Global state feedback stabilization of a class of feedforward systems under sampled-data control

This paper considers the problem of using a sampled-data state feedback controller to globally stabilize a class of uncertain feedforward nonlinear systems. By using the state transformation of nonlinear systems, the problem of designing controller can be converted into the problem of finding a parameter, which can be solved by selecting the appropriate Hurwitz polynomial coefficients and the sampling period. The state feedback control law is discrete-time and linear, and thus can be easily implemented by computers. Different from many existing control designs for feedforward nonlinear systems, neither forwarding recursive nor saturation computation is utilized here. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.