Stabilization for a class of uncertain nonlinear systems based on CMAC method

Abstract

In this paper, we focus on the stabilization problem for a class of second-order uncertain nonlinear systems via the sampled-data output feedback, where the systems may contain strong nonlinearities. A characteristic model is developed by virtue of some constructive modeling method, and then the golden-section adaptive control based on this characteristic model is given. Also, the closed-loop characteristic model is shown to be stable. Our results improve upon the findings of previous works in removing the globally Lipschitz condition of the controlled plant, expanding the application scope of the golden-section adaptive control to some extend.