Adaptive sampled-data output tracking of parametric strict-feedback non-linear systems

Abstract

In this study, the authors address the problem of output tracking for single-input and single-output (SISO) parametric strict-feedback (PSF) non-linear systems in the presence of uncertain parameters under adaptive sampled-data control. The main contributions of this work are twofold: (i) the authors develop a systematic design procedure for adaptive sampled-data controller by combining the backstepping technique with two kinds of discretisation approaches; and (ii) they also provide a theoretical analysis for the performance of sampled-data controller, which shows that the proposed adaptive sampled-data controller can regulate the tracking error to any given neighbourhood of the origin and the state of the sampled-data closed-loop system is bounded. Finally, an illustrative example is given to demonstrate the effectiveness of the presented method.