Output feedback stabilization of nonlinear systems with delayed output

It is proposed a novel and simple design scheme of output feedback controllers for a class of nonlinear systems with delayed output. The designed controllers have a very simple structure and do not involve any saturations or recursive computations. Moreover, the nonlinear systems considered here are more general than feedforward systems, and they could be viewed as generalized feedforward systems. By constructing appropriate Lyapunov-Krasovskii functional (LKF) and solving linear matrix inequalities (LMIs), the delay-dependent controller making the closed-loop system globally asymptotically stable (GAS) is explicitly constructed. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.