A class of nonlinear discrete-time system adaptive control based on second level multiple models

摘要

Using multiple models to deal with transients for adaptive systems which is large parametric uncertainties was introduced in the 1990s. The common method is using switching schemes. However, these methods has some potential drawbacks. In this paper, a new multiple models scheme is proposed for a class strict-feedback nonlinear discrete-time systems. Firstly, we use feedback linearization and backstepping method to develop adaptive indirect schemes with an observer-based identifier to system. Secondly, we design a controller based on the convex hull of parameter estimates. Which the number of necessary models is less than switching scheme, and can use the information of all identification models. Lastly, simulation have demonstrated that this method is effectively to a class of strict-feedback nonlinear discrete-time system.