Abstract
In this paper, we will pose a state estimation method for a class of nonlinear uncertain time-delay systems using an SMO. Thus, we will report a new method of SMO synthesis, where the fundamental notion is to mix the SMO perception with an adequate alternative of a Lyapunov-Krasovskii functional with LMI optimization. This way is old, but our contribution to operate these procedures to get another SMO that differs from further efforts in this class of the studied systems and, in particular, uncertain time-delay systems with lipschitzian nonlinearities, with a view to guarantee the stability of the dynamics of error of estimation and to determine the gains this observer. A model is designed to explain the adequacy of the approaches considered.
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