Adaptive Fuzzy Backstepping Control for A Class of Nonlinear Systems With Sampled and Delayed Measurements


This paper investigates the adaptive fuzzy backstepping control and H∞ performance analysis for a class of nonlinear systems with sampled and delayed measurements. Within the management scheme, a fuzzy-estimator (FE) model is employed to estimate the states of the controlled plant, whereas the fuzzy logic systems are used to approximate the unknown nonlinear functions within the nonlinear system. The controller is obtained based on the FE model by combining the backstepping technique with the classic adaptive fuzzy control method. In the soundness analysis, all the signals in the closed-loop system are absolute to be semiglobally uniformly ultimately bounded (SUUB) and the outputs of the system are proven to converge to a small neighborhood of origin. Furthermore, the H∞ performance is investigated and also the outputs of the closed-loop system are bounded in the H∞ sense. Two examples are given to illustrate the effectiveness of the proposed management theme.

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