Observer design for a class of Lipschitz nonlinear uncertain systems with time delay

The problem of observer design for a class of nonlinear uncertain time-delay systems satisfying Lipschitz condition was considered. By constructing the appropriate Lyapunov Krasovskii functional and using recursive method, the state observer making the observer error asymptotically convergence to zero is constructed. By using the linear matrix inequality approach, the solution of observer gain matrix which is dependent on the size of the delay, is also given and proved. The conclusions extend and improve some results in the literature. .