Sampled-data Stabilization for a Class of Nonlinear Uncertain Systems Based on Characteristic Models

Abstract

This paper investigates the stabilization problem for a class of high-order nonlinear uncertain systems via the sampleddata output feedback, which is subjected to strong nonlinearities. By a constructive discretization modeling method, a characteristic model is established, and then the golden-section adaptive controller based on such a characteristic model is developed. The closed-loop system is shown to be semi-globally stable, and the steady-state error can be made sufficiently small. Our results improve upon the findings of previous works in removing the globally Lipschitz constraint on controlled systems, expanding the application scope of the golden-section adaptive control to a certain extent.