On Observers Design for Nonlinear Time-Delay Systems.

摘要

In this note, we investigate a new approach for observer synthesis of nonlinear time delay systems. This approach is based on the Differential Mean Value Theorem (DMVT). Using the Lyapunov-Krasovskii functionals and the DMVT, we give new sufficient synthesis conditions for the observer design problem. These conditions are formulated as matrix inequalities which become linear whenever an unknown scalar variable is chosen a priori.