Control design based on state observer for nonlinear delay systems

This paper is concerned with the problem of feedback control based on state observer for a class of nonlinear delay systems. The purpose was to design a state observer and dynamic output feedback controller such that the closed-loop system is asymptotically stable. A linear matrix inequality (LMI) approach is developed to solve this problem. Finally, a numerical example is presented to illustrate the results given in this paper and simulation shows that the method is very effective.