Observer design for nonlinear systems with interval time-varying delay

This paper investigates the problem of observer design for a class of nonlinear systems with timedelay and uncertain nonlinearity. Firstly, using the Mean-value Theorem and combining constructing the Lyapunov-Krasovskii functional, the convergence conditions of nonlinear observer for a class of nonlinear systems with time-varying delay and uncertain nonlinearity are established in terms of a linear matrix inequality. Then the new sufficient conditions are derived to ensure the convergence of the observer for a class of nonlinear systems with constant time-delay and uncertain nonlinearity. The simulation results are presented to show the effectiveness of the proposed method. Key-Words: Nonlinear systems; Observer; Asymptotic stability; Time-varying delay

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