Stabilization of a class of nonlinear time-delay systems in the presence of input saturation by output feedback control

This paper deals with the stabilization problem of a class of nonlinear time-delay systems with input saturation by output feedback control. The precise knowledge of the nonlinearities and the time delay need not to be known a priori. It is just required to satisfy linear growth condition. With the construction of linear observer, we give the design of the controller and prove the local stabilization of the closed-loop system with appropriate Lyapubov-Krasovskii functional. What's more, linear matrix inequalities are formulated to determine the estimation of the domain of the attraction. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.