Global stabilization for second-order nonlinear systems via sampled-data bounded controller

In this paper, the problem of global stabilization for a second-order nonlinear system is considered based on sampled-data bounded controller. A sampled-data bounded controller is designed under which the closed-loop system is transformed to a continuous-time system so that the methods of continuous-time systems can be used in this paper. It is shown that the continuous-time system is globally asymptotic stable both under the unbounded controller and the bounded controller by using the contradiction argument. The numerical example verifies the significance of the results proposed by this paper.