paper is concerned with the design of an adaptive fuzzy dynamic surface control for multi-input multi-output uncertain discrete-time nonlinear systems in pure-feedback form. The states of the systems are observed with independent measurement noises. The design approach of the proposed adaptive fuzzy dynamic surface control is described as follows. By applying the theory of the adaptive fuzzy dynamic surface control, the problem of the explosion of complexity due to the repeated differentials of nonlinear functions is removed so that the controller is simplified in a structure at the first stage; second, the number of the adjustable parameters is reduced by using the simplified extended single-input rule modules; and, finally, the simplified weighted least squares estimator is designed to take the estimates for the unmeasurable states and the adjustable parameters. The simulation experiment for a simple numerical system provides the effectiveness of the proposed approach.